Date of Award
9-2010
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics
Supervisor
Shui Feng
Language
English
Abstract
In this thesis, I endeavor to solve the remaining problem in Dr.Feng's paper[8], where Dr.Feng obtain the Large Deviation Principle of the following distribution
[equation removed]
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Generally speaking, the Large Deviation Principle can yield the limit distribution if its rate function has only one zero point. Unfortunately, however, the rate function in [8] involves another parameter λ. When θ(a) = -log α, λ = -k(k + l), k ≥ 1, the rate function has exactly two zero points, thus by way of the Large Deviation Principle, we can hardly know its limit distribution. Therefore, I try to figure out another way to find it. Since PD(α)(dx) is the limit of the ordered Dirichlet distribution [equation removed] as K → +∞, then IIαλ(dx) is the limit of [equation removed] I only find the limit of [equation removed] which is the case when K = 2, θ(α) = -log α, λ < 0. The result is quite unexpected!
Recommended Citation
Zhou, Youzhou, "THE LIMITS OF CERTAIN PROBABILITY DISTRIBUTIONS ASSOCIATED WITH THE WRIGHT-FISHER MODEL" (2010). Open Access Dissertations and Theses. Paper 4430.
http://digitalcommons.mcmaster.ca/opendissertations/4430
McMaster University Library