Generalized Lindley Distribution Based on Order Statistics and Associated Inference with Application

Devendra Kumar () and Anju Goyal
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Devendra Kumar: Central University of Haryana
Anju Goyal: Panjab University

Annals of Data Science, 2019, vol. 6, issue 4, No 5, 707-736

Abstract: Abstract The generalized Lindley distribution is an important distribution for analyzing the stress–strength reliability models and lifetime data, which is quite flexible and can be used effectively in modeling survival data. It can have increasing, decreasing, upside-down bathtub and bathtub shaped failure rate. In this paper, we derive the exact explicit expressions for the single, double (product), triple and quadruple moments of order statistics from the generalized Lindley distribution. By using these relations, we have tabulated the expected values, second moments, variances and covariances of order statistics from samples of sizes up to 10 for various values of the parameters. Also, we use these moments to obtain the best linear unbiased estimates of the location and scale parameters based on Type-II right-censored samples. In addition, we carry out some numerical illustrations through Monte Carlo simulations to show the usefulness of the findings. Finally, we apply the findings of the paper to some real data set.

Keywords: Generalized Lindley distribution; Order statistics; Single moment; Double moment; Type-II right censoring; Best linear unbiased estimator (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s40745-019-00196-6

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