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Estimation of half triangle distribution under generalized progressive hybrid censored sample
Journal of the Korean Data & Information Science Society 2018;29:839-50
Published online May 31, 2018
© 2018 Korean Data and Information Science Society.

Ho-Yong Kim1 · Suk-Bok Kang2

12Department of Statistics, Yeungnam University
Correspondence to: Professor, Department of Statistics, Yeungnam University, Gyeongsan 38541, Korea. E-mail: sbkang@yu.ac.kr
Received March 16, 2018; Revised May 2, 2018; Accepted May 8, 2018.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Using some Taylor series expansions, we obtain maximum likelihood estimator (MLE) and some approximate maximum likelihood estimators (AMLEs) of the scale parameter in half triangle distribution based on generalized progressive hybrid censored samples. We also obtain some estimators of the relibility function by using the proposed estimators of the scale parameter of the half triangle distribution. Finally, Monte Carlo simulations are used to assess the validity of the proposed estimators. The proposed AMLEs are obtained explicitly with closed form and more efficient than the MLE of the scale parameter.
Keywords : Approximate maximum likelihood estimator, generalized progressive hybrid censored sample, half triangle distribution, reliability.