2015
DOI: 10.1109/tr.2014.2366763
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Goodness of Fit Using a New Estimate of Kullback-Leibler Information Based on Type II Censored Data

Abstract: In this article, a general goodness of fit test is developed by using a new estimate of Kullback-Leibler (KL) information based on Type-II censored data. The proposed test is consistent, and the test statistic is nonnegative, just like KL information. Then, the test statistic is used to test for exponentiality based on Type-II censored data. Through a simulation study, power values of the proposed test are compared with some prominent existing tests. A real-life data analysis is finally presented for illustrat… Show more

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Cited by 16 publications
(2 citation statements)
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“…It has been shown that the Student's t-test is the optimal test in spectrum sensing given a small number of samples [38,39]. Then, taking into account the limitations of the traditional GoF test (e.g., AD test and KS test) under a small number of samples, the powerful GoF test [40][41][42][43][44] is introduced to precisely evaluate the distance between common cumulative distribution and the empirical distribution of observation. As in the proposed method in [45], the statistic based on the likelihood ratio is used, which is substantially more powerful than the traditional statistic.…”
Section: Introductionmentioning
confidence: 99%
“…It has been shown that the Student's t-test is the optimal test in spectrum sensing given a small number of samples [38,39]. Then, taking into account the limitations of the traditional GoF test (e.g., AD test and KS test) under a small number of samples, the powerful GoF test [40][41][42][43][44] is introduced to precisely evaluate the distance between common cumulative distribution and the empirical distribution of observation. As in the proposed method in [45], the statistic based on the likelihood ratio is used, which is substantially more powerful than the traditional statistic.…”
Section: Introductionmentioning
confidence: 99%
“…. , (T n , δ n ), where T i = min(X i , C i ) where the survival time (X i ) 1≤i≤n are generated from Lognormal(1,4), while the censored time (C i ) 1≤i≤n are generated from Lognormal(4, 1). We are interested…”
mentioning
confidence: 99%