TITLE:
On Size-Biased Double Weighted Exponential Distribution (SDWED)
AUTHORS:
Zahida Perveen, Zulfiqar Ahmed, Munir Ahmad
KEYWORDS:
Exponential Distribution, Moments, Moment Ratios, Estimation
JOURNAL NAME:
Open Journal of Statistics,
Vol.6 No.5,
October
27,
2016
ABSTRACT: 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.