Transmuted Size-biased Exponential Distribution and its Properties. | [Pakistan Journal of Statistics • 2018]

Author(s):

1. Ijaz Hussain: Department of Statistics, University of Gujrat, Gujrat, Pakistan

2. Zaheer Abbas: Department of Statistics, University of Gujrat, Gujrat, Pakistan

3. Zahoor Ahmad: ORIC, Lahore Garrison University, Lahore, Pakistan

Abstract:

In this paper, transmuted size-biased exponential distribution is developed using quadratic rank transmutation map approach. Mathematical properties like, CDF, rth order moment, moment generating function, characteristic function, measure of skewness and kurtosis, reliability measures, hazard function, Shannon and Renyi entropy functions, mean residual life function are derived. Furthermore, method of moments and maximum likelihood are used to estimate the parameters of proposed distribution. The performance of suggested distribution is compared with its base line distribution while modeling real data sets.

Page(s): 99-118

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 34, Issue: 2, Year: 2018

Keywords:

Keywords are not available for this article.

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