Inference on Exponentiated Power Lindley Distribution Based on Order Statistics with Application
Joint Authors
Kumar, Devendra
Shrahili, Mansour
Alotaibi, Naif
Shafay, A. R.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-23
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Exponentiated power Lindley distribution is proposed as a generalization of some widely well-known distributions such as Lindley, power Lindley, and generalized Lindley distributions.
In this paper, the exact explicit expressions for moments of order statistics from the exponentiated power Lindley distribution are derived.
By using these relations, the best linear unbiased estimates of the location and scale parameters, based on type-II right-censored sample, are obtained.
Next, the mean, variance, and coefficients of skewness and kurtosis of some certain linear functions of order statistics are calculated and then used to derive the approximate confidence interval for the location and scale parameters using the Edgeworth approximation.
Finally, some numerical illustrations and two real data applications are presented.
American Psychological Association (APA)
Shrahili, Mansour& Alotaibi, Naif& Kumar, Devendra& Shafay, A. R.. 2020. Inference on Exponentiated Power Lindley Distribution Based on Order Statistics with Application. Complexity،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1142134
Modern Language Association (MLA)
Shrahili, Mansour…[et al.]. Inference on Exponentiated Power Lindley Distribution Based on Order Statistics with Application. Complexity No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1142134
American Medical Association (AMA)
Shrahili, Mansour& Alotaibi, Naif& Kumar, Devendra& Shafay, A. R.. Inference on Exponentiated Power Lindley Distribution Based on Order Statistics with Application. Complexity. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1142134
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142134