A Modern Course on Statistical Distributions in Scientific Work

1. Front Matter

   Pages I-XX

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2. Inaugural Address

   1. Inaugural Address — Concept and Conduct of Calgary Course and Conference: Some Thoughts

      • G. P. Patil

      Pages 1-7

3. Power Series and Related Families

   1. Some Recent Advances with Power Series Distributions

      • S. W. Joshi

      Pages 9-17

   2. Multiparameter Stirling and C-Type Distributions

      • T. Cacoullos

      Pages 19-30

   3. Models for Gaussian Hypergeometric Distributions

      • Adrienne W. Kemp, C. D. Kemp

      Pages 31-40

   4. On the Probabilistic Structure and Properties of Discrete Lagrangian Distributions

      • P. C. Consul, L. R. Shenton

      Pages 41-57

   5. Estimation of Parameters on Some Extensions of the Katz Family of Discrete Distributions Involving Hypergeometric Functions

      • John Gurland, Ram Tripathi

      Pages 59-82

   6. A Characteristic Property of Certain Generalized Power Series Distributions

      • G. P. Patil, V. Seshadri

      Pages 83-86

4. Recent Trends in Univariate Models

   1. Stable Distributions: Probability, Inference, and Applications in Finance—A Survey, and a Review of Recent Results

      • S. J. Press

      Pages 87-102

   2. Structural Properties and Statistics of Finite Mixtures

      • Javad Behboodian

      Pages 103-112

   3. Distribution Theory for the Von Mises-Fisher Distribution and Its Application

      • K. V. Mardia

      Pages 113-130

   4. Certain Statistical Distributions Involving Special Functions and their Applications

      • Frank McNolty, J. Richard Huynen, Eldon Hansen

      Pages 131-160

   5. Tailweight, Statistical Inference and Families of Distributions — A Brief Survey

      • Thomas P. Hettmansperger, Michael A. Keenan

      Pages 161-172

   6. The Families with a “Universal” Location Estimator

      • A. L. Rukhin

      Pages 173-184

5. Moments-Related Problems

   1. Approximation Theory, Moment Problems and Distribution Functions

      • M. S. Ramanujan

      Pages 185-192

   2. Kurtosis and Departure from Normality

      • C. C. Heyde

      Pages 193-201

   3. Convergence of Sequences of Transformations of Distribution Functions and Some Moment Problems

      • W. L. Harkness

      Pages 203-211

6. Limit Distribution and Processes

   1. Weak Convergence for Exponential and Monotone Likelihood Ratio Families and the Convergence of Confidence Limits

      • Bernard Harris, Andrew P. Soms

      Pages 213-226

   2. On Efficiency and Exponential Families in Stochastic Process Estimation

      • C. C. Heyde, P. D. Feigin

      Pages 227-240

   3. A Lagrangian Gamma Distribution

      • D. L. Nelson, P. C. Consul

      Pages 241-246

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.

• Estimator
• Likelihood
• Random variable
• Variance
• statistics

• The Pennsylvania State University, University Park, USA

  G. P. Patil

• Temple University, Philadelphia, USA

  S. Kotz

• University of Warwick, Coventry, England

  J. K. Ord

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