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Book Synopsis Folded Normal II by : Regina C. Elandt
Download or read book Folded Normal II written by Regina C. Elandt and published by . This book was released on 1961 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general formula for the rth moment of the folded normal distribution is obtained, and formulae for the first four non-central and central moments are calculated explicitly. To illustrate the mode of convergence of teh folded normal to the normal distribution, as [mu]/ơ = [theta] increases, the shape factors ßf1 and ßf2 were calculated and the relationship between them represented graphically. Two methods, one using first and second moments (Method I) and the other using second and fourth moments (Method II) of estimating the parameters of [mu] and ơ of the parent normal distribution are presented and their standard errors calculated. The accuracy of both methods, for various values of [theta], are discussed.
Book Synopsis The Folded Normal Distribution by : F. C. Leone
Download or read book The Folded Normal Distribution written by F. C. Leone and published by . This book was released on 1961 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider first the folded normal probability density function, especially as it relates to the original normal population from which it came. We present some maximum likelihood estimates, followed by other estimating procedures which are simpler to handle...Finally, an example of real camber data is presented with the appropriate estimation of the theoretical distributions. Some remarks of the folded normal and other work being done on this conclude the paper.
Book Synopsis Normal and Student ́s t Distributions and Their Applications by : Mohammad Ahsanullah
Download or read book Normal and Student ́s t Distributions and Their Applications written by Mohammad Ahsanullah and published by Springer Science & Business Media. This book was released on 2014-02-07 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most important properties of normal and Student t-distributions are presented. A number of applications of these properties are demonstrated. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented. The materials will be useful to the advanced undergraduate and graduate students and practitioners in the various fields of science and engineering.
Book Synopsis The Folded Normal Distribution, Iii. Accuracy of Estimation by Maximum Likelihood by : N. L. Johnson
Download or read book The Folded Normal Distribution, Iii. Accuracy of Estimation by Maximum Likelihood written by N. L. Johnson and published by . This book was released on 1961 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formulae for the asymptotic variances and covariance of the maximum likelihood estimators of the parameters of the folded normal distribution are obtained. Numerical comparisons with the asymptotic variances of moments estimators are made. (Author).
Book Synopsis An Introductory Handbook of Bayesian Thinking by : Stephen C. Loftus
Download or read book An Introductory Handbook of Bayesian Thinking written by Stephen C. Loftus and published by Elsevier. This book was released on 2024-04-17 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introductory Handbook of Bayesian Thinking brings Bayesian thinking and methods to a wide audience beyond the mathematical sciences. Appropriate for students with some background in calculus and introductory statistics, particularly for nonstatisticians with a sufficient mathematical background, the text provides a gentle introduction to Bayesian ideas with a wide array of supporting examples from a variety of fields. - Utilizes real datasets to illustrate Bayesian models and their results - Guides readers on coding Bayesian models using the statistical software R, including a helpful introduction and supporting online resource - Appropriate for an undergraduate statistics course, as well as for non-statisticians with sufficient mathematical background (integral and differential Calculus and an introductory Statistics course) - Covers any more advanced topics which readers may not be familiar with, such as the basic idea of vectors and matrices
Book Synopsis Handbook of Multivariate Process Capability Indices by : Ashis Kumar Chakraborty
Download or read book Handbook of Multivariate Process Capability Indices written by Ashis Kumar Chakraborty and published by CRC Press. This book was released on 2021-01-20 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a single-valued assessment of the performance of a process is often one of the greatest challenges for a quality professional. Process Capability Indices (PCIs) precisely do this job. For processes having a single measurable quality characteristic, there is an ample number of PCIs, defined in literature. The situation worsens for multivariate processes, i.e., where there is more than one correlated quality characteristic. Since in most situations quality professionals face multiple quality characteristics to be controlled through a process, Multivariate Process Capability Indices (MPCIs) become the order of the day. However, there is no book which addresses and explains different MPCIs and their properties. The literature of Multivariate Process Capability Indices (MPCIs) is not well organized, in the sense that a thorough and systematic discussion on the various MPCIs is hardly available in the literature. Handbook of Multivariate Process Capability Indices provides an extensive study of the MPCIs defined for various types of specification regions. This book is intended to help quality professionals to understand which MPCI should be used and in what situation. For researchers in this field, the book provides a thorough discussion about each of the MPCIs developed to date, along with their statistical and analytical properties. Also, real life examples are provided for almost all the MPCIs discussed in the book. This helps both the researchers and the quality professionals alike to have a better understanding of the MPCIs, which otherwise become difficult to understand, since there is more than one quality characteristic to be controlled at a time. Features: A complete guide for quality professionals on the usage of different MPCIs. A step by step discussion on multivariate process capability analysis, starting from a brief discussion on univariate indices. A single source for all kinds of MPCIs developed so far. Comprehensive analysis of the MPCIs, including analysis of real-life data. References provided at the end of each chapter encompass the entire literature available on the respective topic. Interpretation of the MPCIs and development of threshold values of many MPCIs are also included. This reference book is aimed at the post graduate students in Industrial Statistics. It will also serve researchers working in the field of Industrial Statistics, as well as practitioners requiring thorough guidance regarding selection of an appropriate MPCI suitable for the problem at hand.
