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has been cited by the following article:

• TITLE: Interval Estimation in a Two Parameter Weibull Distribution Based on Type-2 Censored Data

  AUTHORS: Raphael Masila Mweleli, Luke Akong’o Orawo, Cox Lwaka Tamba, Justin Obwoge Okenye

  KEYWORDS: Two-Parameter Weibull Distribution, Interval Estimation, Relative Likelihood Function, Maximum Relative Likelihood Function, Profile-Likelihood Interval, Coverage Probability

  JOURNAL NAME: Open Journal of Statistics, Vol.10 No.6, December 21, 2020

  ABSTRACT: In this paper, we consider the construction of the approximate profile- likelihood confidence intervals for parameters of the 2-parameter Weibull distribution based on small type-2 censored samples. In previous research works, the traditional Wald method has been used to construct approximate confidence intervals for the 2-parameter Weibull distribution under type-2 censoring scheme. However, the Wald technique is based on normality assumption and thus may not produce accurate interval estimates for small samples. The profile-likelihood and Wald confidence intervals are constructed for the shape and scale parameters of the 2-parameter Weibull distribution based on simulated and real type-2 censored data, and are hence compared using confidence length and coverage probability.