Ebook: Statistical Distributions in Scientific Work: Volume 4 — Models, Structures, and Characterizations, Proceedings of the NATO Advanced Study Institute held at the Università degli Studi di Trieste, Trieste, Italy, July 10 – August 1, 1980

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Content:
Front Matter....Pages i-xxii
Statistical Predictive Distributions....Pages 1-17
Hyperbolic Distributions and Ramifications: Contributions to Theory and Application....Pages 19-44
Multivariate Distributions of Hyperbolic Type....Pages 45-66
The Multimodal Exponential Families of Statistical Catastrophe Theory....Pages 67-90
Regression Models for the Inverse Gaussian Distribution....Pages 91-97
A Note on the Inverse Gaussian Distribution....Pages 99-103
Some Properties of the Log-Laplace Distribution....Pages 105-110
Compound Distributions Relevant to Life Testing....Pages 111-124
Distributions Associated with Neutrality Properties for Random Proportions....Pages 125-136
The Independence of Size and Shape before and after Scale Change....Pages 137-145
Distributions on the Simplex for the Analysis of Neutrality....Pages 147-156
Chance Mechanisms for the Univariate Generalized Waring Distribution and Related Characterizations....Pages 157-171
On a New Family of Discrete Distributions....Pages 173-180
On the Stirling Distribution of the First Kind....Pages 181-187
On the Moments and Factorial Moments of a MPSD....Pages 189-195
On Bivariate Discrete Distributions Generated by Compounding....Pages 197-212
Bivariate Generalized Discrete Distributions and Bipartitional Polynomials....Pages 213-223
A Bivariate Hyper-Poisson Distribution....Pages 225-230
On the Multinomial Distributions Generated by Stochastic Matrices and Applications....Pages 231-242
Distributions with Sufficient Statistics for Multivariate Location Parameter and Transformation Parameter....Pages 243-254
Analytic Distribution Functions....Pages 255-265
Some Recent Statistical Results for Infinitely Divisible Distributions....Pages 267-280
An Alternate Simpler Method of Evaluating the Multivariate Beta Function and an Inverse Laplace Transform Connected with Wishart Distribution....Pages 281-286
On a Theorem of Polya....Pages 287-292
Asymptotic Distributions of Functions of Eigenvalues....Pages 293-303
A Rejection Technique for the Generation of Random Variables with the Beta Distribution....Pages 305-312
Fast Methods for Generating Bivariate Discrete Random Variables....Pages 313-319
Frugal Methods of Generating Bivariate Discrete Random Variables....Pages 321-329
A Characterization of the Negative Multinomial Distribution....Pages 331-339
On the Rao-Rubin Characterization of the Poisson Distribution....Pages 341-347
On Some Characterizations of the Geometric Distribution....Pages 349-355
On Splitting Model and Related Characterizations of Some Statistical Distributions....Pages 357-363
Rao-Rubin Condition for a Certain Class of Continuous Damage Models....Pages 365-373
On Matrix-Variate Beta Type I Distribution and Related Characterization of Wishart Distribution....Pages 375-378
On the Relationship between the Conditional and Unconditional Distribution of a Random Variable....Pages 379-387
Some Bivariate Distributions of (X, Y) Where the Conditional Distribution of Y, Given X, is either Beta or Unit-Gamma....Pages 389-400
Some Relationships between the Logistic and the Exponential Distributions....Pages 401-409
Some Characterizations of the Exponential Distribution Based on Record Values....Pages 411-416
A Note on Srivastava’s Characterization of the Exponential Distribution Based on Record Values....Pages 417-418
On the Stochastic Equation X+Y=XY....Pages 419-431
Back Matter....Pages 447-455
On the Stability of Characterizations of Non-Normal Stable Distributions....Pages 433-446

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Content:
Front Matter....Pages i-xxii
Statistical Predictive Distributions....Pages 1-17
Hyperbolic Distributions and Ramifications: Contributions to Theory and Application....Pages 19-44
Multivariate Distributions of Hyperbolic Type....Pages 45-66
The Multimodal Exponential Families of Statistical Catastrophe Theory....Pages 67-90
Regression Models for the Inverse Gaussian Distribution....Pages 91-97
A Note on the Inverse Gaussian Distribution....Pages 99-103
Some Properties of the Log-Laplace Distribution....Pages 105-110
Compound Distributions Relevant to Life Testing....Pages 111-124
Distributions Associated with Neutrality Properties for Random Proportions....Pages 125-136
The Independence of Size and Shape before and after Scale Change....Pages 137-145
Distributions on the Simplex for the Analysis of Neutrality....Pages 147-156
Chance Mechanisms for the Univariate Generalized Waring Distribution and Related Characterizations....Pages 157-171
On a New Family of Discrete Distributions....Pages 173-180
On the Stirling Distribution of the First Kind....Pages 181-187
On the Moments and Factorial Moments of a MPSD....Pages 189-195
On Bivariate Discrete Distributions Generated by Compounding....Pages 197-212
Bivariate Generalized Discrete Distributions and Bipartitional Polynomials....Pages 213-223
A Bivariate Hyper-Poisson Distribution....Pages 225-230
On the Multinomial Distributions Generated by Stochastic Matrices and Applications....Pages 231-242
Distributions with Sufficient Statistics for Multivariate Location Parameter and Transformation Parameter....Pages 243-254
Analytic Distribution Functions....Pages 255-265
Some Recent Statistical Results for Infinitely Divisible Distributions....Pages 267-280
An Alternate Simpler Method of Evaluating the Multivariate Beta Function and an Inverse Laplace Transform Connected with Wishart Distribution....Pages 281-286
On a Theorem of Polya....Pages 287-292
Asymptotic Distributions of Functions of Eigenvalues....Pages 293-303
A Rejection Technique for the Generation of Random Variables with the Beta Distribution....Pages 305-312
Fast Methods for Generating Bivariate Discrete Random Variables....Pages 313-319
Frugal Methods of Generating Bivariate Discrete Random Variables....Pages 321-329
A Characterization of the Negative Multinomial Distribution....Pages 331-339
On the Rao-Rubin Characterization of the Poisson Distribution....Pages 341-347
On Some Characterizations of the Geometric Distribution....Pages 349-355
On Splitting Model and Related Characterizations of Some Statistical Distributions....Pages 357-363
Rao-Rubin Condition for a Certain Class of Continuous Damage Models....Pages 365-373
On Matrix-Variate Beta Type I Distribution and Related Characterization of Wishart Distribution....Pages 375-378
On the Relationship between the Conditional and Unconditional Distribution of a Random Variable....Pages 379-387
Some Bivariate Distributions of (X, Y) Where the Conditional Distribution of Y, Given X, is either Beta or Unit-Gamma....Pages 389-400
Some Relationships between the Logistic and the Exponential Distributions....Pages 401-409
Some Characterizations of the Exponential Distribution Based on Record Values....Pages 411-416
A Note on Srivastava’s Characterization of the Exponential Distribution Based on Record Values....Pages 417-418
On the Stochastic Equation X+Y=XY....Pages 419-431
Back Matter....Pages 447-455
On the Stability of Characterizations of Non-Normal Stable Distributions....Pages 433-446
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