Statistical Inference And Optimum Life Testing Plans Under Joint Progressively Type Ii Censoring Scheme For Weibull Lifetime Distributions
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Hybrid Censoring Know-How
Author: Narayanaswamy Balakrishnan
language: en
Publisher: Academic Press
Release Date: 2023-01-06
Hybrid Censoring Know-How: Models, Methods and Applications focuses on hybrid censoring, an important topic in censoring methodology with numerous applications. The readers will find information on the significance of censored data in theoretical and applied contexts, and descriptions of extensive data sets from life-testing experiments where these forms of data naturally occur. The existing literature on censoring methodology, life-testing procedures, and lifetime data analysis provides only hybrid censoring schemes, with little information about hybrid censoring methodologies, ideas, and statistical inferential methods. This book fills that gap, featuring statistical tools applicable to data from medicine, biology, public health, epidemiology, engineering, economics, and demography. - Presents many numerical examples to adequately illustrate all inferential methods discussed - Mentions some open problems and possible directions for future work - Reviews developments on Type-II and Type-I HCS, including the most recent research and trends - Explains why hybrid censored sampling is important in practice - Provides details about the use of HCS under different settings and on various designs of HCS - Describes the use of hybrid censoring in other reliability applications such as reliability sampling plans, step-stress testing, and quality control
Statistics in Industry and Government
Statistics plays a central role in industrial quality control and high-class quality maintenance in products. Statistical designs and data collection are central also in government planning and program implementation. These two important aspects of statistical theory and applications will be of focus of this volume. We aim to cover as many applications that use statistics as an underlying tool in bringing the best quality products and industrial designs. Indian Statistical Institute played an important role in developing quality control measures during the 1940s-70s due to C.R. Rao and those methods helped to train several statistical industries and engineers across the world, for example, Genichi Taguchi of Japan, etc who revolutionized industrial quality in Japan. There are several such examples. - Easy to understand concepts - Materials provided in implementable way - Written experts in the field
Statistical Inference and Optimum Life-testing Plans Under Joint Progressively Type-ii Censoring Scheme for Weibull Lifetime Distributions
This thesis aims to estimate parameters and determine the optimal life-testing plans with Weibull distributed lifetimes under joint progressive Type-II censoring scheme proposed by Mondal and Kundu (2019). We obtain the maximum likelihood esti mators numerically by four procedures-the Newton-Raphson and Bisection methods, and stochastic EM and dual annealing algorithms, and determine the optimum joint progressive Type-II censoring schemes by the variable-neighborhood-search-based ap proach discussed in Bhattacharya et al. (2016). A sensitivity analysis is also considered to study the effect of misspecification of parameter values on the optimal scheme.