Published

2021-07-12

Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence

Prueba de exponencialidad basada en progresivamente tipo II Datos censurados a través de la extensión de Tsallis acumulados Divergencia

DOI:

https://doi.org/10.15446/rce.v44n2.89797

Keywords:

Cumulative residual Tsallis divergence, Exponential distribution, Goodness of ft test, Monte Carlo simulation, Progressively Type-II censored sampll, Tsallis divergence. (en)
Bondad de ajuste, Distribución exponencial, Divergencia Tsallis, Divergencia Tsallis residual acumulada, Simulación Monte Carlo (es)

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Authors

  • Vahideh Ahrari Department of Statistics, Ferdowsi University of Mashhad.
  • Arezou Habibirad Department of Statistics, Ferdowsi University of Mashhad.

In this article, first new divergences are defined by using Tsallis divergence and a measure of discrepancy between equilibriums associated with two distributions is proposed. Then utilizing the progressively Type-II censored sample, we construct goodness of fit tests for exponentiality based on the estimation of proposed divergences. To investigate the performance of the mentioned tests, Monte Carlo simulations are performed. In order to study the power, the alternatives are considered according to the failure rate function. The powers of the proposed tests are then compared with other existing tests. As regards the last step of the study, in order to explain the use of the proposed tests, three examples are presented.

En este artículo, las primeras nuevas divergencias se definen utilizando la divergencia de Tsallis y se propone una medida de discrepancia entre los
equilibrios asociados con dos distribuciones. Luego, utilizando la muestra censurada progresivamente Tipo II, construimos pruebas de bondad de ajuste
para exponencialidad basadas en la estimación de divergencias propuestas. Para investigar el desempeño de las pruebas mencionadas, se realizan
simulaciones Monte Carlo. Para estudiar la potencia, se consideran las alternativas según la función de tasa de falla. Los poderes de las pruebas propuestas se comparan luego con otras pruebas existentes. En cuanto al último paso del estudio,

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How to Cite

APA

Ahrari, V. and Habibirad, A. (2021). Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence. Revista Colombiana de Estadística, 44(2), 297–312. https://doi.org/10.15446/rce.v44n2.89797

ACM

[1]
Ahrari, V. and Habibirad, A. 2021. Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence. Revista Colombiana de Estadística. 44, 2 (Jul. 2021), 297–312. DOI:https://doi.org/10.15446/rce.v44n2.89797.

ACS

(1)
Ahrari, V.; Habibirad, A. Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence. Rev. colomb. estad. 2021, 44, 297-312.

ABNT

AHRARI, V.; HABIBIRAD, A. Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence. Revista Colombiana de Estadística, [S. l.], v. 44, n. 2, p. 297–312, 2021. DOI: 10.15446/rce.v44n2.89797. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/89797. Acesso em: 21 apr. 2025.

Chicago

Ahrari, Vahideh, and Arezou Habibirad. 2021. “Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence”. Revista Colombiana De Estadística 44 (2):297-312. https://doi.org/10.15446/rce.v44n2.89797.

Harvard

Ahrari, V. and Habibirad, A. (2021) “Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence”, Revista Colombiana de Estadística, 44(2), pp. 297–312. doi: 10.15446/rce.v44n2.89797.

IEEE

[1]
V. Ahrari and A. Habibirad, “Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence”, Rev. colomb. estad., vol. 44, no. 2, pp. 297–312, Jul. 2021.

MLA

Ahrari, V., and A. Habibirad. “Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence”. Revista Colombiana de Estadística, vol. 44, no. 2, July 2021, pp. 297-12, doi:10.15446/rce.v44n2.89797.

Turabian

Ahrari, Vahideh, and Arezou Habibirad. “Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence”. Revista Colombiana de Estadística 44, no. 2 (July 12, 2021): 297–312. Accessed April 21, 2025. https://revistas.unal.edu.co/index.php/estad/article/view/89797.

Vancouver

1.
Ahrari V, Habibirad A. Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence. Rev. colomb. estad. [Internet]. 2021 Jul. 12 [cited 2025 Apr. 21];44(2):297-312. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/89797

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