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The book presents a systematic exposition of the basic theory and applications of stochastic models.Emphasising the modelling rather than mathematical aspects of stochastic processes, the book bridges the gap between the theory and applications of these processes.The basic building blocks of model construction are explained in a step by step manner, starting from the simplest model of random walk and proceeding gradually to more complicated models. Several examples are given throughout the text to illustrate important analytical properties as well as to provide applications.The book also includes a detailed chapter on Inference for stochastic processes. This chapter highlights some of the recent developments in the subject and explains them through illustrative examples.An important feature of the book is the Complements and Problems section at the end of each chapter which presents (i) additional properties of the model, (ii) extensions of the model, and (iii) applications of the model to different areas.With all these features, this is an invaluable text for postgraduate students of statistics, mathematics and operation research.
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