Continuous Distributions In Engineering And The Applied Sciences Part Ii

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Continuous Distributions in Engineering and the Applied Sciences -- Part II

Author : Rajan Chattamvelli
Publisher : Springer Nature
ISBN 13 : 3031024354
Total Pages : 145 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Continuous Distributions in Engineering and the Applied Sciences -- Part II by : Rajan Chattamvelli

Download or read book Continuous Distributions in Engineering and the Applied Sciences -- Part II written by Rajan Chattamvelli and published by Springer Nature. This book was released on 2022-06-01 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second part of our book on continuous statistical distributions. It covers inverse-Gaussian, Birnbaum-Saunders, Pareto, Laplace, central 2, , , Weibull, Rayleigh, Maxwell, and extreme value distributions. Important properties of these distribution are documented, and most common practical applications are discussed. This book can be used as a reference material for graduate courses in engineering statistics, mathematical statistics, and econometrics. Professionals and practitioners working in various fields will also find some of the chapters to be useful. Although an extensive literature exists on each of these distributions, we were forced to limit the size of each chapter and the number of references given at the end due to the publishing plan of this book that limits its size. Nevertheless, we gratefully acknowledge the contribution of all those authors whose names have been left out. Some knowledge in introductory algebra and college calculus is assumed throughout the book. Integration is extensively used in several chapters, and many results discussed in Part I (Chapters 1 to 9) of our book are used in this volume. Chapter 10 is on Inverse Gaussian distribution and its extensions. The Birnbaum-Saunders distribution and its extensions along with applications in actuarial sciences is discussed in Chapter 11. Chapter 12 discusses Pareto distribution and its extensions. The Laplace distribution and its applications in navigational errors is discussed in the next chapter. This is followed by central chi-squared distribution and its applications in statistical inference, bioinformatics and genomics. Chapter 15 discusses Student's distribution, its extensions and applications in statistical inference. The distribution and its applications in statistical inference appears next. Chapter 17 is on Weibull distribution and its applications in geology and reliability engineering. Next two chapters are on Rayleigh and Maxwell distributions and its applications in communications, wind energy modeling, kinetic gas theory, nuclear and thermal engineering, and physical chemistry. The last chapter is on Gumbel distribution, its applications in the law of rare exceedances. Suggestions for improvement are welcome. Please send them to [email protected].

Continuous Distributions in Engineering and the Applied Sciences -- Part I

Author : Rajan Chattamvelli
Publisher : Springer Nature
ISBN 13 : 3031024303
Total Pages : 151 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Continuous Distributions in Engineering and the Applied Sciences -- Part I by : Rajan Chattamvelli

Download or read book Continuous Distributions in Engineering and the Applied Sciences -- Part I written by Rajan Chattamvelli and published by Springer Nature. This book was released on 2022-06-01 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory book on continuous statistical distributions and its applications. It is primarily written for graduate students in engineering, undergraduate students in statistics, econometrics, and researchers in various fields. The purpose is to give a self-contained introduction to most commonly used classical continuous distributions in two parts. Important applications of each distribution in various applied fields are explored at the end of each chapter. A brief overview of the chapters is as follows. Chapter 1 discusses important concepts on continuous distributions like location-and-scale distributions, truncated, size-biased, and transmuted distributions. A theorem on finding the mean deviation of continuous distributions, and its applications are also discussed. Chapter 2 is on continuous uniform distribution, which is used in generating random numbers from other distributions. Exponential distribution is discussed in Chapter 3, and its applications briefly mentioned. Chapter 4 discusses both Beta-I and Beta-II distributions and their generalizations, as well as applications in geotechnical engineering, PERT, control charts, etc. The arcsine distribution and its variants are discussed in Chapter 5, along with arcsine transforms and Brownian motion. This is followed by gamma distribution and its applications in civil engineering, metallurgy, and reliability. Chapter 7 is on cosine distribution and its applications in signal processing, antenna design, and robotics path planning. Chapter 8 discusses the normal distribution and its variants like lognormal, and skew-normal distributions. The last chapter of Part I is on Cauchy distribution, its variants and applications in thermodynamics, interferometer design, and carbon-nanotube strain sensing. A new volume (Part II) covers inverse Gaussian, Laplace, Pareto, 2, T, F, Weibull, Rayleigh, Maxwell, and Gumbel distributions.

Continuous Univariate Distributions

Author : Norman Lloyd Johnson
Publisher :
ISBN 13 :
Total Pages : 760 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Continuous Univariate Distributions by : Norman Lloyd Johnson

Download or read book Continuous Univariate Distributions written by Norman Lloyd Johnson and published by . This book was released on 1994 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a detailed description of the statistical distributions that are commonly applied to such fields as engineering, business, economics and the behavioural, biological and environmental sciences.

