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Annals of Data Science

Erschienen in:

28.03.2019

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

verfasst von: Devendra Kumar, Anju Goyal

Erschienen in: Annals of Data Science | Ausgabe 4/2019

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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.

Vorheriger Artikel Estimation and Prediction for Gompertz Distribution Under the Generalized Progressive Hybrid Censored Data

Nächster Artikel On Regularisation Methods for Analysis of High Dimensional Data

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Titel: Generalized Lindley Distribution Based on Order Statistics and Associated Inference with Application
verfasst von: Devendra Kumar
Anju Goyal
Publikationsdatum: 28.03.2019
Verlag: Springer Berlin Heidelberg
Erschienen in: Annals of Data Science / Ausgabe 4/2019
Print ISSN: 2198-5804
Elektronische ISSN: 2198-5812
DOI: https://doi.org/10.1007/s40745-019-00196-6

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