Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem

• Autores: Imtiyaz A. Shah, H. M. Barakat
• Localización: Revista Colombiana de Estadística, ISSN-e 2389-8976, ISSN 0120-1751, Vol. 45, Nº. 1, 2022, págs. 149-159
• Idioma: inglés
• DOI: 10.15446/rce.v45n1.95602
• Títulos paralelos:
  • Algunas caracterizaciones de la distribución exponencial mediante estadísticas de orden generalizado, con aplicaciones al problema de predicción estadística
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen 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.

  • English

    Abstract 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.

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