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Handbook of Exponential and Related Distributions for Engineers and Scientists

Handbook of Exponential and Related Distributions for Engineers and Scientists by Nabendu Pal
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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
CRC Press; November 2005
512 pages; ISBN 9781498720236
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Title: Handbook of Exponential and Related Distributions for Engineers and Scientists
Author: Nabendu Pal; Chun Jin; Wooi K. Lim
 
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