Estimation of Parameters of Topp-Leone Inverse Lomax Distribution in Presence of Right Censored Samples

Abstract

In this paper, we deal with a three-parameter inverse Lomax cited as the Topp-Leone inverse Lomax (TLIL) distribution depend on Topp-Leone-G family. Expressions of its density and distribution functions are explored. The structure properties of suggested model are provided like quantile function, moments, incomplete moments and Rényi entropy. Maximum likelihood estimators of the TLIL distribution parameters along with reliability estimator are worked out via complete and type II censored samples. To investigate the statistical properties of estimates we present numerical illustration along with two real data.

Keywords

• Inverse lomax
• Topp-Leone family
• Maximum likelihood
• Censored samples

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