Statistical Distributions in Scientific Work

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 ofa 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.