POWER ISHITA DISTRIBUTION AND ITS APPLICATION TO MODEL LIFETIME DATA

Shukla Kamlesh Kumar () and Shanker Rama ()
Additional contact information
Shukla Kamlesh Kumar: Department of Statistics, College of Science, Eritrea Institute of Technology, Asmara, Eritrea .
Shanker Rama: Department of Statistics, College of Science, Eritrea Institute of Technology, Asmara, Eritrea .

Statistics in Transition New Series, 2018, vol. 19, issue 1, 135-148

Abstract: A study on two-parameter power Ishita distribution (PID), of which Ishita distribution introduced by Shanker and Shukla (2017 a) is a special case, has been carried out and its important statistical properties including shapes of the density, moments, skewness and kurtosis measures, hazard rate function, and stochastic ordering have been discussed. The maximum likelihood estimation has been discussed for estimating its parameters. An application of the distribution has been explained with a real lifetime data from engineering, and its goodness of fit shows better fit over two-parameter power Akash distribution (PAD), two-parameter power Lindley distribution (PlD) and one-parameter Ishita, Akash, Lindley and exponential distributions.

Keywords: Ishita distribution; moments; hazard rate function; stochastic ordering; maximum likelihood estimation; goodness of fit. (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.21307/stattrans-2018-008 (text/html)

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:vrs:stintr:v:19:y:2018:i:1:p:135-148:n:10

DOI: 10.21307/stattrans-2018-008

Access Statistics for this article

Statistics in Transition New Series is currently edited by Włodzimierz Okrasa

More articles in Statistics in Transition New Series from Statistics Poland
Bibliographic data for series maintained by Peter Golla ().