Devendra Kumar https://orcid.org/0000- 0001-5831-3315 , Maneesh Kumar https://orcid.org/0000-0002-4186-5962 , Sapna Yadav https://orcid.org/0009-0000-3143-3827 , Anju Goyal https://orcid.org/0000-0002-0171-3163

© D. Kumar, M. Kumar, S. Yadav, A. Goyal. Article available under the CC BY-SA 4.0 licence

ARTICLE

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ABSTRACT

In this paper, we propose inference procedures for the estimation of parameters by using order statistics. First, we derive some new expressions for single and product moments of the order statistics from the extended power Lindley distribution. We then use these moments to obtain the best linear unbiased estimates (BLUEs) of the location and scale parameters based on Type-II right-censored samples. A real data set is analysed to illustrate the flexibility and importance of the model.

KEYWORDS

extended power Lindley distribution, order statistics, moments, best linear unbiased estimator

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