@article{a9010ebfa1294371bb8913adcebc9eef,
title = "Construction of two new general classes of bivariate distributions based on stochastic orders",
abstract = "In this paper, based on the concepts of stochastic orders, we propose two new general classes of bivariate distributions. The usual stochastic order and likelihood ratio order are applied to construct the classes. The joint distributions in each class are derived. It will be seen that the obtained formulas for the joint distributions are very simple and easy to apply. Then, the relationships between the classes are discussed and characterized. We illustrate the practical usefulness of the proposed classes by showing that a number of new families of bivariate distributions can be generated from the classes. Furthermore, to illustrate practical relevance, we apply several developed models to analyze a real bivariate failure time data set.",
keywords = "Bivariate lack of memory property, Characterization, Likelihood ratio order, Parametric family, Usual stochastic order",
author = "Hyunju Lee and Cha, {Ji Hwan}",
note = "Funding Information: The authors would like to thank the associate editor and the referees for valuable comments and constructive suggestions, which have improved the presentation of this paper. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2011-0017338 ). This work was also supported by Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2009-0093827 ). This work was also supported by the BK21 Plus Project through the National Research Foundation of Korea (KRF) funded by the Ministry of Education ( 22A20130011003 ). Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",
year = "2015",
month = dec,
day = "1",
doi = "10.1016/j.jmva.2015.08.003",
language = "English",
volume = "142",
pages = "75--85",
journal = "Journal of Multivariate Analysis",
issn = "0047-259X",
publisher = "Academic Press Inc.",
}