A Modern Course on Statistical Distributions in Scientific Work : Volume 2 -- Model Building and Model Selection Proceedings of the NATO Advanced Study Institute held at the University of Calgary, Calgary, Alberta, Canada July 29 - August 10, 1974

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. Patil, 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. Front Matter....Pages I-XVII Statistical Modelling: An Alternative View....Pages 1-9 Chance Mechanisms for Discrete Distributions in Scientific Modeling....Pages 11-24 Random Numbers: The Need, the History, the Generators....Pages 25-36 Chance Mechanisms in Computer Generation of Random Variables....Pages 37-50 A Probability Distribution with Applications to Monte Carlo Simulation Studies....Pages 51-64 On the Discrimination Between Two Location and Scale Parameter Models....Pages 65-78 Applications of Characterizations in the Area of Goodness of Fit....Pages 79-90 Test for Normality Using a Characterization....Pages 91-104 Tests for Normality Using Minimum Chi — Square....Pages 105-112 A New Statistic for Testing an Assumed Distribution....Pages 113-124 The Poisson Distribution: The Theory and Application of Some Conditional Tests....Pages 125-140 The Size of Human Settlements....Pages 141-150 Statistical Models for Personal Income Distributions....Pages 151-158 Symmetric Distributions with Fat Tails: Interrelated Compound Distributions Estimated by Box-Jenkins Methods....Pages 159-174 A Marketing Application of a Characterization Theorem....Pages 175-185 Statistical Problems of Size and Shape. I. Biological Applications and Basic Theorems....Pages 187-218 Statistical Problems of Size and Shape. II. Characterizations of the Lognormal, Gamma and Dirichlet Distributions....Pages 219-239 Skew Distributions in Biomedicine Including some with Negative Powers of Time....Pages 241-262 Models in Medicine and Toxicology....Pages 263-274 Mass-Size Distributions: A Review and a Proposed New Model....Pages 275-288 Application of Statistical Models to Engineering Problems....Pages 289-300 Failure and Mortality from Wear and Ageing. The Teissier Model....Pages 301-320 Some Statistical Models for Seismological Discrimination....Pages 321-326 Probability Laws for Topological Properties of Drainage Basins....Pages 327-341 Indices and Models for Aggregation in Spatial Patterns....Pages 343-353 Extreme Order Statistics in Large Samples from Exponential Type Distributions and their Application to Fire Loss....Pages 355-367 Statistical Distributions in Forestry and Forest Products Research....Pages 369-384 A Modern Course Sequence on Statistical Distributions....Pages 385-396 Back Matter....Pages 397-399 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 disƯ 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. Patil, 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 Proceedings of the NATO Advanced Study Institute, Calgary, Alberta, Canada, 1974