Elements Of Stochastic Modelling

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    Elements of Stochastic Modelling
    By: Konstantin Borovkov
    Publisher:
    WSPC
    Print ISBN: 9789814571166, 9814571164
    eText ISBN: 9789814571180, 9814571180
    Edition: 2nd
    Pages: 500
    Format: EPUB
    Available from $ 46.00 USD
    SKU 9789814571180
    This is the expanded second edition of a successful textbook that provides a broad introduction to important areas of stochastic modelling. The original text was developed from lecture notes for a one-semester course for third-year science and actuarial students at the University of Melbourne. It reviewed the basics of probability theory and then covered the following topics: Markov chains, Markov decision processes, jump Markov processes, elements of queueing theory, basic renewal theory, elements of time series and simulation.
    The present edition adds new chapters on elements of stochastic calculus and introductory mathematical finance that logically complement the topics chosen for the first edition. This makes the book suitable for a larger variety of university courses presenting the fundamentals of modern stochastic modelling. Instead of rigorous proofs we often give only sketches of the arguments, with indications as to why a particular result holds and also how it is related to other results, and illustrate them by examples. Wherever possible, the book includes references to more specialised texts on respective topics that contain both proofs and more advanced material.
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    Contents:
    Introduction
    Basics of Probability Theory
    Markov Chains
    Markov Decision Processes
    The Exponential Distribution and Poisson Process
    Jump Markov Processes
    Elements of Queueing Theory
    Elements of Renewal Theory
    Elements of Time Series

    Advanced undergraduates, graduate students, lecturers and researchers in mathematics, statistics, actuarial sciences and economics.
     

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