Fitting Statistical Distributions

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Handbook of Fitting Statistical Distributions with R

Author : Zaven A. Karian
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781584887119
Total Pages : 1718 pages
Book Rating : 4.8/5 (871 download)

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Book Synopsis Handbook of Fitting Statistical Distributions with R by : Zaven A. Karian

Download or read book Handbook of Fitting Statistical Distributions with R written by Zaven A. Karian and published by Chapman and Hall/CRC. This book was released on 2010-10-01 with total page 1718 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the development of new fitting methods, their increased use in applications, and improved computer languages, the fitting of statistical distributions to data has come a long way since the introduction of the generalized lambda distribution (GLD) in 1969. Handbook of Fitting Statistical Distributions with R presents the latest and best methods, algorithms, and computations for fitting distributions to data. It also provides in-depth coverage of cutting-edge applications. The book begins with commentary by three GLD pioneers: John S. Ramberg, Bruce Schmeiser, and Pandu R. Tadikamalla. These leaders of the field give their perspectives on the development of the GLD. The book then covers GLD methodology and Johnson, kappa, and response modeling methodology fitting systems. It also describes recent additions to GLD and generalized bootstrap methods as well as a new approach to goodness-of-fit assessment. The final group of chapters explores real-world applications in agriculture, reliability estimation, hurricanes/typhoons/cyclones, hail storms, water systems, insurance and inventory management, and materials science. The applications in these chapters complement others in the book that deal with competitive bidding, medicine, biology, meteorology, bioassays, economics, quality management, engineering, control, and planning. New results in the field have generated a rich array of methods for practitioners. Making sense of this extensive growth, this comprehensive and authoritative handbook improves your understanding of the methodology and applications of fitting statistical distributions. The accompanying CD-ROM includes the R programs used for many of the computations.

Fitting Statistical Distributions

Author : Zaven A. Karian
Publisher : CRC Press
ISBN 13 : 1420038044
Total Pages : 458 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Fitting Statistical Distributions by : Zaven A. Karian

Download or read book Fitting Statistical Distributions written by Zaven A. Karian and published by CRC Press. This book was released on 2000-05-24 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the study of statistical modelling has made great strides in recent years, the number and variety of distributions to choose from continue to create problems. . Focusing on techniques used successfully across many fields, Fitting Statistical Distributions presents all of the relevant results related to the Generalized Lambda Distribution, the Generalized Bootstrap, and Monte Carlo simulation. It provides the tables, algorithms, and computer programs needed for fitting continuous probability distributions to data in a wide variety of circumstances-covering bivariate as well as univariate distributions, and including situations where moments do not exist.

Statistical Distributions

Author : Catherine Forbes
Publisher : John Wiley & Sons
ISBN 13 : 1118097823
Total Pages : 206 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Statistical Distributions by : Catherine Forbes

Download or read book Statistical Distributions written by Catherine Forbes and published by John Wiley & Sons. This book was released on 2011-03-21 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the trusted guide on commonly used statistical distributions Fully updated to reflect the latest developments on the topic, Statistical Distributions, Fourth Edition continues to serve as an authoritative guide on the application of statistical methods to research across various disciplines. The book provides a concise presentation of popular statistical distributions along with the necessary knowledge for their successful use in data modeling and analysis. Following a basic introduction, forty popular distributions are outlined in individual chapters that are complete with related facts and formulas. Reflecting the latest changes and trends in statistical distribution theory, the Fourth Edition features: A new chapter on queuing formulas that discusses standard formulas that often arise from simple queuing systems Methods for extending independent modeling schemes to the dependent case, covering techniques for generating complex distributions from simple distributions New coverage of conditional probability, including conditional expectations and joint and marginal distributions Commonly used tables associated with the normal (Gaussian), student-t, F and chi-square distributions Additional reviewing methods for the estimation of unknown parameters, such as the method of percentiles, the method of moments, maximum likelihood inference, and Bayesian inference Statistical Distributions, Fourth Edition is an excellent supplement for upper-undergraduate and graduate level courses on the topic. It is also a valuable reference for researchers and practitioners in the fields of engineering, economics, operations research, and the social sciences who conduct statistical analyses.