Discrete Distributions in Engineering and the Applied Sciences

Author : Rajan Chattamvelli
Publisher : Springer Nature
ISBN 13 : 3031024257
Total Pages : 205 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Discrete Distributions in Engineering and the Applied Sciences by : Rajan Chattamvelli

Download or read book Discrete Distributions in Engineering and the Applied Sciences written by Rajan Chattamvelli and published by Springer Nature. This book was released on 2022-06-01 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory book on discrete statistical distributions and its applications. It discusses only those that are widely used in the applications of probability and statistics in everyday life. The purpose is to give a self-contained introduction to classical discrete distributions in statistics. Instead of compiling the important formulas (which are available in many other textbooks), we focus on important applications of each distribution in various applied fields like bioinformatics, genomics, ecology, electronics, epidemiology, management, reliability, etc., making this book an indispensable resource for researchers and practitioners in several scientific fields. Examples are drawn from different fields. An up-to-date reference appears at the end of the book. Chapter 1 introduces the basic concepts on random variables, and gives a simple method to find the mean deviation (MD) of discrete distributions. The Bernoulli and binomial distributions are discussed in detail in Chapter 2. A short chapter on discrete uniform distribution appears next. The next two chapters are on geometric and negative binomial distributions. Chapter 6 discusses the Poisson distribution in-depth, including applications in various fields. Chapter 7 is on hypergeometric distribution. As most textbooks in the market either do not discuss, or contain only brief description of the negative hypergeometric distribution, we have included an entire chapter on it. A short chapter on logarithmic series distribution follows it, in which a theorem to find the kth moment of logarithmic distribution using (k-1)th moment of zero-truncated geometric distribution is presented. The last chapter is on multinomial distribution and its applications. The primary users of this book are professionals and practitioners in various fields of engineering and the applied sciences. It will also be of use to graduate students in statistics, research scholars in science disciplines, and teachers of statistics, biostatistics, biotechnology, education, and psychology.

Distributions in the Physical and Engineering Sciences, Volume 3

Author : Alexander I. Saichev
Publisher : Birkhäuser
ISBN 13 : 3319925865
Total Pages : 413 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences, Volume 3 by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences, Volume 3 written by Alexander I. Saichev and published by Birkhäuser. This book was released on 2018-08-03 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the authors’ multivolume project, this text considers the theory of distributions from an applied perspective, demonstrating how effective a combination of analytic and probabilistic methods can be for solving problems in the physical and engineering sciences. Volume 1 covered foundational topics such as distributional and fractional calculus, the integral transform, and wavelets, and Volume 2 explored linear and nonlinear dynamics in continuous media. With this volume, the scope is extended to the use of distributional tools in the theory of generalized stochastic processes and fields, and in anomalous fractional random dynamics. Chapters cover topics such as probability distributions; generalized stochastic processes, Brownian motion, and the white noise; stochastic differential equations and generalized random fields; Burgers turbulence and passive tracer transport in Burgers flows; and linear, nonlinear, and multiscale anomalous fractional dynamics in continuous media. The needs of the applied-sciences audience are addressed by a careful and rich selection of examples arising in real-life industrial and scientific labs and a thorough discussion of their physical significance. Numerous illustrations generate a better understanding of the core concepts discussed in the text, and a large number of exercises at the end of each chapter expand on these concepts. Distributions in the Physical and Engineering Sciences is intended to fill a gap in the typical undergraduate engineering/physical sciences curricula, and as such it will be a valuable resource for researchers and graduate students working in these areas. The only prerequisites are a three-four semester calculus sequence (including ordinary differential equations, Fourier series, complex variables, and linear algebra), and some probability theory, but basic definitions and facts are covered as needed. An appendix also provides background material concerning the Dirac-delta and other distributions.

Distributions in the Physical and Engineering Sciences, Volume 2

Author : Alexander I. Saichev
Publisher : Springer Science & Business Media
ISBN 13 : 0817646523
Total Pages : 427 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences, Volume 2 by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences, Volume 2 written by Alexander I. Saichev and published by Springer Science & Business Media. This book was released on 2013-09-05 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis. Volume 2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project which endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students and researchers in applied mathematics, physical sciences, and engineering. It contains an analysis of the three basic types of linear partial differential equations--elliptic, parabolic, and hyperbolic--as well as chapters on first-order nonlinear partial differential equations and conservation laws, and generalized solutions of first-order nonlinear PDEs. Nonlinear wave, growing interface, and Burger’s equations, KdV equations, and the equations of gas dynamics and porous media are also covered. The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. Features · Application oriented exposition of distributional (Dirac delta) methods in the theory of partial differential equations. Abstract formalism is keep to a minimum. · Careful and rich selection of examples and problems arising in real-life situations. Complete solutions to all exercises appear at the end of the book. · Clear explanations, motivations, and illustration of all necessary mathematical concepts.

