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

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Ganapati P. Patil, S. Kotz, J.K. Ord
Springer Science & Business Media, Dec 6, 2012 - Mathematics - 424 pages
These three volumes constitute the edited Proceedings of the NATO Advanced Study Institute on Statistical Distributions in Scientific Work held at the University of Calgary from July 29 to August 10, 1974. The general title of the volumes is "Statistical Distributions in Scientific Work". The individual volumes are: Volume 1 - Models and Structures; Volume 2 - Model Building and Model Selection; and Volume 3 - Characterizations and Applications. These correspond to the three advanced seminars of the Institute devoted to the respective subject areas. The planned activities of the Institute consisted of main lectures and expositions, seminar lectures and study group dis cussions, tutorials and individual study. The activities included meetings of editorial committees to discuss editorial matters for these proceedings which consist of contributions that have gone through the usual refereeing process. A special session was organized to consider the potential of introducing a course on statistical distributions in scientific modeling in the curriculum of statistics and quantitative studies. This session is reported in Volume 2. The overall perspective for the Institute is provided by the Institute Director, Professor G. P. Pati1, in his inaugural address which appears in Volume 1. The Linnik Memorial Inaugural Lecture given by Professor C. R. Rao for the Characterizations Seminar is included in Volume 3.
 

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Contents

Preface Introduction to Volume
2
T Cacoullos
19
Discrete Lagrangian Distributions P C Consul
41
the Katz Family of Discrete Distributions
58
Power Series Distributions G P Patil
83
and Applications in FinanceA Survey and
87
Mixtures Javad Behboodian
103
Distribution and Its Application K W Mardia
113
MULTIVARIATE CONCEPTS AND MODELS
247
Kumar Jogdeo 2 71
271
J J J Roux
281
CERTAIN MULTIVARIATE DISTRIBUTIONS
300
Marginal Laws Are Gamma and Which Has
319
Durling
329
Vectors Multivariate NonCentral Case
345
J Tiago de Oliveira
355

Special Functions and Their Applications
131
of Distributions A Brief Survey
161
Estimator A L Rukhin
173
MOMENTSRELATED PROBLEMS
185
Distribution Functions and Some Moment Problems
203
LIMIT DISTRIBUTIONS AND PROCESSES
212
Stochastic Process Estimation C C Heyde
227
and P C Consul
241
SAMPLING DISTRIBUTIONS AND TRANSFORMATIONS
363
Special Reference to Type IV K O Bowman
381
Matrices W B Waikar
391
Products and Ratios of Random Variables
401
of the FStatistic Under the Randomization
407
SUBJECT INDEX
419
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