Some New Lifetime Distributions: Lindley Log-Logistic And Kumaraswamy Lindley Log-Logistic Distributions With Applications

Two new distributions called Lindley-Log-Logistic (LLLoG) and Kumaraswamy Lindley Log-logistic (KLLLoG) distributions are proposed and studied. Some structural properties of the new distributions including moments, conditional moments, mean and median deviations, Bonferroni and Lorenz curves, distribution of the order statistics and Renyi entropy ´ are derived. Maximum likelihood estimation technique is used to estimate the parameters of the models. A simulation studies to examine the bias and mean square error of the maximum likelihood estimators are presented and applications of the distributions to real data sets to illustrate the usefulness of the models are given