Theory and Applicability of the Weighted Modified Lindley Distribution
- Title
- Theory and Applicability of the Weighted Modified Lindley Distribution
- Creator
- Chesneau C.; Tomy L.; Gillariose J.
- Description
- As a bridge between the exponential and Lindley distributions, the modified Lind-ley distribution was created. It has been used successfully in a variety of fields related to survival analysis. In this study, we present a novel distribution that extends the modified Lindley distribution using the traditional weighted (or length/size-biased) approach. It is named as weighted modified Lindley distribution. This idea is mainly used to flexibilize the former modified Lindley distribution through the use of a one-parameter polynomial weight. This weight is intended to modulate the functionalities of the new distribution, well beyond those of the former modified Lindley distribution. The related probability density function, cumulative density function, hazard rate function, moments, moment generating function and characteristic function are analysed from a theoretical and practical point of view. Estimation of the parameters is done by the classical method of maximum likelihood and a simulation study is carried out to check the consistency of the maximum likelihood estimates. A data set is used to illustrate the application of the proposed distribution. 2022, Society of Statistics, Computer and Applications. All rights reserved.
- Source
- Statistics and Applications, Vol-20, No. 2, pp. 157-175.
- Date
- 2022-01-01
- Publisher
- Society of Statistics, Computer and Applications
- Subject
- Data analysis; Estimation; Lindley distribution; Modified Lindley distribution; Moments; Weighted distributions
- Coverage
- Chesneau C., Department of Statistics, Universitde Caen, LMNO, Campus II, Science 3, Caen, 14032, France; Tomy L., Department of Statistics, Deva Matha College, Kerala, Kuravilangad, 686633, India; Gillariose J., Department of Statistics CHRIST, (Deemed to be University), Hosur Road, Bengaluru, 560029, India
- Rights
- Restricted Access
- Relation
- ISSN: 24547395
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Chesneau C.; Tomy L.; Gillariose J., “Theory and Applicability of the Weighted Modified Lindley Distribution,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/15164.