• THE BETA TRANSMUTED WEIGHTED EXPONENTIAL DISTRIBUTION

Abstract

The beta transmuted weighted exponential distribution is introduced in this paper. It contains a number of distributions as special cases. The mathematical properties of the distribution are provided and explicit expressions are derived for the mean deviations and moment generating function. The distribution and moments of order statistics of the new distribution are discussed. Estimation of the model parameters by the methods of moments and maximum likelihood are studied. The observed information matrix is obtained. Finally, the usefulness of the new distribution in analyzing real data set is illustrated.