Book Synopsis Sensitivity Analysis in Linear Regression by : Samprit Chatterjee
Download or read book Sensitivity Analysis in Linear Regression written by Samprit Chatterjee and published by John Wiley & Sons. This book was released on 1988-03-31 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treats linear regression diagnostics as a tool for application of linear regression models to real-life data. Presentation makes extensive use of examples to illustrate theory. Assesses the effect of measurement errors on the estimated coefficients, which is not accounted for in a standard least squares estimate but is important where regression coefficients are used to apportion effects due to different variables. Also assesses qualitatively and numerically the robustness of the regression fit.
Book Synopsis Statistical Properties of the Generalized Inverse Gaussian Distribution by : B. Jorgensen
Download or read book Statistical Properties of the Generalized Inverse Gaussian Distribution written by B. Jorgensen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1978 the idea of studying the generalized inverse Gaussian distribution was proposed to me by Professor Ole Barndorff-Nielsen, who had come across the distribution in the study of the socalled hyperbolic distributions where it emerged in connection with the representation of the hyperbolic distributions as mixtures of normal distributions. The statistical properties of the generalized inverse Gaussian distribution were at that time virtually unde veloped, but it turned out that the distribution has some nice properties, and models many sets of data satisfactorily. This work contains an account of the statistical properties of the distribu tion as far as they are developed at present. The work was done at the Department of Theoretical Statistics, Aarhus University, mostly in 1979, and was partial fulfilment to wards my M. Sc. degree. I wish to convey my warm thanks to Ole Barn dorff-Nielsen and Preben BI~sild for their advice and for comments on earlier versions of the manuscript and to Jette Hamborg for her skilful typing.
Book Synopsis Multiple Decision Procedures by : Shanti S. Gupta
Download or read book Multiple Decision Procedures written by Shanti S. Gupta and published by SIAM. This book was released on 1979-01-01 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations provides an encyclopedic coverage of the literature in the area of ranking and selection procedures, summarizing and surveying in a unified manner a majority of more than 600 main references in the bibliography. It also deals with related problems, such as the estimation of unknown ordered parameters. A separate chapter is devoted to information about several tables available in the literature for carrying out various specific procedures. Examples are given in another chapter illustrating applications of these procedures in various practical contexts. Although several books have appeared to date in this area, many of them deal with specific aspects of the field and a limited number of topics. This book contains substantial material not discussed in other books. Audience: this book can serve as a text for a graduate topics course in ranking and selection (as it has done at Purdue University for more than 30 years). It can also serve as a reference for researchers and practitioners in fields such as agriculture, industry, engineering, and behavioral sciences.
