Estimation of half triangle distribution under generalized progressive hybrid censored sample

다국어 초록 (Multilingual 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 ecient than the MLE of the scale parameter.

목차 (Table of Contents)

• Abstract
• 1. Introduction
• 2. Maximum likelihood estimation
• 3. Approximate maximum likelihood estimation
• 4. Estimation of the reliability
• 5. The simulation results
• References