# Inference Based on Generalized Doubly Type-II Hybrid Censored Sample from a Half Logistic Distribution

• Lee, Kyeong-Jun (Department of Statistics, Pusan National University) ;
• Park, Chan-Keun (Department of Data Information, Korea Maritime University) ;
• Cho, Young-Seuk (Department of Statistics, Pusan National University)
• Accepted : 20110700
• Published : 2011.09.30
• 92 43

#### Abstract

Chandrasekar et al. (2004) introduced a generalized Type-II hybrid censoring. In this paper, we propose generalized doubly Type-II hybrid censoring. In addition, this paper presents the statistical inference on the scale parameter for the half logistic distribution when samples are generalized doubly Type-II hybrid censoring. The approximate maximum likelihood(AMLE) method is developed to estimate the unknown parameter. The scale parameter is estimated by the AMLE method using two di erent Taylor series expansion types. We compar the AMLEs in the sense of the mean square error(MSE). The simulation procedure is repeated 10,000 times for the sample size n = 20; 30; 40 and various censored samples. The $AMLE_I$ is better than $AMLE_{II}$ in the sense of the MSE.

#### References

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#### Cited by

1. An Estimation of the Entropy for a Rayleigh Distribution Based on Doubly-Generalized Type-II Hybrid Censored Samples vol.16, pp.7, 2014, https://doi.org/10.3390/e16073655
2. Estimation of the half-logistic distribution based on multiply Type I hybrid censored sample vol.25, pp.6, 2014, https://doi.org/10.7465/jkdi.2014.25.6.1581