Volume 5, Issue 5 (May 2018), Pages: 92-98

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 Original Research Paper

 Title: Some properties of size - biased weighted Weibull distribution

 Author(s): Zahida Perveen, Munir Ahmad *

 Affiliation(s):

 Department of Statistics, National College of Business Administration and Economics, Lahore, Pakistan

 https://doi.org/10.21833/ijaas.2018.05.012

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 Abstract:

This paper introduces a new distribution based on the Weibull distribution, known as Size biased weighted Weibull distribution (SWWD). Some characteristics of the new distribution are obtained. Plots for the cumulative distribution function, probability density function (pdf) and hazard function, tables with values of skewness and kurtosis are provided. We also provide results of entropies and characterization of SWWD. As a motivation, the statistical applications of the results to the problems of ball bearing data and snow fall data set have been provided. It is found that our recently proposed distribution fits better than size biased Rayleigh and Maxwell distributions. 

 © 2018 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Weighted distribution, Weibull distribution, Moments, Estimation, Recurrence relation, Entropy, Characterization

 Article History: Received 15 October 2017, Received in revised form 12 March 2018, Accepted 12 March 2018

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.05.012

 Citation:

 Perveen Z and Ahmad M (2018). Some properties of size - biased weighted Weibull distribution. International Journal of Advanced and Applied Sciences, 5(5): 92-98

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I5/Perveen.html

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