A New Generalization of Pranav Distribution with Application to Model Real Life Data

Authors

Maryam Mohiuddin, Department of Statistics, Annamalai University, Annamalai nagar, Tamil Nadu-608002, IndiaFollow
R. Kannan, Department of Statistics, Annamalai University, Annamalai nagar, Tamil Nadu-608002, IndiaFollow
Atheer Ahmed Alrashed, Department of Business Administration, Applied Science University, Kingdom of BahrainFollow
M. Fasil, Research Scholar CSIR- Structural Engineering Research Centre, Taramani, Chennai, IndiaFollow

Abstract

In this study, a two-parameter Pranav distribution was considered for generalization and the proposed model is known as Alpha Power two-parameter Pranav distribution. The new distribution is obtained by using the technique Alpha power transformation which was developed by Mahdavi and Kundu. Some statistical properties along with reliability measures of the model are derived and discussed. Model parameters are estimated with the help of maximum likelihood estimation approach. The proposed model is subjected to real-life data and compared to two-parameter Pranav distribution, two-parameter Lindley distribution, Power Lindley distribution, Pranav distribution, Akash distribution, Ishita distribution, Sujatha distribution, Shanker distribution, Lindley distribution and exponential distribution. The results obtained reveal that proposed model provides the best fit than other competing distributions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110321

Recommended Citation

Mohiuddin, Maryam; Kannan, R.; Ahmed Alrashed, Atheer; and Fasil, M. (2022) "A New Generalization of Pranav Distribution with Application to Model Real Life Data," Journal of Statistics Applications & Probability: Vol. 11: Iss. 3, Article 21.
DOI: http://dx.doi.org/10.18576/jsap/110321
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss3/21