Book Synopsis Continuous Univariate Distributions, Volume 2 by : Norman L. Johnson
Download or read book Continuous Univariate Distributions, Volume 2 written by Norman L. Johnson and published by John Wiley & Sons. This book was released on 1995-05-08 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive reference for statistical distributions Continuous Univariate Distributions, Volume 2 provides in-depth reference for anyone who applies statistical distributions in fields including engineering, business, economics, and the sciences. Covering a range of distributions, both common and uncommon, this book includes guidance toward extreme value, logistics, Laplace, beta, rectangular, noncentral distributions and more. Each distribution is presented individually for ease of reference, with clear explanations of methods of inference, tolerance limits, applications, characterizations, and other important aspects, including reference to other related distributions.
Book Synopsis Hyperbole and a Half by : Allie Brosh
Download or read book Hyperbole and a Half written by Allie Brosh and published by Simon and Schuster. This book was released on 2013-10-29 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: #1 New York Times Bestseller “Funny and smart as hell” (Bill Gates), Allie Brosh’s Hyperbole and a Half showcases her unique voice, leaping wit, and her ability to capture complex emotions with deceptively simple illustrations. FROM THE PUBLISHER: Every time Allie Brosh posts something new on her hugely popular blog Hyperbole and a Half the internet rejoices. This full-color, beautifully illustrated edition features more than fifty percent new content, with ten never-before-seen essays and one wholly revised and expanded piece as well as classics from the website like, “The God of Cake,” “Dogs Don’t Understand Basic Concepts Like Moving,” and her astonishing, “Adventures in Depression,” and “Depression Part Two,” which have been hailed as some of the most insightful meditations on the disease ever written. Brosh’s debut marks the launch of a major new American humorist who will surely make even the biggest scrooge or snob laugh. We dare you not to. FROM THE AUTHOR: This is a book I wrote. Because I wrote it, I had to figure out what to put on the back cover to explain what it is. I tried to write a long, third-person summary that would imply how great the book is and also sound vaguely authoritative—like maybe someone who isn’t me wrote it—but I soon discovered that I’m not sneaky enough to pull it off convincingly. So I decided to just make a list of things that are in the book: Pictures Words Stories about things that happened to me Stories about things that happened to other people because of me Eight billion dollars* Stories about dogs The secret to eternal happiness* *These are lies. Perhaps I have underestimated my sneakiness!
Book Synopsis Continuous Multivariate Distributions, Volume 1 by : Samuel Kotz
Download or read book Continuous Multivariate Distributions, Volume 1 written by Samuel Kotz and published by John Wiley & Sons. This book was released on 2004-04-05 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous Multivariate Distributions, Volume 1, Second Edition provides a remarkably comprehensive, self-contained resource for this critical statistical area. It covers all significant advances that have occurred in the field over the past quarter century in the theory, methodology, inferential procedures, computational and simulational aspects, and applications of continuous multivariate distributions. In-depth coverage includes MV systems of distributions, MV normal, MV exponential, MV extreme value, MV beta, MV gamma, MV logistic, MV Liouville, and MV Pareto distributions, as well as MV natural exponential families, which have grown immensely since the 1970s. Each distribution is presented in its own chapter along with descriptions of real-world applications gleaned from the current literature on continuous multivariate distributions and their applications.
Book Synopsis Bayesian Hierarchical Models by : Peter D. Congdon
Download or read book Bayesian Hierarchical Models written by Peter D. Congdon and published by CRC Press. This book was released on 2019-09-16 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intermediate-level treatment of Bayesian hierarchical models and their applications, this book demonstrates the advantages of a Bayesian approach to data sets involving inferences for collections of related units or variables, and in methods where parameters can be treated as random collections. Through illustrative data analysis and attention to statistical computing, this book facilitates practical implementation of Bayesian hierarchical methods. The new edition is a revision of the book Applied Bayesian Hierarchical Methods. It maintains a focus on applied modelling and data analysis, but now using entirely R-based Bayesian computing options. It has been updated with a new chapter on regression for causal effects, and one on computing options and strategies. This latter chapter is particularly important, due to recent advances in Bayesian computing and estimation, including the development of rjags and rstan. It also features updates throughout with new examples. The examples exploit and illustrate the broader advantages of the R computing environment, while allowing readers to explore alternative likelihood assumptions, regression structures, and assumptions on prior densities. Features: Provides a comprehensive and accessible overview of applied Bayesian hierarchical modelling Includes many real data examples to illustrate different modelling topics R code (based on rjags, jagsUI, R2OpenBUGS, and rstan) is integrated into the book, emphasizing implementation Software options and coding principles are introduced in new chapter on computing Programs and data sets available on the book’s website
Book Synopsis Non-standard Parametric Statistical Inference by : Russell Cheng
Download or read book Non-standard Parametric Statistical Inference written by Russell Cheng and published by Oxford University Press. This book was released on 2017 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph gives a unified view of non-standard estimation problems. It provides an overall mathematical framework, but also draws together and studies in detail a large number of practical problems, previously only treated separately, offering solution methods and numerical procedures for each.
