Weighted Amarendra Distribution: Properties and Applications to Model Real-Life Data

Authors

Maryam Mohiuddin, Department of Statistics, Annamalai University, Annamalai Nagar, Tamil Nadu-608002, IndiaFollow
Shabir A. Dar, Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu-608002, IndiaFollow
Arshad A. Khan, Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu-608002, IndiaFollow
Khairi M. Omar, Business Administration Department, College of Administrative Sciences, Applied Science University, BahrainFollow
Aafaq A. Rather, Department of Statistics, Faculty of Science and Technology, Vishwakarma University, Pune, IndiaFollow

Abstract

In this study, a new generalization of Amarendra distribution has been proposed. The new distribution is called the weighted Amarendra distribution. Some statistical properties of the distribution are obtained. These include survival function, hazard function, reverse hazard rate, moments, moment generating function, order statistics, entropies, Bonferroni and Lorenz curves. The maximum likelihood technique is used to estimate the parameters of the model. Finally, the usefulness and application of the distribution has been demonstrated by the two set of real-life data.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110326

Recommended Citation

Mohiuddin, Maryam; A. Dar, Shabir; A. Khan, Arshad; M. Omar, Khairi; and A. Rather, Aafaq (2022) "Weighted Amarendra Distribution: Properties and Applications to Model Real-Life Data," Journal of Statistics Applications & Probability: Vol. 11: Iss. 3, Article 26.
DOI: http://dx.doi.org/10.18576/jsap/110326
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss3/26