Statistical Distributions

Author : Catherine Forbes,Merran Evans,Nicholas Hastings,Brian Peacock
Publisher : John Wiley & Sons
Page : 206 pages
File Size : 42,5 Mb
Release : 2011-03-21
Category : Mathematics
ISBN : 9781118097823

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Statistical Distributions by Catherine Forbes,Merran Evans,Nicholas Hastings,Brian Peacock Pdf

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.

Author : Narayanaswamy Balakrishnan,V. B. Nevzorov
Publisher : John Wiley & Sons
Page : 322 pages
File Size : 51,8 Mb
Release : 2004-12-04
Category : Mathematics
ISBN : 9780471722212

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A Primer on Statistical Distributions by Narayanaswamy Balakrishnan,V. B. Nevzorov Pdf

Designed as an introduction to statistical distribution theory. * Includes a first chapter on basic notations and definitions that are essential to working with distributions. * Remaining chapters are divided into three parts: Discrete Distributions, Continuous Distributions, and Multivariate Distributions. * Exercises are incorporated throughout the text in order to enhance understanding of materials just taught.

Author : K. Krishnamoorthy
Publisher : CRC Press
Page : 423 pages
File Size : 41,8 Mb
Release : 2016-01-05
Category : Mathematics
ISBN : 9781498741507

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Handbook of Statistical Distributions with Applications by K. Krishnamoorthy Pdf

Easy-to-Use Reference and Software for Statistical Modeling and TestingHandbook of Statistical Distributions with Applications, Second Edition provides quick access to common and specialized probability distributions for modeling practical problems and performing statistical calculations. Along with many new examples and results, this edition inclu

Author : Nick T. Thomopoulos
Publisher : Springer
Page : 172 pages
File Size : 46,6 Mb
Release : 2017-10-10
Category : Mathematics
ISBN : 9783319651125

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Statistical Distributions by Nick T. Thomopoulos Pdf

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.

Author : Karl V. Bury
Publisher : Cambridge University Press
Page : 386 pages
File Size : 55,7 Mb
Release : 1999-01-13
Category : Mathematics
ISBN : 0521635063

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Statistical Distributions in Engineering by Karl V. Bury Pdf

This 1999 book presents single-variable statistical distributions useful in solving practical problems in a wide range of engineering contexts.

Author : Ganapati P. Patil,S. Kotz,J.K. Ord
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 53,7 Mb
Release : 1975-05-31
Category : Mathematics
ISBN : 9027706077

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A Modern Course on Statistical Distributions in Scientific Work by Ganapati P. Patil,S. Kotz,J.K. Ord Pdf

These three volumes constitute the edited Proceedings of the NATO Advanced Study Institute on Statistical Distributions in Scientific Work held at the University of Calgary from July 29 to August 10, 1974. The general title of the volumes is "Statistical Distributions in Scientific Work". The individual volumes are: Volume 1 - Models and Structures; Volume 2 - Model Building and Model Selection; and Volume 3 - Characterizations and Applications. These correspond to the three advanced seminars of the Institute devoted to the respective subject areas. The planned activities of the Institute consisted of main lectures and expositions, seminar lectures and study group dis cussions, tutorials and individual study. The activities included meetings of editorial committees to discuss editorial matters for these proceedings which consist of contributions that have gone through the usual refereeing process. A special session was organized to consider the potential of introducing a course on statistical distributions in scientific modeling in the curriculum of statistics and quantitative studies. This session is reported in Volume 2. The overall perspective for the Institute is provided by the Institute Director, Professor G. P. Patil, in his inaugural address which appears in Volume 1. The Linnik Memorial Inaugural Lecture given by Professor C. R. Rao for the Characterizations Seminar is included in Volume 3.

Author : Zaven A. Karian,Edward J. Dudewicz
Publisher : CRC Press
Page : 438 pages
File Size : 45,6 Mb
Release : 2000-05-24
Category : Mathematics
ISBN : 9781420038040

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Fitting Statistical Distributions by Zaven A. Karian,Edward J. Dudewicz Pdf

Throughout the physical and social sciences, researchers face the challenge of fitting statistical distributions to their data. Although the study of statistical modelling has made great strides in recent years, the number and variety of distributions to choose from-all with their own formulas, tables, diagrams, and general properties-continue to create problems. For a specific application, which of the dozens of distributions should one use? What if none of them fit well? Fitting Statistical Distributions helps answer those questions. Focusing on techniques used successfully across many fields, the authors present all of the relevant results related to the Generalized Lambda Distribution (GLD), the Generalized Bootstrap (GB), and Monte Carlo simulation (MC). They provide 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. Regardless of your specific field-physical science, social science, or statistics, practitioner or theorist-Fitting Statistical Distributions is required reading. It includes wide-ranging applications illustrating the methods in practice and offers proofs of key results for those involved in theoretical development. Without it, you may be using obsolete methods, wasting time, and risking incorrect results.