IPython Interactive Computing and Visualization Cookbook

Author : Cyrille Rossant
Publisher : Packt Publishing Ltd
ISBN 13 : 178328482X
Total Pages : 899 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis IPython Interactive Computing and Visualization Cookbook by : Cyrille Rossant

Download or read book IPython Interactive Computing and Visualization Cookbook written by Cyrille Rossant and published by Packt Publishing Ltd. This book was released on 2014-09-25 with total page 899 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended to anyone interested in numerical computing and data science: students, researchers, teachers, engineers, analysts, hobbyists... Basic knowledge of Python/NumPy is recommended. Some skills in mathematics will help you understand the theory behind the computational methods.

Handbook of Fitting Statistical Distributions with R

Author : Zaven A. Karian
Publisher : CRC Press
ISBN 13 : 1584887125
Total Pages : 1722 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Handbook of Fitting Statistical Distributions with R by : Zaven A. Karian

Download or read book Handbook of Fitting Statistical Distributions with R written by Zaven A. Karian and published by CRC Press. This book was released on 2016-04-19 with total page 1722 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the development of new fitting methods, their increased use in applications, and improved computer languages, the fitting of statistical distributions to data has come a long way since the introduction of the generalized lambda distribution (GLD) in 1969. Handbook of Fitting Statistical Distributions with R presents the latest and best methods

Probability Distributions Used in Reliability Engineering

Author : Andrew N O'Connor
Publisher : RIAC
ISBN 13 : 1933904062
Total Pages : 220 pages
Book Rating : 4.9/5 (339 download)

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Book Synopsis Probability Distributions Used in Reliability Engineering by : Andrew N O'Connor

Download or read book Probability Distributions Used in Reliability Engineering written by Andrew N O'Connor and published by RIAC. This book was released on 2011 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides details on 22 probability distributions. Each distribution section provides a graphical visualization and formulas for distribution parameters, along with distribution formulas. Common statistics such as moments and percentile formulas are followed by likelihood functions and in many cases the derivation of maximum likelihood estimates. Bayesian non-informative and conjugate priors are provided followed by a discussion on the distribution characteristics and applications in reliability engineering.

Normal and Student ́s t Distributions and Their Applications

Author : Mohammad Ahsanullah
Publisher : Springer Science & Business Media
ISBN 13 : 9462390614
Total Pages : 163 pages
Book Rating : 4.4/5 (623 download)

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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.

Continuous Univariate Distributions, Volume 2

Author : Norman L. Johnson
Publisher : John Wiley & Sons
ISBN 13 : 0471584940
Total Pages : 747 pages
Book Rating : 4.4/5 (715 download)

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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.

Goodness-of-Fit-Techniques

Author : RalphB. D'Agostino
Publisher : Routledge
ISBN 13 : 1351444565
Total Pages : 585 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Goodness-of-Fit-Techniques by : RalphB. D'Agostino

Download or read book Goodness-of-Fit-Techniques written by RalphB. D'Agostino and published by Routledge. This book was released on 2017-10-19 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conveniently grouping methods by techniques, such as chi-squared and empirical distributionfunction , and also collecting methods of testing for specific famous distributions, this usefulreference is the fust comprehensive.review of the extensive literature on the subject. It surveysthe leading methods of testing fit . .. provides tables to make the tests available . .. assessesthe comparative merits of different test procedures . .. and supplies numerical examples to aidin understanding these techniques.Goodness-of-Fit Techniques shows how to apply the techniques . .. emphasizes testing for thethree major distributions, normal, exponential, and uniform . .. discusses the handling of censoreddata .. . and contains over 650 bibliographic citations that cover the field.Illustrated with tables and drawings, this volume is an ideal reference for mathematical andapplied statisticians, and biostatisticians; professionals in applied science fields, including psychologists,biometricians , physicians, and quality control and reliability engineers; advancedundergraduate- and graduate-level courses on goodness-of-fit techniques; and professional seminarsand symposia on applied statistics, quality control, and reliability.

