An Empirical Analysis of Some Nonparametric Goodness-of-Fit Tests for Censored Data

Chimitova, Ekaterina V.; Vedernikova, M. A.

doi:10.1080/03610918.2013.796982

Cited by 11 publications

(5 citation statements)

References 14 publications

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“…To address these concerns in the context of the case study application (see Section 4), the Nikulin-Rao-Robson (NRR) χ 2 test is adopted in addition to the test referred to above. This test is less subjective to variations in the censoring distribution times, however it is limited to smaller sample sizes [34].…”

Section: Goodness-of-fit Testingmentioning

confidence: 99%

Predictive maintenance for aircraft components using proportional hazard models

Verhagen

Boer

2018

Journal of Industrial Information Integration

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Section: Goodness-of-fit Testingmentioning

confidence: 99%

Predictive maintenance for aircraft components using proportional hazard models

Verhagen

Boer

2018

Journal of Industrial Information Integration

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“…Balakrishnan et al. ( 2015 ) suggests a way to perform the required goodness-of-fit tests by transforming the censored sample to a complete sample. Another approach is to modify the test statistics used in the full sample case to account for the presence of censoring.…”

Section: Introductionmentioning

confidence: 99%

New classes of tests for the Weibull distribution using Stein’s method in the presence of random right censoring

2022

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We develop two new classes of tests for the Weibull distribution based on Stein’s method. The proposed tests are applied in the full sample case as well as in the presence of random right censoring. We investigate the finite sample performance of the new tests using a comprehensive Monte Carlo study. In both the absence and presence of censoring, it is found that the newly proposed classes of tests outperform competing tests against the majority of the distributions considered. In the cases where censoring is present we consider various censoring distributions. Some remarks on the asymptotic properties of the proposed tests are included. We present another result of independent interest; a test initially proposed for use with full samples is amended to allow for testing for the Weibull distribution in the presence of censoring. The techniques developed in the paper are illustrated using two practical examples.

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“…One approach is to transform the censored sample to a complete sample and then use any of the existing tests for exponentiality developed for the full sample case. This approach is discussed in Balakrishnan et al (2015). A more common approach is to use the standard tests applicable to complete samples and modify them to accommodate random right censoring.…”

Section: Introductionmentioning

confidence: 99%

Characteristic function and Laplace transform‐based tests for exponentiality in the presence of random right censoring

Bothma

Allison

Cockeran

et al. 2021

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In this paper, the composite hypothesis that lifetimes follow an exponential distribution is tested based on observed randomly right censored data. Testing this hypothesis is complicated by the presence of this censoring, due to the fact that not all lifetimes are observed. To account for this complication, we propose modifications to tests based on the empirical characteristic function and Laplace transform. In the full sample case, these empirical functions can be expressed as integrals with respect to the empirical distribution function of the lifetimes. We propose replacing this estimate of the distribution function by the Kaplan–Meier estimate. The resulting test statistics can be expressed in easily calculable forms in terms of summations of functionals of the observed data. Additionally, a general framework for goodness‐of‐fit testing, in the presence of random right censoring, is outlined. A Monte Carlo study is performed, the results of which indicate that the newly modified tests generally outperform the existing tests. A practical application, concerning initial remission times of leukaemia patients, is discussed along with some concluding remarks and avenues for future research.

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An Empirical Analysis of Some Nonparametric Goodness-of-Fit Tests for Censored Data

Cited by 11 publications

References 14 publications

Predictive maintenance for aircraft components using proportional hazard models

Predictive maintenance for aircraft components using proportional hazard models

New classes of tests for the Weibull distribution using Stein’s method in the presence of random right censoring

Characteristic function and Laplace transform‐based tests for exponentiality in the presence of random right censoring

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