Statistical distributions

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. 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 --book Jacket. Introduction -- Terms And Symbols -- General Variate Relationships -- Multivariate Distributions -- Stochastic Modeling -- Parameter Inference -- Bernoulli Distribution -- Beta Distribution -- Binomial Distribution -- Cauchy Distribution -- Chi-squared Distribution -- Chi-squared (noncentral) Distribution -- Dirichlet Distribution -- Empirical Distribution Function -- Erlang Distribution -- Error Distribution -- Exponential Distribution -- Exponential Family -- Extreme Value (gumbel) Distribution -- F (variance Ratio) Or Fisher-snedecor Distribution -- F (noncentral) Distribution -- Gamma Distribution -- Geometric Distribution -- Hypergeometric Distribution -- Inverse Gaussian (wald) Distribution -- Laplace Distribution -- Logarithmic Series Distribution -- Logistic Distribution -- Lognormal Distribution -- Multinomial Distribution -- Multivariate Normal (multinormal) Distribution -- Negative Binomial Distribution -- Normal (gaussian) Distribution -- Pareto Distribution -- Poisson Distribution -- Power Function Distribution -- Power Series (discrete) Distribution -- Queuing Formulas -- Rayleigh Distribution -- Rectangular (uniform) Continuous Distribution -- Rectangular (uniform) Discrete Distribution -- Student's T Distribution -- Student's T (noncentral) Distribution -- Triangular Distribution -- Von Mises Distribution -- Weibull Distribution -- Wishart (central) Distribution -- Statistical Tables. Rev. Ed. Of: Statistical Distributions. 3rd Ed. / Merran Evans, Nicholas Hastings, J. Brian Peacock. 2000. Includes Bibliographical References.