Book Synopsis Benchmarking for Performance Evaluation by : Subhash C. Ray
Download or read book Benchmarking for Performance Evaluation written by Subhash C. Ray and published by Springer. This book was released on 2015-03-25 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed introduction to the theoretical and methodological foundations of production efficiency analysis using benchmarking. Two of the more popular methods of efficiency evaluation are Stochastic Frontier Analysis (SFA) and Data Envelopment Analysis (DEA), both of which are based on the concept of a production possibility set and its frontier. Depending on the assumed objectives of the decision-making unit, a Production, Cost, or Profit Frontier is constructed from observed data on input and output quantities and prices. While SFA uses different maximum likelihood estimation techniques to estimate a parametric frontier, DEA relies on mathematical programming to create a nonparametric frontier. Yet another alternative is the Convex Nonparametric Frontier, which is based on the assumed convexity of the production possibility set and creates a piecewise linear frontier consisting of a number of tangent hyper planes. Three of the papers in this volume provide a detailed and relatively easy to follow exposition of the underlying theory from neoclassical production economics and offer step-by-step instructions on the appropriate model to apply in different contexts and how to implement them. Of particular appeal are the instructions on (i) how to write the codes for different SFA models on STATA, (ii) how to write a VBA Macro for repetitive solution of the DEA problem for each production unit on Excel Solver, and (iii) how to write the codes for the Nonparametric Convex Frontier estimation. The three other papers in the volume are primarily theoretical and will be of interest to PhD students and researchers hoping to make methodological and conceptual contributions to the field of nonparametric efficiency analysis.
Book Synopsis Introduction to Probability, Second Edition by : Joseph K. Blitzstein
Download or read book Introduction to Probability, Second Edition written by Joseph K. Blitzstein and published by CRC Press. This book was released on 2019-02-08 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment. The second edition adds many new examples, exercises, and explanations, to deepen understanding of the ideas, clarify subtle concepts, and respond to feedback from many students and readers. New supplementary online resources have been developed, including animations and interactive visualizations, and the book has been updated to dovetail with these resources. Supplementary material is available on Joseph Blitzstein’s website www. stat110.net. The supplements include: Solutions to selected exercises Additional practice problems Handouts including review material and sample exams Animations and interactive visualizations created in connection with the edX online version of Stat 110. Links to lecture videos available on ITunes U and YouTube There is also a complete instructor's solutions manual available to instructors who require the book for a course.
Book Synopsis Proceedings of the 8th International Conference on Fracture, Fatigue and Wear by : Magd Abdel Wahab
Download or read book Proceedings of the 8th International Conference on Fracture, Fatigue and Wear written by Magd Abdel Wahab and published by Springer Nature. This book was released on 2021-01-12 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings gather a selection of peer-reviewed papers presented at the 8th International Conference on Fracture Fatigue and Wear (FFW 2020), held as a virtual conference on 26–27 August 2020. The contributions, prepared by international scientists and engineers, cover the latest advances in and innovative applications of fracture mechanics, fatigue of materials, tribology, and wear of materials. In addition, they discuss industrial applications and cover theoretical and analytical methods, numerical simulations and experimental techniques. The book is intended for academics, including graduate students and researchers, as well as industrial practitioners working in the areas of fracture fatigue and wear.
