IJSRP, Volume 6, Issue 7, July 2016 Edition [ISSN 2250-3153]
Shakila Bashir, Itrat Batool Naqvi
Abstract:
Exponential distribution is one of the most useful distribution real life data. In this paper a new weighted exponential distribution is derived. The resultant distribution is positively skewed. The shape of the weighted exponential distribution is shown with graphs with different values of parameters and weights. Further the properties including cdf, moments, median, skewness and kurtosis, and Quantile function of the weighted exponential distribution is derived. Parameter of the weighted exponential distribution is estimated by using maximum likelihood and moment estimation methods. The memory less property for weighted exponential distribution has been proved. Reliability measures are also developed for the newly derived distribution. Finally the applications of the weighted exponential distribution are discussed on a waiting time data.