The Weibull Distribution

Author : Horst Rinne
Publisher : CRC Press
ISBN 13 : 1420087444
Total Pages : 812 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Weibull Distribution by : Horst Rinne

Download or read book The Weibull Distribution written by Horst Rinne and published by CRC Press. This book was released on 2008-11-20 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Most Comprehensive Book on the SubjectChronicles the Development of the Weibull Distribution in Statistical Theory and Applied StatisticsExploring one of the most important distributions in statistics, The Weibull Distribution: A Handbook focuses on its origin, statistical properties, and related distributions. The book also presents various ap

Loss Distributions

Author : Robert V. Hogg
Publisher : John Wiley & Sons
ISBN 13 : 0470317302
Total Pages : 254 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Loss Distributions by : Robert V. Hogg

Download or read book Loss Distributions written by Robert V. Hogg and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to the problem of fitting parametric probability distributions to data, this treatment uniquely unifies loss modeling in one book. Data sets used are related to the insurance industry, but can be applied to other distributions. Emphasis is on the distribution of single losses related to claims made against various types of insurance policies. Includes five sets of insurance data as examples.

Introduction to Probability

Author : David F. Anderson
Publisher : Cambridge University Press
ISBN 13 : 110824498X
Total Pages : 447 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Introduction to Probability by : David F. Anderson

Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Statistical Inference

Author : George Casella
Publisher : CRC Press
ISBN 13 : 1040024025
Total Pages : 1746 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Statistical Inference by : George Casella

Download or read book Statistical Inference written by George Casella and published by CRC Press. This book was released on 2024-05-23 with total page 1746 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic textbook builds theoretical statistics from the first principles of probability theory. Starting from the basics of probability, the authors develop the theory of statistical inference using techniques, definitions, and concepts that are statistical and natural extensions, and consequences, of previous concepts. It covers all topics from a standard inference course including: distributions, random variables, data reduction, point estimation, hypothesis testing, and interval estimation. Features The classic graduate-level textbook on statistical inference Develops elements of statistical theory from first principles of probability Written in a lucid style accessible to anyone with some background in calculus Covers all key topics of a standard course in inference Hundreds of examples throughout to aid understanding Each chapter includes an extensive set of graduated exercises Statistical Inference, Second Edition is primarily aimed at graduate students of statistics, but can be used by advanced undergraduate students majoring in statistics who have a solid mathematics background. It also stresses the more practical uses of statistical theory, being more concerned with understanding basic statistical concepts and deriving reasonable statistical procedures, while less focused on formal optimality considerations. This is a reprint of the second edition originally published by Cengage Learning, Inc. in 2001.

Principles of Random Variate Generation

Author : John Dagpunar
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Principles of Random Variate Generation by : John Dagpunar

Download or read book Principles of Random Variate Generation written by John Dagpunar and published by Oxford University Press, USA. This book was released on 1988 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date account of the theory and practice of generating random variates from probability distributions is presented in this accessible text. After a brief introduction to simulation, the author discusses the general principles for generating and testing uniform and non-uniform variates. These techniques are applied to univariate and multivariate distributions, Markov processes, and order statistics. Dr. Dagpunar has included Fortran 77 programs for generating the more familiar distributions and a set of graphical aids for the manual generation of variates. Competing methods are also compared and their advantages and disadvantages discussed. In addition, algorithms throughout the book enable readers to generate variates from selected distributions, making this an invaluable guide for statisticians, operational researchers, computer scientists, and postgraduates engaged in computer simulation.

