Nabendu Pal

Handbook of Exponential and Related Distributions for Engineers and Scientists

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

Estimating the normal dispersion matrix and the precision matrix from a decision-theoretic point of view: a review

AbstractBased on a pxp Wishart matrix S ∼ Wp(Ω|n) and an independent vector

A sequence of improvements over the James-Stein estimator

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Assessing the Deepwater Horizon oil spill impact on marine mammal population through acoustics: Endangered sperm whales

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Population Estimates of Hyla cinerea (Schneider) (Green Tree Frog) in an Urban Environment

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A Note on Improved Approximation of the Binomial Distribution by the Skew-Normal Distribution

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Estimation of a normal variance—A critical review

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ON ORDER RESTRICTED LOCATION PARAMETERS OF TWO EXPONENTIAL DISTRIBUTIONS

, various point estimation methods are discussed in a decision-theoretic framework to estimate the dispersion matrix Ω and the precision matrix ∑−1. In this article we try to review the rich and vast literature on the above mentioned problems which has been developed in the last three decades.