Abstract

SHAH, IMTIYAZ A.  and  BARAKAT, HAROON M.. Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem. Rev.Colomb.Estad. [online]. 2022, vol.45, n.1, pp.149-159.  Epub Jan 17, 2023. ISSN 0120-1751.  https://doi.org/10.15446/rce.v45n1.95602.

Some new characterization properties of the exponential distribution based on two non-adjacent m-generalized order statistics (consequently m-dual generalized order statistics), m # - 1, coming from two independent exponential distributions are derived. The result of this paper provides a beneficial strategy to predict the failure time of some survived components in a lifetime experiment by using the result of another independent lifetime experiment.

Keywords : characterization of distributions; Exponential distribution; generalized order statistics.

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