On a Weibull-Inverse Exponential Distribution

Chandrakant (), M. K. Rastogi () and Y. M. Tripathi ()
Additional contact information
Chandrakant: Indian Institute of Technology Patna
M. K. Rastogi: National Institute of Pharmaceutical Education and Research
Y. M. Tripathi: Indian Institute of Technology Patna

Annals of Data Science, 2018, vol. 5, issue 2, No 5, 209-234

Abstract: Abstract In this paper we study various reliability properties of a Weibull inverse exponential distribution. The maximum likelihood and Bayes estimates of unknown parameters and reliability characteristics are obtained. Bayes estimates are obtained with respect to the squared error loss function under proper and improper prior situations. We use the Lindley method and the Metropolis–Hastings algorithm to compute the Bayes estimates. Interval estimation is also considered. Asymptotic and highest posterior density intervals of unknown parameters are constructed in this respect. We perform a numerical study to compare the performance of all methods and obtain comments based on this study. We also analyze two real data sets for illustration purposes. Finally a conclusion is presented.

Keywords: Bayes estimates; Maximum likelihood estimates; Metropolis–Hastings algorithm; Lindley approximation method; Highest posterior density interval (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s40745-017-0125-0 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:5:y:2018:i:2:d:10.1007_s40745-017-0125-0

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

DOI: 10.1007/s40745-017-0125-0

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 ().