The length-biased power Garima distribution and its application to model lifetime data

In this paper, a new two-parameter distribution namely the length-biased power Garima (LBPG) distribution is proposed. It contains the length-biased Garima (LBG) distribution as a special case. Properties, such as moments, survival function, hazard rate function, and order statistics are included. The parameter estimation of the proposed distribution is illustrated by using the maximum likelihood estimation. Finally, the application study to show the flexibility of the proposed distribution in modeling six real data sets is illustrated in terms of data fitting when compared among the LBG, power Garima, and Garima distributions. The results presented to show the LBPG distribution fits better than other distributions. Applications to these practical data sets are given to demonstrate the usefulness of the proposed distribution.