Handbook of Exponential and Related Distributions for Engineers and Scientists

ISBN: 9781584881384 出版年：2005 页码：370 Pal, Nabendu Jin, Chun Lim, Wooi K Chapman and Hall/CRC

Acronyms Notations List of Figures List of Tables GENERAL STATISTICAL THEORY Basic Concepts The System of Real Numbers Some Useful Algebraic Results Set Theory Introduction to Probability Theory Random Variables Joint Probability Distributions Moment Generating Function Order Statistics Characteristic Function Some Common Probability Distributions Discrete Distributions Continuous Distributions Some Limit Theorems Concepts of Statistical Inference Introduction Sufficiency and Completeness Methods of Estimation Methods of Evaluating Estimators Elements of Hypothesis Testing Set (or Interval) Estimation Elements of Decision Theory Introduction Optimality Criteria Loss Functions Admissible, Minimax and Bayes Rules Computational Aspects Preliminaries Numerical Integration Monte-Carlo Simulation Bootstrap Method of Resampling Testing and Interval Estimation Based on Computations EXPONENTIAL AND OTHER POSITIVELY SKEWED DISTRIBUTIONS WITH APPLICATIONS Exponential Distribution Preliminaries Characterization of Exponential Distribution Estimation of Parameter(s) Goodness of Fit Tests for Exponential Distributions Gamma Distribution Preliminaries Characterization of Gamma Distribution Estimation of Parameters Goodness of fit Tests for Gamma Distribution Weibull Distribution Preliminaries Characterization of Weibull Distribution Estimation of Parameters Goodness of Fit Tests for Weibull Distribution Extreme Value Distributions Preliminaries Characterizations of Extreme Value Distributions Estimation of Parameters Goodness of Fit Tests for Extreme Value Distributions System Reliability Preliminaries Single Component Systems Reliability of a Series System with Componentwise Data Reliability of a Parallel System with Componentwise Data Bibliography Selected Statistical Tables Index