A New Goodness-of-Fit Test for the Logistic Distribution

Hadi Alizadeh Noughabi ()
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Hadi Alizadeh Noughabi: University of Birjand

Sankhya B: The Indian Journal of Statistics, 2022, vol. 84, issue 1, No 11, 303-319

Abstract: Abstract The logistic distribution has been widely used to model growth curves in survival analysis and biological studies. In this article, we propose a goodness of fit test for the logistic distribution based on a new estimate of Kullback-Leibler information. The properties of the test statistic are presented. In order to compute the proposed test statistic, parameters of the logistic distribution are estimated by approximate maximum likelihood estimators (AMLEs) suggested by Balakrishnan and Cohen (1990), which are simple explicit estimators. Through a simulation study, power values of the proposed test are compared with some prominent existing tests. Finally, an illustrative example is presented and analyzed.

Keywords: Logistic distribution; Kullback-Leibler information; Approximate maximum likelihood estimates; Goodness-of-fit test.; Primary 62G10; Secondary 62P10 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13571-021-00262-1

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