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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.v44n2.89797Keywords:
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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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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