Statistical Distributions in Scientific Work by Taillie, Charles; Patil, Ganapati P.; Baldessari, Bruno A.;

Table of Contents:

Section I: Continuous Models.- Statistical Predictive Distributions.- Hyperbolic Distributions and Ramifications: Contributions to Theory and Application.- Multivariate Distributions of Hyperbolic Type.- The Multimodal Exponential Families of Statistical Catastrophe Theory.- Regression Models for the Inverse Gaussian Distribution.- A Note on the Inverse Gaussian Distribution.- Some Properties of the Log-Laplace Distribution.- Compound Distributions Relevant to Life Testing.- Distributions Associated with Neutrality Properties for Random Proportions.- The Independence of Size and Shape Before and After Scale Change.- Distributions on the Simplex for the Analysis of Neutrality.- Section II: Discrete Models.- Chance Mechanisms for the Univariate Generalized Waring Distribution and Related Characterizations.- On a New Family of Discrete Distributions.- On the Stirling Distribution of the First Kind.- On the Moments and Factorial Moments of a MPSD.- On Bivariate Discrete Distributions Generated By Compounding.- Bivariate Generalized Discrete Distributions and Bipartitional Polynomials.- A Bivariate Hyper-Poisson Distribution.- On the Multinomial Distributions Generated By Stochastic Matrices and Applications.- Section III: Structural Properties.- Distributions with Sufficient Statistics for Multivariate Location Parameter and Transformation Parameter.- Analytic Distribution Functions.- Some Recent Statistical Results for Infinitely Divisible Distributions.- An Alternate Simpler Method of Evaluating the Multivariate Beta Function and an Inverse Laplace Transform Connected with Wishart Distribution.- On a Theorem of Polya.- Asymptotic Distributions of Functions of Eigenvalues.- Section IV: Computer Generation.- A Rejection Technique for the Generation of Random Variables withthe Beta Distribution.- Fast Methods for Generating Bivariate Discrete Random Variables.- Frugal Methods of Generating Bivariate Discrete Random Variables.- Section V: Characterizations.- A Characterization of the Negative Multinomial Distribution.- On the Rao-Rubin Characterization of the Poisson Distribution.- On Some Characterizations of the Geometric Distribution.- On Splitting Model and Related Characterizations of Some Statistical Distributions.- Rao-Rubin Condition for a Certain Class of Continuous Damage Models.- On Matrix-Variate Beta Type I Distribution and Related Characterization of Wishart Distribution.- On the Relationship Between the Conditional and Unconditional Distribution of a Random Variable.- Some Bivariate Distributions of (X,Y) Where the Conditional Distribution of Y, Given X, is Either Beta or Unit-Gamma.- Some Relationships Between the Logistic and the Exponential Distributions.- Some Characterizations of the Exponential Distribution Based on Record Values.- A Note on Srivastava’s Characterization of the Exponential Distribution Based on Record Values.- On the Stochastic Equation X+Y=XY.- On the Stability of Characterizations of Non-Normal Stable Distributions.- Author Index.