Extended exponential distribution based on order statistics

Devendra Kumar, Sanku Dey and Saralees Nadarajah

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 18, 9166-9184

Abstract: The extended exponential distribution due to Nadarajah and Haghighi (2011) is an alternative to and always provides better fits than the gamma, Weibull, and the exponentiated exponential distributions whenever the data contain zero values. We establish recurrence relations for the single and product moments of order statistics from the extended exponential distribution. These recurrence relations enable computation of the means, variances, and covariances of all order statistics for all sample sizes in a simple and efficient manner. By using these relations, we tabulate the means, variances, and covariances of order statistics and derive best linear unbiased estimates of the extended exponential distribution. Finally, a data application is provided.

Date: 2017
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Citations: View citations in EconPapers (11)

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DOI: 10.1080/03610926.2016.1205625

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