The Annals of Statistics

Chi-Square Tests of Fit for Type II Censored Data

Daniel P. Mihalko and David S. Moore

Full-text: Open access

Abstract

The theory of general chi-square statistics for testing fit to parametric families of distributions is extended to samples censored at sample quantiles. Data-dependent cells with sample quantiles as cell boundaries are employed. Asymptotic distribution theory is given for statistics in which unknown parameters are estimated by estimators asymptotically equivalent to linear combinations of functions of order statistics. Emphasis is placed on obtaining statistics having a chi-square limiting null distribution. Examples of such statistics for testing the fit of Type II censored samples to the negative exponential, normal, two-parameter uniform and two-parameter Weibull families are given.

Article information

Source
Ann. Statist., Volume 8, Number 3 (1980), 625-644.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176345013

Digital Object Identifier
doi:10.1214/aos/1176345013

Mathematical Reviews number (MathSciNet)
MR568725

Zentralblatt MATH identifier
0458.62036

JSTOR
links.jstor.org

Subjects
Primary: 62G10: Hypothesis testing
Secondary: 62E20: Asymptotic distribution theory

Keywords
Goodness of fit chi-square tests censored data

Citation

Mihalko, Daniel P.; Moore, David S. Chi-Square Tests of Fit for Type II Censored Data. Ann. Statist. 8 (1980), no. 3, 625--644. doi:10.1214/aos/1176345013. https://projecteuclid.org/euclid.aos/1176345013


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