Author(s)

Zahida Perveen^1*, Zulfiqar Ahmed², Munir Ahmad³

¹Lahore Garrison University, Main Campus Sector C, Phase VI, DHA Lahore, Pakistan.
²GIFT University, Gujranwala, Pakistan.
³National College of Business Administration and Economics, Lahore, Pakistan.

This paper introduces a new distribution based on the exponential distribution, known as Size-biased Double Weighted Exponential Distribution (SDWED). Some characteristics of the new distribution are obtained. Plots for the cumulative distribution function, pdf and hazard function, tables with values of skewness and kurtosis are provided. As a motivation, the statistical application of the results to a problem of ball bearing data has been provided. It is observed that the new distribution is skewed to the right and bears most of the properties of skewed distribution. It is found that our newly proposed distribution fits better than size-biased Rayleigh and Maxwell distributions and many other distributions. Since many researchers have studied the procedure of the weighted distributions in the estates of forest, biomedicine and biostatistics etc., we hope in numerous fields of theoretical and applied sciences, the findings of this paper will be useful for the practitioners.

Exponential Distribution, Moments, Moment Ratios, Estimation

Perveen, Z. , Ahmed, Z. and Ahmad, M. (2016) On Size-Biased Double Weighted Exponential Distribution (SDWED). Open Journal of Statistics, 6, 917-930. doi: 10.4236/ojs.2016.65076.