Some Statistical Inferences on the Records Weibull Distribution Using Shannon Entropy and Renyi Entropy

Gholamhossein Yari; Rezvan Rezaei

doi:10.3390/ecea-1-b011

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Some Statistical Inferences on the Records Weibull Distribution Using Shannon Entropy and Renyi Entropy

Gholamhossein Yari

¹,

Rezvan Rezaei

^{*

2}

¹ Members of Groups the Statistics Department at Iran University of Science & Technology
² School of Mathematics, Iran University of Science and Technology

Published: 12 November 2014 by MDPI in 1st International Electronic Conference on Entropy and Its Applications session Information Theory

https://doi.org/10.3390/ecea-1-b011

Abstract: In this paper, we discuss different estimators of the records Weibull distributionparameters and also we apply the Kullback-Leibler divergence of survival function methodto estimate record Weibull parameters. Finally, these methods have been compared usingMonte Carlo simulation.

Keywords: Weibull distribution; upper record; entropy; parameter estimation; simulation

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