ON CLASSIFICATION OF BIVARIATE DISTRIBUTIONS BASED ON MUTUAL INFORMATION

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HABIB ELAH M.; EHSAN ELAH M.

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Journal: JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI) Year:2006 | Volume:3 | Issue:1 Page(s): 91-101

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Title

ON CLASSIFICATION OF BIVARIATE DISTRIBUTIONS BASED ON MUTUAL INFORMATION

Author(s)

HABIB ELAH M. | EHSAN ELAH M. | Issue Writer Certificate

Keywords

MUTUAL INFORMATIONQ4

ENTROPYQ4

SURVIVAL DISTRIBUTIONQ4

BIVARIATE DISTRIBUTIONSQ4

Abstract

Among all measures of independence between random variables, MUTUAL INFORMATION is the only one that is based on information theory. MUTUAL INFORMATION takes into account of all kinds of dependencies between variables, i.e., both the linear and non-linear dependencies. In this paper we have classified some well-known BIVARIATE DISTRIBUTIONS into two classes of distributions based on their MUTUAL INFORMATION. The distributions within each class have the same MUTUAL INFORMATION. These distributions have been used extensively as SURVIVAL DISTRIBUTIONs of two component systems in reliability theory.

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APA: Copy

HABIB ELAH, M., & EHSAN ELAH, M.. (2006). ON CLASSIFICATION OF BIVARIATE DISTRIBUTIONS BASED ON MUTUAL INFORMATION. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), 3(1), 91-101. SID. https://sid.ir/paper/129931/en

Vancouver: Copy

HABIB ELAH M., EHSAN ELAH M.. ON CLASSIFICATION OF BIVARIATE DISTRIBUTIONS BASED ON MUTUAL INFORMATION. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI)[Internet]. 2006;3(1):91-101. Available from: https://sid.ir/paper/129931/en

IEEE: Copy

M. HABIB ELAH, and M. EHSAN ELAH, “ON CLASSIFICATION OF BIVARIATE DISTRIBUTIONS BASED ON MUTUAL INFORMATION,” JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), vol. 3, no. 1, pp. 91–101, 2006, [Online]. Available: https://sid.ir/paper/129931/en

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