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Stochastic Processes: Theory and Applications

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ISBN: 9783039219629 / 9783039219636 Year: Pages: 216 DOI: 10.3390/books978-3-03921-963-6 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics --- Statistics
Added to DOAB on : 2020-01-07 09:08:26
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Abstract

The aim of this special issue is to publish original research papers that cover recent advances in the theory and application of stochastic processes. There is especial focus on applications of stochastic processes as models of dynamic phenomena in various research areas, such as queuing theory, physics, biology, economics, medicine, reliability theory, and financial mathematics. Potential topics include, but are not limited to: Markov chains and processes; large deviations and limit theorems; random motions; stochastic biological model; reliability, availability, maintenance, inspection; queueing models; queueing network models; computational methods for stochastic models; applications to risk theory, insurance and mathematical finance.

Keywords

measure of information --- cumulative inaccuracy --- mutual information --- lower record values --- parabolic equation --- Cauchy problem --- Monte Carlo method --- unbiased estimator --- von-Neumann–Ulam scheme --- compound poisson insurance risk model --- expected discounted penalty function --- estimation --- Fourier transform --- Fourier-cosine series --- multidimensional birth-death process --- inhomogeneous continuous-time Markov chain --- rate of convergence --- one dimensional projection --- Wiener–Poisson risk model --- survival probability --- Nonparametric threshold estimation --- wet periods --- total precipitation volume --- asymptotic approximation --- extreme order statistics --- random sample size --- testing statistical hypotheses --- queueing systems --- rate of convergence --- non-stationary --- Markovian queueing models --- limiting characteristics --- queuing network --- retrials --- state-dependent marked Markovian arrival process --- wireless telecommunication networks --- time-dependent queue-length probability --- discrete-time Geo/D/1 queue --- closed-form solution --- Monte Carlo method --- quasi-Monte Carlo method --- Koksma-Hlawka inequality --- quasi-random sequences --- stochastic processes --- processor heating and cooling --- markovian arrival process --- phase-type service time distribution --- impatience --- Quasi-Birth-and-Death process --- matrix-geometric solution --- truncated distribution --- Markovian arrival process --- multi-class arrival processes --- product form --- equity-linked death benefits --- Fourier cosine series expansion --- guaranteed minimum death benefit --- option --- valuation --- Lévy process --- compound Poisson risk model --- generalized Gerber–Shiu discounted penalty function --- Laplace transform --- Dickson–Hipp operator --- recursive formula

Current Trends in Symmetric Polynomials with their Applications

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ISBN: 9783039216208 / 9783039216215 Year: Pages: 238 DOI: 10.3390/books978-3-03921-621-5 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2019-12-09 16:10:12
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Abstract

This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions and polynomials.

Keywords

Fubini polynomials --- w-torsion Fubini polynomials --- fermionic p-adic integrals --- symmetric identities --- Chebyshev polynomials --- sums of finite products --- hypergeometric function --- Fubini polynomials --- Euler numbers --- symmetric identities --- elementary method --- computational formula --- two variable q-Berstein polynomial --- two variable q-Berstein operator --- q-Euler number --- q-Euler polynomial --- Fubini polynomials --- Euler numbers --- congruence --- elementary method --- q-Bernoulli numbers --- q-Bernoulli polynomials --- two variable q-Bernstein polynomials --- two variable q-Bernstein operators --- p-adic integral on ?p --- the degenerate gamma function --- the modified degenerate gamma function --- the degenerate Laplace transform --- the modified degenerate Laplace transform --- Fibonacci --- Lucas --- linear form in logarithms --- continued fraction --- reduction method --- sums of finite products of Chebyshev polynomials of the third and fourth kinds --- Hermite --- generalized Laguerre --- Legendre --- Gegenbauer --- Jacobi --- third-order character --- classical Gauss sums --- rational polynomials --- analytic method --- recursive formula --- fermionic p-adic q-integral on ?p --- q-Euler polynomials --- q-Changhee polynomials --- symmetry group --- Apostol-type Frobenius–Euler polynomials --- three-variable Hermite polynomials --- symmetric identities --- explicit relations --- operational connection --- q-Volkenborn integral on ?p --- Bernoulli numbers and polynomials --- generalized Bernoulli polynomials and numbers of arbitrary complex order --- generalized Bernoulli polynomials and numbers attached to a Dirichlet character ? --- Changhee polynomials --- Changhee polynomials of type two --- fermionic p-adic integral on ?p --- Chebyshev polynomials of the first, second, third, and fourth kinds --- sums of finite products --- representation --- catalan numbers --- elementary and combinatorial methods --- recursive sequence --- convolution sums --- well-posedness --- stability --- acoustic wave equation --- perfectly matched layer --- Fibonacci polynomials --- Lucas polynomials --- trivariate Fibonacci polynomials --- trivariate Lucas polynomials --- generating functions --- central incomplete Bell polynomials --- central complete Bell polynomials --- central complete Bell numbers --- Legendre polynomials --- Laguerre polynomials --- generalized Laguerre polynomials --- Gegenbauer polynomials --- hypergeometric functions 1F1 and 2F1 --- Euler polynomials --- Bernoulli polynomials --- elementary method --- identity --- congruence --- new sequence --- Catalan numbers --- elementary and combinatorial methods --- congruence --- conjecture --- fluctuation theorem --- thermodynamics of information --- stochastic thermodynamics --- mutual information --- non-equilibrium free energy --- entropy production

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MDPI - Multidisciplinary Digital Publishing Institute (2)


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CC by-nc-nd (2)


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eng (2)


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2019 (2)