A LOOK AT P (X>Y) IN THE BINOMIAL CASE

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BEHBOODIAN JAVAD

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2006 | Volume:1 | Issue:1 Page(s): 1-9

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Information Journal Paper

Title

A LOOK AT P (X>Y) IN THE BINOMIAL CASE

Author(s)

BEHBOODIAN JAVAD | Issue Writer Certificate

Keywords

BINOMIAL VARIABLEQ2

COMBINATORIAL IDENTITIESQ2

CONDITIONAL PROBABILITYQ2

CENTRAL LIMIT THEOREMQ2

Abstract

In this article we consider P (X>Y) for two in dependent random variables X~B (n+m, p1) and Y~B (n, p2).This is a useful measure in biomedical studies and engineering reliability. The calculation of this probability is discussed by using a combinatorial identity and the approximate value of that is given when n is large. Finally some special cases are discussed.

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APA: Copy

BEHBOODIAN, JAVAD. (2006). A LOOK AT P (X>Y) IN THE BINOMIAL CASE. JOURNAL OF MATHEMATICAL EXTENSION, 1(1), 1-9. SID. https://sid.ir/paper/240016/en

Vancouver: Copy

BEHBOODIAN JAVAD. A LOOK AT P (X>Y) IN THE BINOMIAL CASE. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2006;1(1):1-9. Available from: https://sid.ir/paper/240016/en

IEEE: Copy

JAVAD BEHBOODIAN, “A LOOK AT P (X>Y) IN THE BINOMIAL CASE,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 1, no. 1, pp. 1–9, 2006, [Online]. Available: https://sid.ir/paper/240016/en

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