caa a22 4500 606196358 CHVBK 20210128100924.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10260-014-0276-5 doi (NATIONALLICENCE)springer-10.1007/s10260-014-0276-5 On a new absolutely continuous bivariate generalized exponential distribution [Elektronische Daten] [S. Mirhosseini, M. Amini, D. Kundu, A. Dolati] In this paper we studied a three-parameter absolutely continuous bivariate distribution whose marginals are generalized exponential distributions. The proposed three-parameter bivariate distribution can be used quite effectively as an alternative to the Block and Basu bivariate exponential distribution. The joint probability density function, the joint cumulative distribution function and its associated copula have simple forms. We derive different properties of this new distribution. The maximum likelihood estimators of the unknown parameters can be obtained by solving simultaneously three non-linear equations. We propose to use EM algorithm to compute the maximum likelihood estimators, which can be implemented quite conveniently. One data set has been analyzed for illustrative purposes. Finally we propose some generalization of the proposed model. Springer-Verlag Berlin Heidelberg, 2014 Generalized exponential nationallicence Bivariate exponential distribution nationallicence Dependence nationallicence Measure of association nationallicence EM algorithm nationallicence Mirhosseini S. Department of Statistics, Faculty of Mathematical Science, Ferdowsi University of Mashhad, P.O. Box 91775-1159, Mashhad, Iran aut Amini M. Department of Statistics, Faculty of Mathematical Science, Ferdowsi University of Mashhad, P.O. Box 91775-1159, Mashhad, Iran aut Kundu D. Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, 208016, Kanpur, India aut Dolati A. Department of Statistics, Yazd University, 89195-741, Yazd, Iran aut Statistical Methods & Applications Springer Berlin Heidelberg 24/1(2015-03-01), 61-83 1618-2510 24:1<61 2015 24 10260 https://doi.org/10.1007/s10260-014-0276-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10260-014-0276-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mirhosseini S. Department of Statistics, Faculty of Mathematical Science, Ferdowsi University of Mashhad, P.O. Box 91775-1159, Mashhad, Iran aut NATIONALLICENCE 700 1- Amini M. Department of Statistics, Faculty of Mathematical Science, Ferdowsi University of Mashhad, P.O. Box 91775-1159, Mashhad, Iran aut NATIONALLICENCE 700 1- Kundu D. Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, 208016, Kanpur, India aut NATIONALLICENCE 700 1- Dolati A. Department of Statistics, Yazd University, 89195-741, Yazd, Iran aut NATIONALLICENCE 773 0- Statistical Methods & Applications Springer Berlin Heidelberg 24/1(2015-03-01), 61-83 1618-2510 24:1<61 2015 24 10260