On the Optimality of Bivariate Ranked Set Sample Design for Matched Pairs Sign Test

An optimal alternative bivariate ranked set sample designs for the matched pairs sign test are obtained. Our investigation revealed that the optimal bivariate ranked set sample designs for matched pairs sign test are those with quantifying order statistics with labels {((r+1)/2, (r+1)/2)} when the set size r is odd and {(r/2, r/2), (r/2 + 1, r/2 + 1)} when the set size r is even. The exact null distributions, asymptotic distributions and Pitman efficiencies of those designs are derived. Numerical analysis of the power of the proposed optimal designs is included. An illustration using real data with a bootstrap algorithm for P-value estimation is used

A New Odd Log-Logistic Lindley Distribution with Properties and Applications

In this paper, a new three-parameter lifetime model, called the new odd log-logistic Lindley (NOLL-L) distribution, is introduced. Some structural properties of the new distribution including ordinary and incomplete moments, quantile and generating functions and order statistics are obtained. The new density function can be expressed as a linear mixture of exponentiated Lindley densities. The different methods are discussed to estimate the model parameters and a simulation study is done to show the performance of the new distribution. The importance and flexibility of the new model are also illustrated empirically by means of two real data sets