In the context of reliability stress strength model describes the life of a component which has a random strength X subject to a stress Y. In the simplest form of stress strength model, a failure occurs when the strength (resistance) of the unit drops below the stress. It is defined as the probability that the unit’s strength is greater than the stress, that is, R = P[X > Y], where X is the random strength of the unit and Y is the instant stress placed on it. In this paper, we obtain the semi-parametric estimators of reliability under stress strength model of Lomax distribution under complete and censored samples. We illustrated the performance of the estimator by simulation study.

Lomax distribution, survival function, least square estimation, empirical distribution function, type I censoring, type II censoring.

Received: January 12, 2021; Accepted: January 28, 2021; Published: March 18, 2021

How to cite this article: Neethu Jacob and E. S. Jeevanand, Semiparametric estimation of stress strength reliability P[X > Y] of Lomax distribution, Far East Journal of Theoretical Statistics 61(2) (2021), 95-107. DOI: 10.17654/TS061020095

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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