EconPapers    
Economics at your fingertips  
 

The Modified Lindley Distribution Through Convex Combination with Applications in Engineering

Afaq Ahmad (), A. A. Bhat, S. P. Ahmad and Raheela Jan
Additional contact information
Afaq Ahmad: Islamic University of Science and Technology
A. A. Bhat: Islamic University of Science and Technology
S. P. Ahmad: University of Kashmi
Raheela Jan: University of Kashmi

Annals of Data Science, 2025, vol. 12, issue 5, No 2, 1463-1478

Abstract: Abstract This paper introduces a Modified Lindley distribution using a convex combination of exponential and gamma distribution. The fundamental properties of the proposed distribution such as the shapes of the distribution, moments, mean, variance, reliability, hazard rate, moment generating function, stochastic ordering and the distribution of order statistics have been derived. The proposed distribution is observed to be a heavy-tailed distribution and can also be used to model data with upside-down bathtub shape for its hazard rate function. The maximum likelihood estimators of the unknown parameters of the proposed distribution have been obtained. Two numerical examples are given to demonstrate the applicability of the proposed distribution and for the two real data sets, the proposed distribution is found to be superior in its ability to sufficiently model heavy-tailed data than many other models.

Keywords: Lindley distribution; Convex combination; Moments; Stochastic ordering; Estimation techniques; Applications (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s40745-024-00569-6 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:12:y:2025:i:5:d:10.1007_s40745-024-00569-6

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

DOI: 10.1007/s40745-024-00569-6

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 ().

 
Page updated 2025-08-28
Handle: RePEc:spr:aodasc:v:12:y:2025:i:5:d:10.1007_s40745-024-00569-6