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Revista Colombiana de Estadística
Print version ISSN 0120-1751
Rev.Colomb.Estad. vol.45 no.1 Bogotá Jan./June 2022 Epub Jan 17, 2023
https://doi.org/10.15446/rce.v45n1.95602
Artículos originales de investigación
Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem
Algunas caracterizaciones de la distribución exponencial mediante estadísticas de orden generalizado, con aplicaciones al problema de predicción estadística
1 DEPARTMENT OF COMMUNITY MEDICINE (BIO STATISTICS), SHER E KASHMIR INSTITUTE OF MEDICAL SCIENCES SRINAGAR, KASHMIR, INDIA
2 DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, ZAGAZIG UNIVERSITY, ZAGAZIG, EGYPT
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.
Key words: characterization of distributions; Exponential distribution; generalized order statistics
Se derivan algunas propiedades de caracterización nuevas de la distribución exponencial basadas en dos estadísticas de orden generalizado m no adyacentes (en consecuencia, estadísticas de orden generalizado m dual), m # -1, procedentes de dos distribuciones exponenciales independientes. El resultado de este artículo proporciona una estrategia beneficiosa para predecir el tiempo de falla de algunos componentes sobrevividos en un experimento de por vida utilizando el resultado de otro experimento de por vida independiente.
Palabras clave: caracterización de distribuciones; distribución Exponencial; estadísticas de orden generalizadas
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Received: December 2020; Accepted: November 2021
This is an open-access article distributed under the terms of the Creative Commons Attribution License
