Handbook of Statistical Distributions with Applications, Second Edition

Handbook of Statistical Distributions with Applications, Second Edition

by K. Krishnamoorthy

Hardcover(Revised)

$105.00
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Product Details

ISBN-13: 9781498741491
Publisher: Taylor & Francis
Publication date: 10/23/2015
Series: Statistics: A Series of Textbooks and Monographs Series
Edition description: Revised
Pages: 424
Product dimensions: 6.12(w) x 9.25(h) x 1.00(d)

About the Author

Kalimuthu Krishnamoorthy, Ph.D., is a professor of statistics and SLEMCO Professor of Science at the University of Louisiana at Lafayette. He is an elected fellow of the American Statistical Association and an associate editor of Communications in Statistics. He has published more than 100 articles relating to small sample inference, multivariate analysis, fiducial inference, and statistical methods for exposure data analysis.

Table of Contents

STATCALC
Introduction
Contents of StatCalc

PRELIMINARIES
Random Variables and Expectations
Moments and Other Functions
Some Functions Relevant to Reliability
Model Fitting
Methods of Estimation
Inference
Pivotal-Based Methods for Location-Scale Families
Method of Variance Estimate Recovery
Modified Normal-Based Approximation
Random Number Generation
Some Special Functions

DISCRETE UNIFORM DISTRIBUTION
Description
Moments

BINOMIAL DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Proportion
Prediction Intervals
Tolerance Intervals
Tests for the Difference between Two Proportions
Two-Sample Confidence Intervals for Proportions
Confidence Intervals for a Linear Combination of Proportions
Properties and Results
Random Number Generation
Computation of Probabilities

HYPERGEOMETRIC DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Point Estimation
Test for the Proportion and Power Calculation
Confidence Interval and Sample Size Calculation
A Test for Comparing Two Proportions
Properties and Results
Random Number Generation
Computation of Probabilities

POISSON DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Model Fitting with Examples
One-Sample Inference
Test for the Mean
Confidence Intervals for the Mean
Prediction Intervals
Tolerance Intervals
Tests for Comparing Two Means and Power Calculation
Confidence Intervals for the Ratio of Two Means
Confidence Intervals for the Difference between Two Means
Inference for a Weighted Sum of Poisson Means
Properties and Results
Random Number Generation
Computation of Probabilities

GEOMETRIC DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Properties and Results
Random Number Generation

NEGATIVE BINOMIAL DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Point Estimation
A Test for the Proportion
Confidence Intervals for the Proportion
Properties and Results
Random Number Generation
A Computational Method for Probabilities

LOGARITHMIC SERIES DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Inferences
Properties and Results
Random Number Generation
A Computational Algorithm for Probabilities

CONTINUOUS UNIFORM DISTRIBUTION
Description
Moments
Inferences
Properties and Results
Random Number Generation

NORMAL DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
One-Sample Inference
Two-Sample Inference
Tolerance Intervals
Properties and Results
Relation to Other Distributions
Random Number Generation
Computing the Distribution Function

CHI-SQUARE DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Applications
Properties and Results
Random Number Generation
Computing the Distribution Function

F DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Properties and Results
Random Number Generation
A Computational Method for Probabilities

STUDENT'S t DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Distribution of the Maximum of Several |t| Variables
Properties and Results
Random Number Generation
Computation of the Distribution Function

EXPONENTIAL DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Inferences
Properties and Results
Random Number Generation

GAMMA DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Applications with Some Examples
Inferences
Properties and Results
Random Number Generation
A Computational Method for Probabilities

BETA DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Inferences
Applications with an Example
Properties and Results
Random Number Generation
Evaluating the Distribution Function

NONCENTRAL CHI-SQUARE DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Applications
Properties and Results
Random Number Generation
Evaluating the Distribution Function

NONCENTRAL F DISTRIBUTION
Description
Moments
Computing Table Values
Applications
Properties and Results
Random Number Generation
Evaluating the Distribution Function

NONCENTRAL t DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Applications
Properties and Results
Random Number Generation
Evaluating the Distribution Function

LAPLACE DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Inferences
Applications
Relation to Other Distributions
Random Number Generation

LOGISTIC DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Maximum Likelihood Estimators
Applications
Properties and Results
Random Number Generation

LOGNORMAL DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Maximum Likelihood Estimators
Confidence Interval and Test for the Mean
Inferences for the Difference between Two Means
Inferences for the Ratio of Two Means
Applications
Properties and Results
Random Number Generation
Calculation of Probabilities and Percentiles

PARETO DISTRIBUTION
Description
Moments
Computing Table Values
Inferences
Applications
Properties and Results
Random Number Generation
Computation of Probabilities and Percentiles

WEIBULL DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Applications
Point Estimation
Properties and Results
Random Number Generation

EXTREME VALUE DISTRIBUTION
Description
Moments
Computing Table Values
Maximum Likelihood Estimators
Applications
Properties and Results
Random Number Generation

CAUCHY DISTRIBUTION
Description
Moments
Computing Table Values
Inference
Applications
Properties and Results

INVERSE GAUSSIAN DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
One-Sample Inference
Two-Sample Inference
Random Number Generation

RAYLEIGH DISTRIBUTION
Description
Moments
Probabilities, Percentiles, and Moments
Maximum Likelihood Estimator
Relation to Other Distributions
Random Number Generation

BIVARIATE NORMAL DISTRIBUTION
Description
Computing Probabilities
Inferences on Correlation Coefficients
Inferences on the Difference between Two Correlation Coefficients
Test and Confidence Interval for Variances
Some Properties
Random Number Generation
A Computational Algorithm for Probabilities

SOME NONPARAMETRIC METHODS
Distribution of Runs
Sign Test and Confidence Interval for the Median
Wilcoxon Signed-Rank Test and Mann-Whitney U Statistic
Wilcoxon Rank-Sum Test
Quantile Estimation and Nonparametric Tolerance Interval

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