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Stochastic Models and Applications Assignment help


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Topics for Stochastic Models and Applications


Probability, Random Variables , Survey of Discrete and Continuous Distributions, Multivariate Probability, Sums of Independent Random Variables, Survival Models, Random Variables, Parametric Survival Models, Life Insurance Models, Discrete Stochastic Models, Continuous Stochastic Models, Life Annuity Models, Markov Chain

  • probability, statistics, Homogeneous Poisson processes, non-homogeneous Poisson processes, Discrete Markov chains, continuous Markov chains, Renewal processes, Brownian motion, Application of stochastic models , Problem solving skills involving stochastic calculations, Discrete time Markov chains, Chapman-Kolmogorov equations, Classification of States, Long run behavior of Markov chains, Absorption probabilities , expected times to absorption, Statistical aspects of Markov chains, mover stayer model, Continuous time Markov chains, Poisson process, Kolmogorov differential equations
  • Limiting behavior of continuous time Markov chains, Birth and death processes, Statistical aspects , applications of continuous time Markov chains, Discrete time martingales, Conditional expectation, Optional stopping theorem, Applications to random walks, Brownian Motion , generalizations, Motivation, definition and properties of Brownian motion, Geometric Brownian motion, Continuous time martingales, Optional stopping theorem, martingales , generalizations of Brownian motion, Stochastic calculus, Stochastic integration, Black-Scholes

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