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Stochastic processes --- Probabilities --- Probabilities. --- Probabilities - Problems, exercises, etc.
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Derived from extensive teaching experience in Paris, this second edition now includes over 100 exercises in probability. New exercises have been added to reflect important areas of current research in probability theory, including infinite divisibility of stochastic processes, past-future martingales and fluctuation theory. For each exercise the authors provide detailed solutions as well as references for preliminary and further reading. There are also many insightful notes to motivate the student and set the exercises in context. Students will find these exercises extremely useful for easing the transition between simple and complex probabilistic frameworks. Indeed, many of the exercises here will lead the student on to frontier research topics in probability. Along the way, attention is drawn to a number of traps into which students of probability often fall. This book is ideal for independent study or as the companion to a course in advanced probability theory.
Probabilities --- Probabilités --- Problems, exercises, etc. --- Problèmes et exercices --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk
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This book was first published in 2003. Derived from extensive teaching experience in Paris, this book presents around 100 exercises in probability. The exercises cover measure theory and probability, independence and conditioning, Gaussian variables, distributional computations, convergence of random variables, and random processes. For each exercise the authors have provided detailed solutions as well as references for preliminary and further reading. There are also many insightful notes to motivate the student and set the exercises in context. Students will find these exercises extremely useful for easing the transition between simple and complex probabilistic frameworks. Indeed, many of the exercises here will lead the student on to frontier research topics in probability. Along the way, attention is drawn to a number of traps into which students of probability often fall. This book is ideal for independent study or as the companion to a course in advanced probability theory.
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Random walks (Mathematics) --- Additive process (Probability theory) --- Random walk process (Mathematics) --- Walks, Random (Mathematics) --- Stochastic processes --- Rutes aleatòries (Matemàtica) --- Processos de Lévy --- Passeigs aleatoris (Matemàtica) --- Processos additius (Teoria de la probabilitat) --- Processos de trajectòries aleatòries (Matemàtica) --- Recorreguts aleatoris (Matemàtica) --- Trajectòries aleatòries (Matemàtica) --- Anàlisi matemàtica --- Anàlisi numèrica --- Física matemàtica --- Processos estocàstics
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Injections --- Animals, Laboratory --- Blood Specimen Collection
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Eaux gazeuses --- Boissons gazeuses --- Eaux gazeuses --- Boissons gazeuses
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