TY - JOUR JF - JSS JO - JSS VL - 3 IS - 2 PY - 2010 Y1 - 2010/3/01 TI - Another Family of Bivariate Distributions with Equivalent Independence and Uncorrelation TT - خانواده ای دیگر از توزیع های دو متغیره با استقلال و همبستگی معادل N2 - Considering the characteristics of the bivariate normal distribution, in which uncorrelation of two random variables is equivalent to their independence, it is interesting to verify this issue in other distributions in other words whether or not the multivariate normal distribution is the only distribution in which uncorrelation is equivalent to independence. This paper aims to answer this question by presenting some concepts and introduce another family in which uncorrelation is equivalent to independence. SP - 209 EP - 2220 AU - Hashemi, Reza AU - Barmalzan, Ghobad AU - Haidari, Abedin AD - Department of Statsitics, Razi University, Kermanshah, Iran. KW - Exchangeability KW - Farlie-Gumbel-Morgenstern family KW - Independence KW - Multivariate normal distribution KW - Uncorrelation. UR - http://jss.irstat.ir/article-1-44-en.html ER -