A Modern Course on Statistical Distributions in Scientific Work: Volume 1 — Models and Structures Proceedings of the NATO Advanced Study Institute held at the University of Calgagry, Calgary, Alberta, Canada July 29 – August 10, 1974

Front Matter....Pages I-XX
Inaugural Address — Concept and Conduct of Calgary Course and Conference: Some Thoughts....Pages 1-7
Some Recent Advances with Power Series Distributions....Pages 9-17
Multiparameter Stirling and C-Type Distributions....Pages 19-30
Models for Gaussian Hypergeometric Distributions....Pages 31-40
On the Probabilistic Structure and Properties of Discrete Lagrangian Distributions....Pages 41-57
Estimation of Parameters on Some Extensions of the Katz Family of Discrete Distributions Involving Hypergeometric Functions....Pages 59-82
A Characteristic Property of Certain Generalized Power Series Distributions....Pages 83-86
Stable Distributions: Probability, Inference, and Applications in Finance—A Survey, and a Review of Recent Results....Pages 87-102
Structural Properties and Statistics of Finite Mixtures....Pages 103-112
Distribution Theory for the Von Mises-Fisher Distribution and Its Application....Pages 113-130
Certain Statistical Distributions Involving Special Functions and their Applications....Pages 131-160
Tailweight, Statistical Inference and Families of Distributions — A Brief Survey....Pages 161-172
The Families with a “Universal” Location Estimator....Pages 173-184
Approximation Theory, Moment Problems and Distribution Functions....Pages 185-192
Kurtosis and Departure from Normality....Pages 193-201
Convergence of Sequences of Transformations of Distribution Functions and Some Moment Problems....Pages 203-211
Weak Convergence for Exponential and Monotone Likelihood Ratio Families and the Convergence of Confidence Limits....Pages 213-226
On Efficiency and Exponential Families in Stochastic Process Estimation....Pages 227-240
A Lagrangian Gamma Distribution....Pages 241-246
Multivariate Distributions at a Cross Road....Pages 247-270
Dependence Concepts and Probability Inequalities....Pages 271-279
New Families of Multivariate Distributions....Pages 281-297
Asymptotic Expansions for the Nonnull Distributions of the Multivariate Test Statistics....Pages 299-317
A Multivariate Gamma Type Distribution Whose Marginal Laws are Gamma, and which has a Property Similar to a Characteristic Property of the Normal Case....Pages 319-328
The Bivariate Burr Distribution....Pages 329-335
Multivariate Beta Distribution....Pages 337-344
Distribution of a Quadratic Form in Normal Vectors....Pages 345-354
Bivariate and Multivariate Extreme Distributions....Pages 355-361
On the Distribution of the Minimum and of the Maximum of a Random Number of I.I.D. Random Variables....Pages 363-380
Transformation of the Pearson System with Special Reference to Type IV....Pages 381-390
Distributions of Characteristic Roots of Random Matrices....Pages 391-400
On the Arithmetic Means and Variances of Products and Ratios of Random Variables....Pages 401-406
Exact and Approximate Sampling Distribution of The F-Statistic Under the Randomization Procedure....Pages 407-418
Back Matter....Pages 419-424