Statistical Distributions in Scientific Work: Volume 5 -- Inferential Problems and Properties

ISBN-13: 9789400985544 / Angielski / Miękka / 2011 / 439 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 modem 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, a NATO 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- ezia Giulia, Italy; National Institutes of Health, USA; Office of Naval Research, 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: Distributional Testing and Goodness-of-Fit.- A Review of Distributional Testing Procedures and Development of a Censored Sample Distributional Test.- A Goodness-of-Fit Procedure for Testing Whether a Reliability Growth Model Fits Data that Show Improvement.- Chi-Square Goodness-of-Fit Tests Based on Dependent Observations.- An Asymptotically Distribution-Free Goodness-of-Fit Test for Families of Statistical Distributions Depending on Two Parameters.- Conditionality Properties for the Bivariate Logarithmic Distribution with an Application to Goodness of Fit.- Section II: Parameter Estimation.- A Survey of Estimating Distributional Parameters and Sample Sizes from Truncated Samples.- Parameter Estimation for Truncated Exponential Families.- Properties of the Maximum Likelihood Estimator of a Mixing Distribution.- Conditional Maximum Likelihood Estimation in Gaussian Mixtures.- Estimation of Pareto Parameters by Numerical Methods.- A New Estimation Procedure for the Three-Parameter Lognormal Distribution.- Section III: Hypothesis Testing.- On the Asymptotic Distribution of the Multivariate Cramer-von Mises and Hoeffding-Blum-Kiefer- Rosenblatt Independence Criteria.- Complete Independence in the Multivariate Normal Distribution.- On Tests of Independence Under Bivariate Exponential Models.- On Tests for Detecting Change in the Multivariate Mean.- A Two-Dimensional t-Distribution and a New Test With Flexible Type I Error Control.- Testing Outliers in Multivariate Data.- Section IV: Approximations.- A Normal Approximation for the Multivariate Likelihood Ratio Statistics.- Explicit Accurate Approximations for Fitting the Parameters of LU.- A Method for the Evaluation of Cumulative Probabilities of Bivariate Distributions Using the Pearson Family.- Transformation of a Discrete Distribution to Near Normality.- Section V: Reliability and Life Testing.- Multivariate Distributions in Reliability Theory and Life Testing.- Hazard Rates Based on Isoprobability Contours.- Failure Time Distributions: Estimates and Asymptotic Results.- A Note on Shock Model Justification for IFR Distributions.- On the Mean Residual Life Function in Survival Studies.- Identifiability Problems in the Theory of Competing and Complementary Risks — A Survey.- Dependence Concepts for Stochastic Processes.- Section VI: Miscellaneous.- Some Distribution Theory Related to the Analysis of Subjective Performance in Inferential Tasks.- Every Body Has Its Moments.- Some Distributions in the Theory of Graphs.- Cograduation Between Statistical Distributions and Its Applications—A General Review.- Author Index.