Author : Charles Taillie,Ganapati P. Patil,Bruno A. Baldessari
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400985520

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Statistical Distributions in Scientific Work by Charles Taillie,Ganapati P. Patil,Bruno A. Baldessari Pdf

Proceedings of the NATO Advanced Study Institute, Trieste, Italy, July 10-August 1, 1980

Author : Zaven A. Karian,Edward J. Dudewicz
Publisher : CRC Press
Page : 1722 pages
File Size : 52,9 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781584887126

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Handbook of Fitting Statistical Distributions with R by Zaven A. Karian,Edward J. Dudewicz Pdf

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

Author : J. Richard Alldredge,Douglas D. Bolstad
Publisher : Unknown
Page : 68 pages
File Size : 50,7 Mb
Release : 1977
Category : Distribution (Probability theory)
ISBN : UOM:39015078516245

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GDIST: a Computer Code for Analysis of Statistical Distributions of Physical Data by J. Richard Alldredge,Douglas D. Bolstad Pdf

Author : M. Ahsanullah
Publisher : Trafford Publishing
Page : 268 pages
File Size : 52,6 Mb
Release : 2011-08-26
Category : Business & Economics
ISBN : 9781426966514

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Handbook on Univariate Statistical Distributions by M. Ahsanullah Pdf

Univariate statistical distributions, with their basic properties, are an important part of advance statistics. The "Handbook on Univariate Statistical Distributions" includes most of the univariate statistical distributions that are used in practice. Author M. Ahsanullah has presented most of the common univariate discrete and continuous statistical distributions with their basic properties. For each distribution, most of the common basic properties-such as distribution functions, moments, and generating functions-are provided for easy reference. This information is integral to understanding and using these distributions. The first chapter includes definitions and concepts that are needed to study the distributions and some mathematical functions that are used in other chapters. Successive chapters include distributions and their generalized forms with basic properties and relations with other distributions. In addition, order statistics and record values are discussed for some of the distributions. The "Handbook on Univariate Statistical Distributions, " an excellent reference for researchers and practitioners who conduct in-depth statistical analysis, is the definitive guide to understanding the vitally important statistical distributions, designed with upper level undergraduate and graduate students in mind.

Author : Siegfried Graf,Harald Luschgy
Publisher : Springer
Page : 238 pages
File Size : 47,6 Mb
Release : 2007-05-06
Category : Mathematics
ISBN : 9783540455776

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Foundations of Quantization for Probability Distributions by Siegfried Graf,Harald Luschgy Pdf

Due to the rapidly increasing need for methods of data compression, quantization has become a flourishing field in signal and image processing and information theory. The same techniques are also used in statistics (cluster analysis), pattern recognition, and operations research (optimal location of service centers). The book gives the first mathematically rigorous account of the fundamental theory underlying these applications. The emphasis is on the asymptotics of quantization errors for absolutely continuous and special classes of singular probabilities (surface measures, self-similar measures) presenting some new results for the first time. Written for researchers and graduate students in probability theory the monograph is of potential interest to all people working in the disciplines mentioned above.

Author : K. Krishnamoorthy
Publisher : CRC Press
Page : 371 pages
File Size : 42,6 Mb
Release : 2006-06-19
Category : Mathematics
ISBN : 9781420011371

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Handbook of Statistical Distributions with Applications by K. Krishnamoorthy Pdf

In the area of applied statistics, scientists use statistical distributions to model a wide range of practical problems, from modeling the size grade distribution of onions to modeling global positioning data. To apply these probability models successfully, practitioners and researchers must have a thorough understanding of the theory as well as a

Author : G. Dall'aglio,S. Kotz,G. Salinetti
Publisher : Springer Science & Business Media
Page : 243 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401134668

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Advances in Probability Distributions with Given Marginals by G. Dall'aglio,S. Kotz,G. Salinetti Pdf

'Et moi - ... - si j'avait su comment en rcvenir. One service mathematics has rendered the je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canistcr labelled 'discarded non sense'. The scries is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Author : Prem C. Consul,Felix Famoye
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 40,8 Mb
Release : 2006-07-25
Category : Mathematics
ISBN : 9780817644772

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Lagrangian Probability Distributions by Prem C. Consul,Felix Famoye Pdf

Fills a gap in book literature Examines many new Lagrangian probability distributions and their applications to a variety of different fields Presents background mathematical and statistical formulas for easy reference Detailed bibliography and index Exercises in many chapters May be used as a reference text or in graduate courses and seminars on Distribution Theory and Lagrangian Distributions