Beyond Beta

Author : Samuel Kotz
Publisher : World Scientific
ISBN 13 : 9812561153
Total Pages : 308 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Beyond Beta by : Samuel Kotz

Download or read book Beyond Beta written by Samuel Kotz and published by World Scientific. This book was released on 2004 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical distributions are fundamental to Statistical Science and are a prime indispensable tool for its applications. This monograph is the first to examine an important but somewhat neglected field — univariate continuous distribution on a bounded domain, excluding the beta distribution. It provides an elementary but thorough discussion of “novel” contributions developed in recent years, such as the two-sided power, generalized trapezoidal and generalized Topp and Leone distributions, among others. It discusses a general framework for constructing two-sided distributions and some of its properties. It contains a comprehensive chapter on the triangular distribution as well as a chapter on earlier extensions not emphasized in existing literature. Special attention is given to estimation, in particular, non-standard maximum likelihood procedures. The applications are drawn mainly from the econometric and engineering domains.

Descriptive Statistics for Scientists and Engineers

Author : Rajan Chattamvelli
Publisher : Springer Nature
ISBN 13 : 3031323300
Total Pages : 142 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Descriptive Statistics for Scientists and Engineers by : Rajan Chattamvelli

Download or read book Descriptive Statistics for Scientists and Engineers written by Rajan Chattamvelli and published by Springer Nature. This book was released on 2023-06-21 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces descriptive statistics and covers a broad range of topics of interest to students and researchers in various applied science disciplines. This includes measures of location, spread, skewness, and kurtosis; absolute and relative measures; and classification of spread, skewness, and kurtosis measures, L-moment based measures, van Zwet ordering of kurtosis, and multivariate kurtosis. Several novel topics are discussed including the recursive algorithm for sample variance; simplification of complicated summation expressions; updating formulas for sample geometric, harmonic and weighted means; divide-and-conquer algorithms for sample variance and covariance; L-skewness; spectral kurtosis, etc. A large number of exercises are included in each chapter that are drawn from various engineering fields along with examples that are illustrated using the R programming language. Basic concepts are introduced before moving on to computational aspects. Some applications in bioinformatics, finance, metallurgy, pharmacokinetics (PK), solid mechanics, and signal processing are briefly discussed. Every analyst who works with numeric data will find the discussion very illuminating and easy to follow.

Characterizations of Recently Introduced Univariate Continuous Distributions II

Author : G. G. Hamedani
Publisher :
ISBN 13 : 9781536150957
Total Pages : 436 pages
Book Rating : 4.1/5 (59 download)

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Book Synopsis Characterizations of Recently Introduced Univariate Continuous Distributions II by : G. G. Hamedani

Download or read book Characterizations of Recently Introduced Univariate Continuous Distributions II written by G. G. Hamedani and published by . This book was released on 2019-05-17 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is, as far as the author has gathered, the second of its kind (the first one was published by Nova in 2017 with coauthors Hamedani and Maadooliat) which presents various characterizations of a wide variety of continuous distributions. These two monographs could also be used as sources to prevent reinventing and duplicating the already exiting distributions. This current book consists of seven chapters. The first chapter lists cumulative and density functions of two hundred univariate distributions. Chapter two provides characterizations of these distributions: (i) based on the ration of two truncated moments; (ii) in terms of the hazard function; (iii) in terms of the reverse hazard function; (iv) based on the conditional expectation of certain functions of the random variable. Chapter three includes the characterizations of twenty distributions, including a published paper (Hamedani and Safavimanesh, 2017). Chapter four presents characterizations of thirty six distributions, and contains a published paper (Hamedani, 2017). Chapter five covers the characterizations of forty one distributions, as well as a published paper (Hamedani, 2018a). Chapter six presents characterizations of eighty distributions, and also contains a published paper (Hamedani, 2018b). Finally, chapter seven consists of seventy proposed distributions. The main reason to include previously published papers in Chapters 3-6 is to provide a rather complete source for the interested researchers who would want to avoid reinventing the existing distributions.

