# Goodness-of-fit test for the logistic distribution based on multiply type-II censored samples

• Kang, Suk-Bok (Department of Statistics, Yeungnam University) ;
• Han, Jun-Tae (Research Management Team, Korea Student Aid Foundation) ;
• Cho, Young-Seuk (Department of Statistics, Pusan National University)
• Accepted : 2013.12.09
• Published : 2014.01.31

#### Abstract

In this paper, we derive the estimators of the location parameter and the scale parameter in a logistic distribution based on multiply type-II censored samples by the approximate maximum likelihood estimation method. We use four modified empirical distribution function (EDF) types test for the logistic distribution based on multiply type-II censored samples using proposed approximate maximum likelihood estimators. We also propose the modified normalized sample Lorenz curve plot for the logistic distribution based on multiply type-II censored samples. For each test, Monte Carlo techniques are used to generate the critical values. The powers of these tests are also investigated under several alternative distributions.

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