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DC Field | Value | Language |
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dc.contributor.advisor | Feng, Shui | - |
dc.contributor.author | Agbewu, Bright Mawusi Komla | - |
dc.date.accessioned | 2020-01-02T19:28:06Z | - |
dc.date.available | 2020-01-02T19:28:06Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | http://hdl.handle.net/11375/25133 | - |
dc.description.abstract | Consider a population of m-type individuals labelled by {1,2,...,m}. Let x=(x_1,x_2,...,x_m) denote the relative frequencies of all types with x_i denoting the relative frequency of type i for 1<i<m. For a random sample of size 2 from the population, the probability that the individuals of the sample are of the same type is given by H= sum of the squares of x_i's up to m. In this thesis, we focus on the case where x = (x_1,x_2,...x_m) is a random vector. The quantity H appears in various fields of study. For instance, it is associated with the Shannon entropy in communication, the Herfindahl-Hirschman index in economics and known as the homozygosity in population genetics. In Feng (2010), fluctuation theorems for the infinite dimensional case of H are considered. In this thesis we present, under a moment assumption, a Central Limit Theorem (CLT) associated with H and present as examples the Gamma subordinator case, which is a well known result by Griffiths (1979), and the generalized Gamma subordinator case. | en_US |
dc.language.iso | en | en_US |
dc.subject | subordinators, Stein's method | en_US |
dc.title | Central Limit Theorem of Some Statistics Associated with Self-Normalized Subordinators | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | Statistics | en_US |
dc.description.degreetype | Thesis | en_US |
dc.description.degree | Master of Science (MSc) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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Agbewu_Bright_MK_201912_MSc.pdf | 342.98 kB | Adobe PDF | View/Open |
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