Estimation in an Exponentiated Half Logistic Distribution under Progressively Type-II Censoring

Abstract

In this paper, we derive the maximum likelihood estimator(MLE) and some approximate maximum likelihood estimators(AMLEs) of the scale parameter in an exponentiated half logistic distribution based on progressively Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error(MSE) through a Monte Carlo simulation for various censoring schemes. We also obtain the AMLEs of the reliability function.

Bayesian analysis of an exponentiated half-logistic distribution under progressively type-II censoring

“…Table 4.2 shows these values. The test statistic D n is less than the test statistic computed by Kang and Seo (2011). Therefore, we conclude that the data follow an exponentiated half-logistic distribution with unknown scale and shape parameters.…”

“…Kang and Seo (2011) use the data for the Kolmogorov test to examine whether the data follow an exponentiated halflogistic distribution when the shape parameter λ = 1. To check the goodness of fit for an exponentiated half-logistic distribution with unknown scale and shape parameters, we first calculate MLEs of unknown parameters σ and λ for uncensored data.…”

“…Balakrishnan and Wong (1991) obtain approximate maximum likelihood estimators (AMLEs) of location and scale parameters of half-logistic distributions by using a type-II right-censored sample. Kang et al (2008) derive AMLEs and MLEs of scale parameters of half-logistic distributions by using progressively type-II censored samples. Kang et al (2009) propose AMLEs of scale parameters of half-logistic distributions by considering double-hybrid censored samples.…”

“…Kang et al (2009) propose AMLEs of scale parameters of half-logistic distributions by considering double-hybrid censored samples. Kang and Seo (2011) recently examine exponentiated halflogistic distributions and propose two types of AMLEs of scale parameters and reliability functions by using progressively type-II right-censored samples. Kim et al (2011a) derive Bayesian estimators of shape parameters, reliability functions, and failure rate functions of exponentiated half-logistic and half-triangle distributions by using type-II right-censored data (Kim et al, 2011b(Kim et al, , 2011c.…”

Estimation for generalized half logistic distribution based on records

“…Kang and Park (2005) derived AMLE of the scale parameter in a half logistic distribution based on multiply Type-II censored samples. Kang et al (2008) derived AMLEs and MLE of the scale parameter in a half logistic distribution based on progressively Type-II censored samples. Kang et al (2009) proposed AMLEs of the scale parameter in a half logistic distribution based on double hybrid censored samples.…”