Two Methods for the Expectation in Envelopes Pairing Problem

Lei Qin; Kang Zhou

doi:10.4028/www.scientific.net/AMM.713-715.2016

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 713-715Two Methods for the Expectation in Envelopes...

Two Methods for the Expectation in Envelopes Pairing Problem

Abstract:

This paper introduces two methods for solving the expectation in Envelopes Pairing Problem, one is that the random variable is expressed as the sum of n random variables and then solves its expectation; another method is put forward by this paper, that is, firstly the distribution law is derived from simple cases, then considers problems of general situation, gets the expectation of conjecture by simple cases, finally proves the conjecture with mathematical induction.

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Periodical:

Applied Mechanics and Materials (Volumes 713-715)

Pages:

2016-2019

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.713-715.2016

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Online since:

January 2015

Authors:

Lei Qin*, Kang Zhou

Keywords:

Distribution Law, Envelopes Pairing, Expectation

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References

[1] C.X. Sun, D.Q. Gu and S.Q. Zheng: Solution for probability of pairing problem in classical probability model. Tangshan College Journal, Vol. 22 (2009) No. 3, pp.8-9.

Google Scholar

[2] N.H. Kuang: On direct methods to the mathematical expectation and variance in the matching problem. Journal of Xi 'An Institute of Posts and Telecommunications, Vol. 14 (2009), No. 5, pp.148-150.

Google Scholar

[3] Y.L. Li: Generalization of matching problem. Journal of Jishou University. Vol. 31 (2010), No. 1, pp.27-29.

Google Scholar

[4] W. Feller: An Introduction to Probability and Its Applications. Vol. Ⅰ, 3rd Ed. Wiley, New York. (1968).

Google Scholar

[5] R. Durren,: Probability: Theory and Examples[M], Wadsworth-Brooks/Cole, Pacific Grove. (1991).

Google Scholar