2017
DOI: 10.5540/tema.2017.018.02.0233
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Binomial-exponential 2 Distribution: Different Estimation Methods and Weather Applications

Abstract: ABSTRACT. In this paper, we have considered different estimation methods of the unknown parameters of a binomial-exponential 2 distribution. First, we briefly describe different methods of estimation such as maximum likelihood, method of moments, percentile based estimation, least squares, method of maximum product of spacings, method of Cramér-von-Mises, methods of Anderson-Darling and right-tail AndersonDarling, and compare them using extensive simulations studies. Finally, the potentiality of the model is s… Show more

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Cited by 18 publications
(7 citation statements)
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“…Regarding the parameter estimators of the proposed model, many different inferential procedures could be considered in this study (see, for instance, Bakouch et al [2] or Ramos et al [11]), however due to the large number of observations the different estimators will return similar results. Therefore, we considered the MLEs as they are implemented in R packages.…”
Section: Modeling Results Under Parametric Modelsmentioning
confidence: 99%
“…Regarding the parameter estimators of the proposed model, many different inferential procedures could be considered in this study (see, for instance, Bakouch et al [2] or Ramos et al [11]), however due to the large number of observations the different estimators will return similar results. Therefore, we considered the MLEs as they are implemented in R packages.…”
Section: Modeling Results Under Parametric Modelsmentioning
confidence: 99%
“…As such of the real dataset problem, related to the leukemia, free-survival times (in months) for the 50 autologous transplant patients. Many extensions from this present work can be considered, for instance, the parameters estimation may also be studied under an objective Bayesian analysis (Ramos et al, 2014 or using different classical methods (Louzada et al, 2016;Bakouch et al 2017). Other approach should be to include covariates under the assumption of Cox model, i.e., proportional hazards.…”
Section: Discussionmentioning
confidence: 99%
“…The data represents total monthly rainfall during April at Sao Carlos from 1960 to 2014. The data set can be found at [4].…”
Section: Applications To Real Datamentioning
confidence: 99%