ANOTHER FAMILY OF BIVARIATE DISTRIBUTIONS WITH EQUIVALENT INDEPENDENCE AND UNCORRELATION

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HASHEMI R.; BARMALZAN G.; HEYDARI A.

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Journal: JOURNAL OF STATISTICAL SCIENCES Year:2010 | Volume:3 | Issue:2 Page(s): 211-222

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Title

ANOTHER FAMILY OF BIVARIATE DISTRIBUTIONS WITH EQUIVALENT INDEPENDENCE AND UNCORRELATION

Author(s)

HASHEMI R. | BARMALZAN G. | HEYDARI A. | Issue Writer Certificate

Keywords

EXCHANGEABILITYQ3

FARLIE-GUMBEL-MORGENSTERN FAMILYQ3

INDEPENDENCEQ3

MULTIVARIATE NORMAL DISTRIBUTIONQ3

UNCORRELATIONQ3

Abstract

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.

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APA: Copy

HASHEMI, R., BARMALZAN, G., & HEYDARI, A.. (2010). ANOTHER FAMILY OF BIVARIATE DISTRIBUTIONS WITH EQUIVALENT INDEPENDENCE AND UNCORRELATION. JOURNAL OF STATISTICAL SCIENCES, 3(2), 211-222. SID. https://sid.ir/paper/124074/en

Vancouver: Copy

HASHEMI R., BARMALZAN G., HEYDARI A.. ANOTHER FAMILY OF BIVARIATE DISTRIBUTIONS WITH EQUIVALENT INDEPENDENCE AND UNCORRELATION. JOURNAL OF STATISTICAL SCIENCES[Internet]. 2010;3(2):211-222. Available from: https://sid.ir/paper/124074/en

IEEE: Copy

R. HASHEMI, G. BARMALZAN, and A. HEYDARI, “ANOTHER FAMILY OF BIVARIATE DISTRIBUTIONS WITH EQUIVALENT INDEPENDENCE AND UNCORRELATION,” JOURNAL OF STATISTICAL SCIENCES, vol. 3, no. 2, pp. 211–222, 2010, [Online]. Available: https://sid.ir/paper/124074/en

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