Advances and Applications in Statistics
Volume 57, Issue 1, Pages 21 - 39
(July 2019) http://dx.doi.org/10.17654/AS057010021 |
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ESTIMATION AND PREDICTION FOR KUMARASWAMY EXPONENTIAL DISTRIBUTION BASED ON UPPER RECORD VALUES
A. Amin Essam and A. El-Dessouky Eman
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Abstract: Based on upper record values, some properties of new Kumaraswamy exponential distribution are proposed in this paper. The maximum likelihood estimators for the shape and scale parameters based on upper record are obtained. The maximum likelihood prediction and Wald’s interval prediction for future upper record values that arise from the Kumaraswamy exponential distribution are further considered. Finally, a simulation study is carried out on the theoretical results. |
Keywords and phrases: Kumaraswamy exponential distribution, upper record values, maximum likelihood estimation, prediction intervals, Wald’s prediction interval.
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