Published

2022-01-01

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

DOI:

https://doi.org/10.15446/rce.v45n1.95602

Keywords:

Characterization of distributions, Exponential distribution, Generalized order statistics (en)
Caracterización de distribuciones, Distribución Exponencial, Estadísticas de orden generalizadas (es)

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Authors

  • Haroon M. Barakat Zagazig Univesrity
  • Imtiyaz A. Shah Sher E Kashmir Institute of Medical Sciences Srinagar

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.

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.

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How to Cite

APA

Barakat, H. M. and Shah, I. A. (2022). Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem. Revista Colombiana de Estadística, 45(1), 149–159. https://doi.org/10.15446/rce.v45n1.95602

ACM

[1]
Barakat, H.M. and Shah, I.A. 2022. Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem. Revista Colombiana de Estadística. 45, 1 (Jan. 2022), 149–159. DOI:https://doi.org/10.15446/rce.v45n1.95602.

ACS

(1)
Barakat, H. M.; Shah, I. A. Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem. Rev. colomb. estad. 2022, 45, 149-159.

ABNT

BARAKAT, H. M.; SHAH, I. A. Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem. Revista Colombiana de Estadística, [S. l.], v. 45, n. 1, p. 149–159, 2022. DOI: 10.15446/rce.v45n1.95602. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/95602. Acesso em: 28 mar. 2025.

Chicago

Barakat, Haroon M., and Imtiyaz A. Shah. 2022. “Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem”. Revista Colombiana De Estadística 45 (1):149-59. https://doi.org/10.15446/rce.v45n1.95602.

Harvard

Barakat, H. M. and Shah, I. A. (2022) “Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem”, Revista Colombiana de Estadística, 45(1), pp. 149–159. doi: 10.15446/rce.v45n1.95602.

IEEE

[1]
H. M. Barakat and I. A. Shah, “Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem”, Rev. colomb. estad., vol. 45, no. 1, pp. 149–159, Jan. 2022.

MLA

Barakat, H. M., and I. A. Shah. “Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem”. Revista Colombiana de Estadística, vol. 45, no. 1, Jan. 2022, pp. 149-5, doi:10.15446/rce.v45n1.95602.

Turabian

Barakat, Haroon M., and Imtiyaz A. Shah. “Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem”. Revista Colombiana de Estadística 45, no. 1 (January 19, 2022): 149–159. Accessed March 28, 2025. https://revistas.unal.edu.co/index.php/estad/article/view/95602.

Vancouver

1.
Barakat HM, Shah IA. Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem. Rev. colomb. estad. [Internet]. 2022 Jan. 19 [cited 2025 Mar. 28];45(1):149-5. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/95602

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