Statistical Distributions

Author : Nick T. Thomopoulos
Publisher : Springer
ISBN 13 : 9783319651118
Total Pages : 172 pages
Book Rating : 4.6/5 (511 download)

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Book Synopsis Statistical Distributions by : Nick T. Thomopoulos

Download or read book Statistical Distributions written by Nick T. Thomopoulos and published by Springer. This book was released on 2017-10-18 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a description of the group of statistical distributions that have ample application to studies in statistics and probability. Understanding statistical distributions is fundamental for researchers in almost all disciplines. The informed researcher will select the statistical distribution that best fits the data in the study at hand. Some of the distributions are well known to the general researcher and are in use in a wide variety of ways. Other useful distributions are less understood and are not in common use. The book describes when and how to apply each of the distributions in research studies, with a goal to identify the distribution that best applies to the study. The distributions are for continuous, discrete, and bivariate random variables. In most studies, the parameter values are not known a priori, and sample data is needed to estimate parameter values. In other scenarios, no sample data is available, and the researcher seeks some insight that allows the estimate of the parameter values to be gained. This handbook of statistical distributions provides a working knowledge of applying common and uncommon statistical distributions in research studies. These nineteen distributions are: continuous uniform, exponential, Erlang, gamma, beta, Weibull, normal, lognormal, left-truncated normal, right-truncated normal, triangular, discrete uniform, binomial, geometric, Pascal, Poisson, hyper-geometric, bivariate normal, and bivariate lognormal. Some are from continuous data and others are from discrete and bivariate data. This group of statistical distributions has ample application to studies in statistics and probability and practical use in real situations. Additionally, this book explains computing the cumulative probability of each distribution and estimating the parameter values either with sample data or without sample data. Examples are provided throughout to guide the reader. Accuracy in choosing and applying statistical distributions is particularly imperative for anyone who does statistical and probability analysis, including management scientists, market researchers, engineers, mathematicians, physicists, chemists, economists, social science researchers, and students in many disciplines.

Distributions in the Physical and Engineering Sciences: Random and anomalous fractional dynamics in continuous media

$Download Distributions in the Physical and Engineering Sciences: Random and anomalous fractional dynamics in continuous media PDF Online Free$

Author : A. I. Saichev
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (96 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences: Random and anomalous fractional dynamics in continuous media by : A. I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences: Random and anomalous fractional dynamics in continuous media written by A. I. Saichev and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.

Distributions in the Physical and Engineering Sciences

Author : Alexander I. Saichev
Publisher : Birkhäuser
ISBN 13 : 9780817639242
Total Pages : 0 pages
Book Rating : 4.6/5 (392 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences written by Alexander I. Saichev and published by Birkhäuser. This book was released on 1996-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive exposition on analytic methods for solving science and engineering problems, written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.

Distributions in the Physical and Engineering Sciences

Author : Aleksandr I. Saichev
Publisher :
ISBN 13 : 9781461241591
Total Pages : 360 pages
Book Rating : 4.2/5 (415 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences by : Aleksandr I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences written by Aleksandr I. Saichev and published by . This book was released on 1997 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Two Special Continuous Distributions

Author : John Stephen Metz
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (244 download)

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Book Synopsis Two Special Continuous Distributions by : John Stephen Metz

Download or read book Two Special Continuous Distributions written by John Stephen Metz and published by . This book was released on 1967 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A New Continuous Distribution and Two New Families of Distributions Based on the Exponential

Author : Guillermina Jasso
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (778 download)

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Book Synopsis A New Continuous Distribution and Two New Families of Distributions Based on the Exponential by : Guillermina Jasso

Download or read book A New Continuous Distribution and Two New Families of Distributions Based on the Exponential written by Guillermina Jasso and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A First Course in Complex Analysis

Author : Allan R. Willms
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1636393152
Total Pages : 237 pages
Book Rating : 4.6/5 (363 download)

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Book Synopsis A First Course in Complex Analysis by : Allan R. Willms

Download or read book A First Course in Complex Analysis written by Allan R. Willms and published by Morgan & Claypool Publishers. This book was released on 2022-04-20 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings.

Mathematical Problem Factories

Author : Andrew McEachern
Publisher : Springer Nature
ISBN 13 : 3031024362
Total Pages : 147 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Mathematical Problem Factories by : Andrew McEachern

Download or read book Mathematical Problem Factories written by Andrew McEachern and published by Springer Nature. This book was released on 2022-05-31 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: A problem factory consists of a traditional mathematical analysis of a type of problem that describes many, ideally all, ways that the problems of that type can be cast in a fashion that allows teachers or parents to generate problems for enrichment exercises, tests, and classwork. Some problem factories are easier than others for a teacher or parent to apply, so we also include banks of example problems for users. This text goes through the definition of a problem factory in detail and works through many examples of problem factories. It gives banks of questions generated using each of the examples of problem factories, both the easy ones and the hard ones. This text looks at sequence extension problems (what number comes next?), basic analytic geometry, problems on whole numbers, diagrammatic representations of systems of equations, domino tiling puzzles, and puzzles based on combinatorial graphs. The final chapter previews other possible problem factories.