A Comparative Analysis of Some Chi-Square Goodness-of-Fit Tests for Censored Data
ثبت نشده
چکیده
In this chapter, we consider some chi-square-type goodness-of-fit tests for right AQ1 censored samples, viz. the Nikulin–Rao–Robson (NRR) test and generalized Pearson–Fisher (GPF) test. We compare these tests in terms of power in the case of testing composite hypotheses by randomly censored and Type II censored samples. Various grouping methods are considered, including equifrequent grouping, grouping into intervals with equal expected numbers of failures as well as optimal grouping for some given pair of competing hypotheses. In the case of Type II censored data, we compare by power chi-square goodness-of-fit tests with the Kolmogorov, Cramer–von Mises–Smirnov and Anderson–Darling tests. AQ2
منابع مشابه
Some Recent Results in Chi-square Goodness-of-fit Tests Some Recent Results in Chi-square Goodness-of-fit Tests Some Recent Results on Chi-square Goodness-of-fit Tests
The aim of this paper is to relate and extend some recent work on chi-square goodness-of-fit tests. There is no discussion of any problems which are specifically associated with more than one categorical variable.. The main topics are the effect of estimation on chi-square and its partitions ~~d their relation to Neymants smooth goodness-of-fit test, and the effect of grotp:ing a univariate dis...
متن کاملAn Updated Review of Goodness of Fit Tests Based on Entropy
Different approaches to goodness of fit (GOF) testing are proposed. This survey intends to present the developments on Goodness of Fit based on entropy during the last 50 years, from the very first origins until the most recent advances for different data and models. Goodness of fit tests based on Shannon entropy was started by Vasicek in 1976 and were continued by many authors. In this paper, ...
متن کاملNonparametric Goodness-of-Fit Tests for Discrete, Grouped or Censored Data
The problems of application of nonparametric Kolmogorov, Cramer-von MisesSmirnov, Anderson-Darling goodness-of-fit tests for discrete, grouped and censored data have been considered in this paper. The use of these tests for grouped and censored data as well as samples of discrete random variables is based on Smirnov transformation. The convergence of statistic distributions to the corresponding...
متن کاملChi-squared Goodness of Fit Test for Generalized Birnbaum-saunders Models for Right Censored Data and Its Reliability Applications
Generalized Birnbaum-Saunders (GBS) distributions are proposed by Díaz-García et al. ([15], [16]) based on the family of elliptically contoured univariate distributions. This model is well-known as the highly flexible lifetime model by the difference in the degrees of kurtosis and asymmetry and processes uni-modality and bimodality. In this paper, a modifier Chi-squared goodness-of-fit test bas...
متن کاملComparison of the Goodness-of-Fit Tests: the Pearson Chi-square and Kolmogorov-Smirnov Tests
A test for goodness of fit usually involves examining a random sample from some unknown distribution in order to test the null hypothesis that the unknown distribution function is in fact a known, specified function. The Chi-square test can be applied to any univariate distribution for which you can calculate the cumulative distribution function. The Chi-square test does not have good propertie...
متن کامل