eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2333-4576 2014-05-03 2 3 121 128 10.12691/ajams-2-3-6 AJAMS2014236 article Sudhansu S. Maiti dssm1@rediffmail.com 1 Sudhir Murmu 2 Department of Statistics, Visva-Bharati University Santiniketan, India District Rural Development Agency Khunti, Jharkhand, India The article considers the problem of , when X and Y belong to independently distributed two extreme value distributions. Maximum likelihood estimate of R has been found out and the estimates assuming different distributions have been compared for complete samples. Lower confidence limits of R have been found out by Delta method and bootstrap method. The Bayes estimate of R has also been calculated using MCMC approach. http://pubs.sciepub.com/ajams/2/3/6/ajams-2-3-6.pdf Bayes estimate delta method Lower Confidence Limit Metropolis-Hastings algorithm