RANDOMLY WEIGHTED AVERAGE WITH BETA RANDOM PROPORTION

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Homei h.; Salimpoor R.; Hamel Darbandi M.

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

RANDOMLY WEIGHTED AVERAGE WITH BETA RANDOM PROPORTION

Author(s)

Homei h. | Salimpoor R. | Hamel Darbandi M. | Issue Writer Certificate

Keywords

ARCSIN

CAUCHY

RANDOM PROPORTION

STIELTJES TRANSFORM

SCHWARTZ THEORY

WEIGHTED AVERAGE

Abstract

A WEIGHTED AVERAGE OF TWO INDEPENDENT CONTINUOUS RANDOM VARIABLES X1 AND X2 WITH RANDOM PROPORTIONS OBTAINED BY BETA DISTRIBUTION IS INTRODUCED. A FORMULA BETWEEN THE STIELTJES TRANSFORMS OF THE DISTRIBUTION FUNCTIONS OF THE WEIGHTED AVERAGE AND X1 AND X2 IS ESTABLISHED. WE REVIEW VAN ASSCHE’S RESULTS AND RELATED ISSUES FOR THIS WEIGHTED AVERAGE AND WE ALSO FIND CHARACTERIZATIONS FOR BETA, CAUCHY, ARCSIN, SEMICIRCLE AND POWER SEMICIRCLE DISTRIBUTIONS.

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APA: Copy

Homei, h., Salimpoor, R., & Hamel Darbandi, M.. (2012). RANDOMLY WEIGHTED AVERAGE WITH BETA RANDOM PROPORTION. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/925021/en

Vancouver: Copy

Homei h., Salimpoor R., Hamel Darbandi M.. RANDOMLY WEIGHTED AVERAGE WITH BETA RANDOM PROPORTION. 2012. Available from: https://sid.ir/paper/925021/en

IEEE: Copy

h. Homei, R. Salimpoor, and M. Hamel Darbandi, “RANDOMLY WEIGHTED AVERAGE WITH BETA RANDOM PROPORTION,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/925021/en

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