On some Classical Properties of the Mixture of Burr XII and Lomax Distributions

The BurrXII and Lomax distributions are the most widely and important distributions used for life time purpose and for modeling the business failure time data. Burr XII distribution is mainly used to explain the allocation of wealth and wages among the people of the particular society. And Lomax is used to model the business failure time data. It is a transformed shape of Pareto distribution. In this research paper, the properties of the mixture of burr XII and Lomax distributions have been given. Classical properties such as Cumulative distribution function, failure rate, hazard rate, odd function, inverse hazard function and the cumulative hazard function, , r th moment, , moments, mean and variance have been derived.