Statistical Distributions in Scientific Work: Volume 4 -- Models, Structures, and Characterizations, Proceedings of the NATO Advanced Study Institute

ISBN-13: 9789400985513 / Angielski / Miękka / 2011 / 455 str.

Charles Taillie; Ganapati P. Patil; Bruno A. Baldessari

Opis

The International Summer School on Statistical Distributions in Scientific Work was held in Trieste during July 1980 for a period of three weeks. The emphasis was on research, review, and exposition concerned with the interface between modern statistical distribution theory and real world problems and issues involving science, technology, and management. Both theory and applications received full attention at the School. The program consisted of a Short Intensive Preparation Course, aNA TO Advanced Study Institute, and a Research Conference. While the relative composi- tion of these activities varied somewhat in terms of instruction, exposition, research- review, research, and consultation, the basic spirit of each was essentially the same. Every participant was both a professor and a student. The summer school was sponsored by the NATO Advanced Study Institutes Program; Consiglio Nazionale delle Ricerche, Italy; Regione Autonoma Friuli Ven- of Health, USA; Office of Naval Research, ezia Giulia, Italy; National Institutes USA; The Pennsylvania State University; Universita di Roma~ Universita di Trieste; International Statistical Ecology Program; International Transfer of Science and Technology, Belgium; and the participants and their home institutions and organiza- tions. Research papers, research-review expositions and instructional lectures were spe- cially prepared for the program. These materials have been refereed and revised, and are now available in a series of several edited volumes and monographs.

Spis treści

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 with the 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.