A comparison study on a new five-parameter generalized Lindley distribution with its sub-models

Artikel

In recent years, modifications of the classical Lindley distribution have been considered by many authors. In this paper, we introduce a new generalization of the Lindley distribution based on a mixture of exponential and gamma distributions with different mixing proportions and compare its performance with its sub-models. The new distribution accommodates the classical Lindley, Quasi Lindley, Two-parameter Lindley, Shanker, Lindley distribution with location parameter, and Three-parameter Lindley distributions as special cases. Various structural properties of the new distribution are discussed and the size-biased and the length-biased are derived. A simulation study is conducted to examine the mean square error for the parameters by means of the method of maximum likelihood. Finally, simulation studies and some real-world data sets are used to illustrate its flexibility in terms of its location, scale and shape parameters.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Statistics in Transition New Series ; ISSN: 2450-0291 ; Volume: 21 ; Year: 2020 ; Issue: 2 ; Pages: 89-117 ; New York: Exeley

Classification and Topics

• Subject: Lindley distribution ; mixture distributions ; size-biased distributions ; maximumlikelihood estimation

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Tharshan, Ramajeyam ; Wijekoon, Pushpakanthie
• Event: Veröffentlichung
• (who): Exeley
• (where): New York
• (when): 2020

Further information

• DOI: doi:10.21307/stattrans-2020-015
• Handle: http://hdl.handle.net/10419/236765
• Last update: 10.03.2025, 11:42 AM CET