Browsing Pure and Applied Mathematics by Subject "2019 Pure and Applied Mathematics Theses"
Now showing items 1-7 of 7
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Foundation of Stochastic Modeling and Applications
(2019-06-22)This thesis presents an overview on the theory of stopping times, martingales and Brownian motion which are the foundations of stochastic modeling. We started with a detailed study of discrete stopping times and their ...
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Integration in Lattice Spaces
(2019-06-22)The goal of this thesis is to extend the notion of integration with respect to a measure to Lattice spaces. To do so the paper is first summarizing the notion of integration with respect to a measure on R. Then, a construction ...
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LaSalle Invariance Principle for Ordinary Differential Equations and Applications
(2019-06-23)The most popular method for studying stability of nonlinear systems is introduced by a Russian Mathematician named Alexander Mikhailovich Lyapunov. His work ”The General Problem of Motion Stability ” published in 1892 ...
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Loss Function in Acturial Science and Estimation
(2019-06-23)The non-life insurance pricing consists of establishing a premium or a tariff paid by the insured to the insurance company in exchange for the risk transfer. A key factor in doing that is properly estimating the distribution ...
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Moore-Penrose Pseudoinverse and Applications.
(AUST, 2019-06-10)An underlying theorem due to Gauss and Lengendre asserts that for an over determined system, there are solutions that minimize kAx − bk 2 which is given by the generalized in-verse of the matrix A even when A is singular ...
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Sobolev Spaces, Embedding Theorems and Applications to PDEs
(2019-06-25)
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Variational Inequality in Hilbert Spaces and their Applications
(2019-06-23)The study of variational inequalities frequently deals with a mapping F from a vector 0 space X or a convex subset of X into its dual X . Let H be a real Hilbert space and a(u, v) be a real bilinear form on H. Assume that ...