A new parameter estimation method for the extended power Lindley distribution based on order statistics, with application

• Authors: Devendra Kumar , Maneesh Kumar , Sapna Yadav , Anju Goyal

Abstracts

EN

IIn 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

EN

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

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2024
• Volume: 25
• Issue: 2
• Pages: 167-184

Dates

published

2024

Contributors

author

Devendra Kumar

• University of Delhi, Central University of Haryana and Department of Statistics, Faculty of Mathematical Sciences, Department of Statistics, India

• https://orcid.org/0000000158313315

author

Maneesh Kumar

• Central University of Haryana, Department of Statistics, India

• https://orcid.org/0000000158313315

author

Sapna Yadav

• Central University of Haryana, Department of Statistics, India

• https://orcid.org/0009000031433827

author

Anju Goyal

• Panjab University, Department of Statistics, India

• https://orcid.org/0000000201713163

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Identifiers

DOI

10.59170/stattrans-2024-020

Biblioteka Nauki

56473090