Order Statistics: Applications

About this book

Volume 17 of the Handbook of Statistics is the concluding volume covering Order Statistics. Dealing primarily with Applications, it is divided into six parts as follows: Results for Specific Distributions, Linear Estimation, Inferential Methods, Prediction, Goodness-of-fit Tests and Applications. Major theoretical advances were made in this area of research, and in the course of these developments order statistics has also found important applications in many diverse areas. These include life-testing and reliability, robustness studies, statistical quality control, filtering theory, signal processing, image processing, and radar target detection.

Theoretical researchers working on theoretical and methodological advancements on order statistics and applied statisticians and engineers developing new and innovative applications of order statistics have been successfully brought together to create this handbook. For the convenience of readers, the subject matter has been divided into two volumes. Volume 16 focuses on theory and methods. Each volume has been divided into parts, each part specializing in one aspect of order statistics. An elaborate Author Index as well as a Subject Index is presented in both volumes in order to facilitate easy access to all the material included.

Theoretical researchers, applied scientists and engineers, and graduate students involved in the area of order statistics, will find these two volumes dealing with order statistics and applications an invaluable source of information.

Contents

Part 1 Results for specific distributions: order statistics in exponential distribution; higher order moments of order statistics from exponential and right-truncated exponential distributions and applications to life-testing problems; log-gamma order statistics and linear estimation of parameters; recurrence relations for single and product moments or order statistics from a generalized logistic distribution with applications to inference and generalizations to double truncation; order statistics from the type III generalized logistic distribution and applications. Part 2 Linear estimation: estimation of scale parameter based on fixed set of order statistics; optimal linear inference using selected order statistics in location-scale models; on some L-estimation in linear regression models. Part 3 Inferential methods: the role of order statistics in estimating threshold parameters; parameter estimation under multiply type-II censoring; on some aspects of ranked set sampling in parametric estimation; some uses of order statistics in Bayesian analysis; inverse sampling procedures to test for homogeneity in a multinominal distribution. Part 4 Prediction: prediction of order statistics. Part 5 Goodness-of-fit tests: the probability plot - tests of fit based on the correlation coefficient; distribution assessment. Part 6 Applications: application of order statistics to sampling plans for inspection by variables; linear combinations of ordered symmetric observations with applications to visual acuity; order-statistic filtering and smoothing of time-series - part I; order-statistics filtering and smoothing of time-series - part II; order statistics in image processing; order statistics application to CFAR radar target detection.

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