Topics in Stochastic Analysis and Nonparametric Estimation

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DOI: 10.1007/978-0-387-75111-5

关键词: Mathematical analysisStochastic processMarkov chain approximation methodAsymptotic analysisStochastic partial differential equationMathematicsStochastic differential equationNumerical analysisParabolic partial differential equationSobolev space

摘要: Asymptotic Analysis Involving Stochastic Differential Equations.- Some Recent Results on Averaging Principle.- Cramer's Theorem for Nonnegative Multivariate Point Processes with Independent Increments.- On Bounded Solutions of the Balanced Generalized Pantograph Equation.- Numerical Methods Non-Zero-Sum Games: Convergence Markov Chain Approximation Method.- Nonparametric Estimation.- Estimation an Analytic Spectral Density Outside Observation Band.- Oracle Inequalities Related to High Dimensional Linear Models.- Hypothesis Testing under Composite Functions Alternative.- Partial Parabolic Pdes and Spdes in Sobolev Spaces W P 2 without Weights.- Equations Full Second Order.

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