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Stochastic processes --- Martingales (Mathematics) --- Probabilities --- Martingales (Mathématiques) --- Probabilités --- Probabilities. --- Martingales (Mathématiques) --- Probabilités
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Stochastic processes --- Martingales (Mathematics) --- Stochastic integrals --- Martingales (Mathématiques) --- Martingales (Mathématiques) --- Analyse mathématique --- Probabilités
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Stochastic processes --- Martingales (Mathematics) --- Point processes --- Martingales (Mathématiques) --- Processus ponctuels --- Martingales (Mathématiques)
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This volume gives a unified presentation of stochastic analysis for continuous and discontinuous stochastic processes, in both discrete and continuous time. It is mostly self-contained and accessible to graduate students and researchers having already received a basic training in probability. The simultaneous treatment of continuous and jump processes is done in the framework of normal martingales; that includes the Brownian motion and compensated Poisson processes as specific cases. In particular, the basic tools of stochastic analysis (chaos representation, gradient, divergence, integration by parts) are presented in this general setting. Applications are given to functional and deviation inequalities and mathematical finance.
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Stochastic processes --- Martingalen (Wiskunde) --- Probabiliteit--Theorie --- Probabiliteitstheorie --- Probabilité [Théorie de la ] --- Waarschijnlijkheid--Theorie --- Waarschijnlijkheidstheorie --- Probabilités --- Martingales (Mathematiques) --- Martingales (Mathematics). --- Probability. --- Probabilities --- Martingales (Mathematics) --- Martingales (Mathématiques)
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Ordinary differential equations --- Stochastic processes --- Differentiaalvergelijkingen [Stochastische ] --- Equations differentielles stochastiques --- Integralen [Stochastische ] --- Integrales stochastiques --- Integrals [Stochastic ] --- Martingalen (Wiskunde) --- Martingales (Mathematics) --- Martingales (Mathematiques) --- Stochastic differential equations --- Stochastic integrals --- Martingales (Mathématiques) --- Equations différentielles stochastiques --- 519.217 --- Markov processes --- 519.217 Markov processes --- Martingales (Mathématiques) --- Equations différentielles stochastiques --- Differential equations --- Fokker-Planck equation --- Integrals, Stochastic --- Stochastic analysis
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Stochastic processes --- Diffusion processes. --- Control theory. --- Potential theory (Mathematics) --- Martingales (Mathematics) --- Processus de diffusion --- Théorie de la commande --- Potentiel, Théorie du --- Martingales (Mathématiques) --- Théorie de la commande --- Potentiel, Théorie du --- Martingales (Mathématiques) --- Potentiel, Théorie du. --- Martingales (mathématiques) --- Processus de diffusion. --- Commande, Théorie de la.
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Stochastic processes --- Markov processes. --- Martingales (Mathematics) --- Convergence. --- Markov, Processus de. --- Martingales (mathématiques) --- Convergence (mathématiques) --- Convergence --- Markov processes --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Functions
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