On Discrimination Between the Lindley and xgamma Distributions

Subhradev Sen (), Hazem Al-Mofleh () and Sudhansu S. Maiti ()
Additional contact information
Subhradev Sen: Alliance University
Hazem Al-Mofleh: Tafila Technical University
Sudhansu S. Maiti: Visva Bharati University

Annals of Data Science, 2021, vol. 8, issue 3, No 6, 559-575

Abstract: Abstract For a given data set the problem of selecting either Lindley or xgamma distribution with unknown parameter is investigated in this article. Both these distributions can be used quite effectively for analyzing skewed non-negative data and in modeling time-to-event data sets. We have used the ratio of the maximized likelihoods in choosing between the Lindley and xgamma distributions. Asymptotic distributions of the ratio of the maximized likelihoods are obtained and those are utilized to determine the minimum sample size required to discriminate between these two distributions for user specified probability of correct selection and tolerance limit.

Keywords: Asymptotic distributions; Kolmogorov–Smirnov distance; Likelihood ratio statistic; Life distributions; 62E15; 62E25; 62F10 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s40745-020-00243-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:aodasc:v:8:y:2021:i:3:d:10.1007_s40745-020-00243-7

Ordering information: This journal article can be ordered from
https://www.springer ... gement/journal/40745

DOI: 10.1007/s40745-020-00243-7

Access Statistics for this article

Annals of Data Science is currently edited by Yong Shi

More articles in Annals of Data Science from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().