The Lindley family of distributions: properties and applications

Selen CAKMAKYAPAN; Gamze OZEL

Article Details

The Lindley family of distributions: properties and applications

Authors:

Selen CAKMAKYAPAN | Gamze OZEL

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 6, pp.1113-1137

Document Type:

Article

Publication Date:

11/2017

Document Language:

English

Document ID (Org No.):

2000452121

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

Abstract:

 

In this paper, we propose a new class of distributions called the Lindley generator with one extra parameter to generate many continuous distributions. The new distribution contains several distributions as submodels, such as Lindley-Exponential, Lindley-Weibull, and Lindley- Lomax. Some mathematical properties of the new generator, including ordinary moments, quantile and generating functions, limiting behaviors,some entropy measures and order statistics, which hold for any baseline model, are presented. Then, we discuss the maximum likelihoodmethod to estimate model parameters. The importance of the new generator is illustrated by means of three real data sets. Applicationsshow that the new family of distributions can provide a better fit than several existing lifetime models.

Article Details

The Lindley family of distributions: properties and applications

Authors: Selen CAKMAKYAPAN | Gamze OZEL

Publisher: Hacettepe University

Main Topics: Mathematics

Journal: Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 6, pp.1113-1137

Document Type: Article

Publication Date: 11/2017

Document Language: English

Document ID (Org No.): 2000452121

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

Issues

Authors:

Selen CAKMAKYAPAN | Gamze OZEL

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 6, pp.1113-1137

Document Type:

Article

Publication Date:

11/2017

Document Language:

English

Document ID (Org No.):

2000452121

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X