A consistent method of estimation for the three-parameter lognormal distribution based on Type-II right censored data. Issue 19 (1st October 2016)

• Record Type: Journal Article
• Authors: Nagatsuka, Hideki; Balakrishnan, N.
• Is Part Of: Communications in statistics. Volume 45:Issue 19(2016)
• Page Start: 5693
• Page End: 5708
• Publication Date: 2016-10-01
• Subjects: Bias -- Consistency -- Existence -- Lognormal distribution -- Maximum likelihood estimation -- Mean squared error -- Monte Carlo simulation -- Type-II censoring -- Uniqueness.; 62F10 and 62F12; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2014.948205
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: In this paper, we propose a parameter estimation method for the three-parameter lognormal distribution based on Type-II right censored data. In the proposed method, under mild conditions, the estimates always exist uniquely in the entire parameter space, and the estimators also have consistency over the entire parameter space. Through Monte Carlo simulations, we further show that the proposed method performs very well compared to a prominent method of estimation in terms of bias and root mean squared error (RMSE) in small-sample situations. Finally, two examples based on real data sets are presented for illustrating the proposed method.