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Estimation of the scale parameter of the half logistic distribution under unified hybrid censored sample
Journal of the Korean Data & Information Science Society 2018;29:13-25
Published online January 31, 2018
© 2018 Korean Data and Information Science Society.

Jaeyoung Gwag1 · Kyeongjun Lee2

12Department of Computer Science and Statistics, Daegu University
Correspondence to: Assistant professor, Department of Statistics and Computer Science, Daegu University, Gyeongbuk 68453, Korea. E-mail:
Received December 12, 2017; Revised January 4, 2018; Accepted January 4, 2018.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
The mixture of type I and type II censoring schemes is known as the hybrid censoring scheme. Hybrid censoring scheme has some disadvantages. Generalized hybrid censoring schemes (type I and type II) are designed to fix the disadvantages inherent in the hybrid censoring scheme. Unified hybrid censoring combine the two types of generalized hybrid censoring scheme. In this paper, we derive maximum likelihood estimator of the scale parameter for the half logistic distribution under the unified hybrid censoring samples. Also, we derive some approximate maximum likelihood estimators of the scale parameter for the half logistic distribution under unified hybrid censored samples. The scale parameter is estimated by approximate maximum likelihood estimation method using Taylor series expansion types. We compare the estimators in the sense of the mean square error. And we present examples to illustrate all estimators.
Keywords : Approximate maximum likelihood estimator, half-logistic distribution, hybrid censoring, maximum likelihood estimator, unified hybrid censoring.