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Asymptotic Normality of Higher Order Turing Formulae
Title
Asymptotic Normality of Higher Order Turing Formulae
Author
Chang, Jie
Date Created
2022
Subjects--Topical
Mathematics
Description
Higher order Turing formulae, denoted as Tr for r ∈ Z+, are a powerful result allowing one to estimate the total probability associated with words from a random piece of writing, which have been observed exactly r times in a random sample. In part...
ESTIMATES FOR THE NUMBER OF EIGENVALUES OF NON-SELF-ADJOINT OPERATORS
Title
ESTIMATES FOR THE NUMBER OF EIGENVALUES OF NON-SELF-ADJOINT OPERATORS
Author
Hulko, Artem
Date Created
2018
Subjects--Topical
Mathematics
Description
In this dissertation we find estimates for the total number of eigenvalues of non-self-adjoint operators. We consider five different operators, three of them discrete and two continuous. Discrete operators are as follows: Schrödinger operator defi...
On the Infinite Divisibility and Non Infinite Divisibility of Certain Classes of Random Variables
Title
On the Infinite Divisibility and Non Infinite Divisibility of Certain Classes of Random Variables
Author
Stukes, George
Date Created
2023
Subjects--Topical
Mathematics
Description
In this dissertation we present new results on the classification of limit distributions of random geometric processes. In particular, that develop on the work of Penrose and Wade, who were the first to document the phenomenon of infinite divisibi...