Search results
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Title
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A partial posterior p value test for multilevel mediation
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Author
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Cox, Kyle, Kelcey, Benjamin
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Date Created
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2023
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Subjects--Topical
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Statistics, Mathematics
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Description
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A variety of inferential tests are available for single and multilevel mediation but most come with notable limitations that balance tradeoffs between power and Type I error. We extend the partial posterior p value method (p3 method) to test multi...
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Title
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Population Dynamics with Immigration
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Author
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Han, Dan
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Date Created
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2019
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Subjects--Topical
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Mathematics
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Description
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The paper contains the complete analysis of the Galton-Watson models with immigration, including the processes in the random environment, stationary or nonstationary ones. We also study the branching random walk on Zd with immigration and prove th...
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Title
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Quantification of Profile Measurement Data
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Author
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Javidpour, Farid
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Date Created
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2019
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Subjects--Topical
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Mechanical engineering, Mathematics, Civil engineering
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Description
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Parts with complicated freeform shapes have been attracting more attention in industrial applications in recent decades. In most systems, the functional performance of these parts is directly related to the conformity of their profile with the des...
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Title
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Probabilistic Numerical Integration
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Author
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Smalenberger, Kelly
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Date Created
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2020
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Subjects--Topical
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Mathematics
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Description
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In this dissertation, we consider the approximation of unknown or intractable integrals using quadrature, especially when the evaluation of these integrals is considered very costly. This is a central problem both within and without machine learni...
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Title
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QUANTUM RESISTANT REED-MULLER CODES ON McELIECE CRYPTOSYSTEM
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Author
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Elder, Jasmine
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Date Created
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2020
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Subjects--Topical
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Mathematics, Information science
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Description
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Recently, Dr. Wang presented a new post quantum encryption scheme, Random Linear Code-Based Encryption scheme, RLCE, which is a variant to the McEliece encryption scheme. It is already well-known that the McEliece Encryption scheme based upon Reed...
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Title
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Asymptotic Normality of Higher Order Turing Formulae
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Author
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Chang, Jie
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Date Created
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2022
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Subjects--Topical
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Mathematics
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Description
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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...
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Title
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Continue, quit, restart probability model and related problems
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Author
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Steinberg, Constantine
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Date Created
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2011
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Subjects--Topical
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Operations research, Mathematics
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Description
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We discuss a new class of applied probability models. There is a system whose evolution is described by a Markov chain with known transition matrix in a discrete state space. At each moment of a discrete time a decision maker can apply one of thre...
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Title
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Consistency results in the theory of continuous functions and selective separability
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Author
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Barman, Doyel
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Date Created
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2011
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Subjects--Topical
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Mathematics
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Description
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We study of the notion of selective separability(SS), which was introduced by Marion Scheepers, and its connection with the game-theoretic strengthening, strategically selective separable spaces (SS+). It is known that every set of countable &pi-w...
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Title
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A MESHLESS METHOD WITH ENRICHED BASIS FUNCTIONS FOR SINGULARITY PROBLEMS
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Author
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Hong, Won-Tak
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Date Created
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2009
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Subjects--Topical
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Mechanical engineering, Mechanics, Mathematics
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Description
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For the last several decades, the Finite Element Method (FEM) has been a powerful tool in solving challenging science and engineering problems, especially when solution domains have complex geometry. However the mesh refinements and construction o...
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Title
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Asymptotic Normality of Entropy Estimators
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Author
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Zhang, Xing
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Date Created
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2013
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Subjects--Topical
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Mathematics
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Description
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Shannon's entropy plays a central role in many fields of mathematics. In the first chapter, we present a sufficient condition for the asymptotic normality of the plug-in estimator of Shannon's entropy defined on a countable alphabet. The sufficien...
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Title
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A CONVERTIBLE-BOND-PRICING METHOD BASED ON BOND PRICES ON MARKETS
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Author
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Shi, Qiang
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Date Created
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2011
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Subjects--Topical
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Mathematics
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Description
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ABSTRACTQIANG SHI. A convertible-bond-pricing method based on bond prices on markets.(Under the direction of DR. YOU-LAN ZHU)This thesis is devoted to evaluating two-factor convertible bonds. Different zero-coupon bond curves are inputted when eva...
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Title
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An Integrated Phylogeographic Analysis of the Bantu Migration
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Author
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Ford, Colby
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Date Created
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2018
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Subjects--Topical
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Computer science, Mathematics, Genetics
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Description
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"Bantu" is a term used to describe lineages of people in around 600 different ethnic groups on the African continent ranging from modern-day Cameroon to South Africa. The migration of the Bantu people, which occurred around 3,000 years ago, was in...