Computational Genomics with R

Author : Altuna Akalin
Publisher : CRC Press
ISBN 13 : 1498781861
Total Pages : 463 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Computational Genomics with R by : Altuna Akalin

Download or read book Computational Genomics with R written by Altuna Akalin and published by CRC Press. This book was released on 2020-12-16 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Genomics with R provides a starting point for beginners in genomic data analysis and also guides more advanced practitioners to sophisticated data analysis techniques in genomics. The book covers topics from R programming, to machine learning and statistics, to the latest genomic data analysis techniques. The text provides accessible information and explanations, always with the genomics context in the background. This also contains practical and well-documented examples in R so readers can analyze their data by simply reusing the code presented. As the field of computational genomics is interdisciplinary, it requires different starting points for people with different backgrounds. For example, a biologist might skip sections on basic genome biology and start with R programming, whereas a computer scientist might want to start with genome biology. After reading: You will have the basics of R and be able to dive right into specialized uses of R for computational genomics such as using Bioconductor packages. You will be familiar with statistics, supervised and unsupervised learning techniques that are important in data modeling, and exploratory analysis of high-dimensional data. You will understand genomic intervals and operations on them that are used for tasks such as aligned read counting and genomic feature annotation. You will know the basics of processing and quality checking high-throughput sequencing data. You will be able to do sequence analysis, such as calculating GC content for parts of a genome or finding transcription factor binding sites. You will know about visualization techniques used in genomics, such as heatmaps, meta-gene plots, and genomic track visualization. You will be familiar with analysis of different high-throughput sequencing data sets, such as RNA-seq, ChIP-seq, and BS-seq. You will know basic techniques for integrating and interpreting multi-omics datasets. Altuna Akalin is a group leader and head of the Bioinformatics and Omics Data Science Platform at the Berlin Institute of Medical Systems Biology, Max Delbrück Center, Berlin. He has been developing computational methods for analyzing and integrating large-scale genomics data sets since 2002. He has published an extensive body of work in this area. The framework for this book grew out of the yearly computational genomics courses he has been organizing and teaching since 2015.

Simplified Techniques for Fitting Frequency Distributions to Hydrologic Data

Author : James L. McGuinness
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Simplified Techniques for Fitting Frequency Distributions to Hydrologic Data by : James L. McGuinness

Download or read book Simplified Techniques for Fitting Frequency Distributions to Hydrologic Data written by James L. McGuinness and published by . This book was released on 1964 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Distributions for Modeling Location, Scale, and Shape

Author : Robert A. Rigby
Publisher : CRC Press
ISBN 13 : 1000701182
Total Pages : 544 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Distributions for Modeling Location, Scale, and Shape by : Robert A. Rigby

Download or read book Distributions for Modeling Location, Scale, and Shape written by Robert A. Rigby and published by CRC Press. This book was released on 2019-10-08 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about statistical distributions, their properties, and their application to modelling the dependence of the location, scale, and shape of the distribution of a response variable on explanatory variables. It will be especially useful to applied statisticians and data scientists in a wide range of application areas, and also to those interested in the theoretical properties of distributions. This book follows the earlier book ‘Flexible Regression and Smoothing: Using GAMLSS in R’, [Stasinopoulos et al., 2017], which focused on the GAMLSS model and software. GAMLSS (the Generalized Additive Model for Location, Scale, and Shape, [Rigby and Stasinopoulos, 2005]), is a regression framework in which the response variable can have any parametric distribution and all the distribution parameters can be modelled as linear or smooth functions of explanatory variables. The current book focuses on distributions and their application. Key features: Describes over 100 distributions, (implemented in the GAMLSS packages in R), including continuous, discrete and mixed distributions. Comprehensive summary tables of the properties of the distributions. Discusses properties of distributions, including skewness, kurtosis, robustness and an important classification of tail heaviness. Includes mixed distributions which are continuous distributions with additional specific values with point probabilities. Includes many real data examples, with R code integrated in the text for ease of understanding and replication. Supplemented by the gamlss website. This book will be useful for applied statisticians and data scientists in selecting a distribution for a univariate response variable and modelling its dependence on explanatory variables, and to those interested in the properties of distributions.