The Beta-Lindley Distribution : Properties and Applications
Joint Authors
Merovci, Faton
Sharma, Vikas Kumar
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We introduce the new continuous distribution, the so-called beta-Lindley distribution that extends the Lindley distribution.
We provide a comprehensive mathematical treatment of this distribution.
We derive the moment generating function and the rth moment thus, generalizing some results in the literature.
Expressions for the density, moment generating function, and rth moment of the order statistics also are obtained.
Further, we also discuss estimation of the unknown model parameters in both classical and Bayesian setup.
The usefulness of the new model is illustrated by means of two real data sets.
We hope that the new distribution proposed here will serve as an alternative model to other models available in the literature for modelling positive real data in many areas.
American Psychological Association (APA)
Merovci, Faton& Sharma, Vikas Kumar. 2014. The Beta-Lindley Distribution : Properties and Applications. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-453942
Modern Language Association (MLA)
Merovci, Faton& Sharma, Vikas Kumar. The Beta-Lindley Distribution : Properties and Applications. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-453942
American Medical Association (AMA)
Merovci, Faton& Sharma, Vikas Kumar. The Beta-Lindley Distribution : Properties and Applications. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-453942
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453942