Using nonparametric goodness-of-fit tests to validate accelerated failure time models

Galanova, N. S.; Lemeshko, B. Yu.; Chimitova, Ekaterina V.

doi:10.3103/s8756699012060064

Cited by 11 publications

(7 citation statements)

References 10 publications

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“…[ 36 , 37 ] proposed a modified chi-squared test based on Kaplan–Meyer estimators. [ 38 ] considered modifications of the Kolmogorov–Smirnov statistic, Anderson–Darling statistic, and the Cramer-Von-Mises statistic for accelerate failure models. In this work, we are interested in the modified chi-squared type test, proposed by [ 39 , 40 , 41 ] for parametric models with right censored data.…”

Section: Modified Chi-squared Type Test For Right Censored Datamentioning

confidence: 99%

A New Parametric Life Distribution with Modified Bagdonavičius–Nikulin Goodness-of-Fit Test for Censored Validation, Properties, Applications, and Different Estimation Methods

Mansour

Rasekhi

Ibrahim

et al. 2020

Entropy

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In this paper, we first study a new two parameter lifetime distribution. This distribution includes “monotone” and “non-monotone” hazard rate functions which are useful in lifetime data analysis and reliability. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Renyi entropy, δ-entropy, order statistics and probability weighted moments are derived. Non-Bayesian estimation methods such as the maximum likelihood, Cramer-Von-Mises, percentile estimation, and L-moments are used for estimating the model parameters. The importance and flexibility of the new distribution are illustrated by means of two applications to real data sets. Using the approach of the Bagdonavicius–Nikulin goodness-of-fit test for the right censored validation, we then propose and apply a modified chi-square goodness-of-fit test for the Burr X Weibull model. The modified goodness-of-fit statistics test is applied for the right censored real data set. Based on the censored maximum likelihood estimators on initial data, the modified goodness-of-fit test recovers the loss in information while the grouped data follows the chi-square distribution. The elements of the modified criteria tests are derived. A real data application is for validation under the uncensored scheme.

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Section: Modified Chi-squared Type Test For Right Censored Datamentioning

confidence: 99%

A New Parametric Life Distribution with Modified Bagdonavičius–Nikulin Goodness-of-Fit Test for Censored Validation, Properties, Applications, and Different Estimation Methods

Mansour

Rasekhi

Ibrahim

et al. 2020

Entropy

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show abstract

“…First, Habib and Thomas (1986) and Hollander and Pena (1992) proposed a modified version of the Chisquared test for the randomly censored real data based on the well-known estimators of the Kaplan and Meyer. Then, Galanova (2012) considered some nonparametric modifications for the Anderson-Darling (AD) test statistic, Kolmogorov-Smirnov (KS) test statistic and the Cramer-Von-Mises (KM) test statistic for the accelerate failure models. Recently, Bagdonavičius and Nikulin (2011a,b) presented and applied a new type of Chi-squared goodnessof-fit test statistic for the censored data (right case), (see Bagdonavičius et al (2013)).…”

Section: Introductionmentioning

confidence: 99%

A Modified Chi-square Type Test Statistic for the Double Burr X Model with Applications to Right Censored Medical and Reliability Data

Aidi

Butt

Ali

et al. 2021

Pak.j.stat.oper.res.

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A new modified version of the Bagdonavičius-Nikulin goodness-of-fit test statistic is presented for validity for the right censor case under the double Burr type X distribution. The maximum likelihood estimation method in censored data case is used and applied. Simulations via the algorithm of Barzilai-Borwein is performed for assessing the right censored estimation method. Another simulation study is presented for testing the null hypothesis under the modified version of the Bagdonavičius and Nikulin goodness-of-fit statistical test. Four right censored data sets are analyzed under the new modified test statistic for checking the distributional validation.

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“…First, Habib and Thomas (1986) and Hollander and Pena (1992) proposed a modified version of the Chi-squared test for the randomly censored real data based on the well-known estimators of the Kaplan and Meyer. Then, Galanova (2012) considered some nonparametric modifications for the Anderson-Darling statistic (ADS), Kolmogorov-Smirnov statistic (KSS) and the Cramer-Von-Mises statistic (KVMS) for the accelerate failure distributions. Recently, Bagdonavičius and Nikulin (2011a) presented and applied a new type Chi-squared goodness-of-fit test statistic for the censored data (right case).…”

Section: Introductionmentioning

confidence: 99%

A Modified Chi-square Type Test for Distributional Validity with Applications to Right Censored Reliability and Medical Data

Yousof¹,

Al-Nefaie

Aidi³

et al. 2021

Pak.j.stat.oper.res.

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In this paper, a modified Chi-square goodness-of-fit test called the modified Bagdonavičius-Nikulin goodness-of-fit test statistic is investigated and the applied for distributional validation under the right censored case. The new modified goodness-of-fit test is presented and applied for the right censored data sets. The algorithm of the censored Barzilai-Borwein is employed via a comprehensive simulation study for assessing validity of the new test. The modified Bagdonavičius-Nikulin test is applied to four real and right censored data sets. A new distribution is compared with many other competitive distributions under the new modified Bagdonavičius-Nikulin goodness-of-fit test statistic.

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Using nonparametric goodness-of-fit tests to validate accelerated failure time models

Cited by 11 publications

References 10 publications

A New Parametric Life Distribution with Modified Bagdonavičius–Nikulin Goodness-of-Fit Test for Censored Validation, Properties, Applications, and Different Estimation Methods

A New Parametric Life Distribution with Modified Bagdonavičius–Nikulin Goodness-of-Fit Test for Censored Validation, Properties, Applications, and Different Estimation Methods

A Modified Chi-square Type Test Statistic for the Double Burr X Model with Applications to Right Censored Medical and Reliability Data

A Modified Chi-square Type Test for Distributional Validity with Applications to Right Censored Reliability and Medical Data

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