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  • 1
    Book
    Book
    London : Springer
    UID:
    gbv_336458940
    Format: VIII, 256 S , graph. Darst , 24 cm
    ISBN: 1852334312
    Series Statement: Springer undergraduate mathematics series
    Note: Literaturverz. S. 227 - 228
    Additional Edition: Online-Ausg. Haigh, John Probability Models London : Springer, 2002 ISBN 9781447101697
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Stochastisches Modell ; Bayes-Entscheidungstheorie ; Markov-Ketten-Monte-Carlo-Verfahren ; Lehrbuch ; Bibliografie
    URL: Cover
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  • 2
    Online Resource
    Online Resource
    London :Springer London :
    UID:
    almahu_9947362721402882
    Format: VIII, 256 p. , online resource.
    ISBN: 9781447101697
    Series Statement: Springer Undergraduate Mathematics Series,
    Content: Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability via dice and cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. No specific knowledge of the subject is assumed, only a familiarity with the notions of calculus, and the summation of series. Where the full story would call for a deeper mathematical background, the difficulties are noted and appropriate references given. The main topics arise naturally, with definitions and theorems supported by fully worked examples and some 200 set exercises, all with solutions.
    Note: 1. Probability Spaces -- 1.1 Introduction -- 1.2 The Idea of Probability -- 1.3 Laws of Probability -- 1.4 Consequences -- 1.5 Equally Likely Outcomes -- 1.6 The Continuous Version -- 1.7 Intellectual Honesty -- 2. Conditional Probability and Independence -- 2.1 Conditional Probability -- 2.2 Bayes’ Theorem -- 2.3 Independence -- 2.4 The Borel-Cantelli Lemmas -- 3. Common Probability Distributions -- 3.1 Common Discrete Probability Spaces -- 3.2 Probability Generating Functions -- 3.3 Common Continuous Probability Spaces -- 3.4 Mixed Probability Spaces -- 4. Random Variables -- 4.1 The Definition -- 4.2 Discrete Random Variables -- 4.3 Continuous Random Variables -- 4.4 Jointly Distributed Random Variables -- 4.5 Conditional Expectation -- 5. Sums of Random Variables -- 5.1 Discrete Variables -- 5.2 General Random Variables -- 5.3 Records -- 6. Convergence and Limit Theorems -- 6.1 Inequalities -- 6.2 Convergence -- 6.3 Limit Theorems -- 6.4 Summary -- 7. Stochastic Processes in Discrete Time -- 7.1 Branching Processes -- 7.2 Random Walks -- 7.3 Markov Chains -- 8. Stochastic Processes in Continuous Time -- 8.1 Markov Chains in Continuous Time -- 8.2 Queues -- 8.3 Renewal Theory -- 8.4 Brownian Motion: The Wiener Process -- 9. Appendix: Common Distributions and Mathematical Facts -- 9.1 Discrete Distributions -- 9.2 Continuous Distributions -- 9.3 Miscellaneous Mathematical Facts -- Solutions.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9781852334314
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    Online Resource
    Online Resource
    London : Springer London
    UID:
    b3kat_BV042419344
    Format: 1 Online-Ressource (VIII, 256p. 15 illus)
    ISBN: 9781447101697 , 9781852334314
    Series Statement: Springer Undergraduate Mathematics Series
    Note: Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability via dice and cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. No specific knowledge of the subject is assumed, only a familiarity with the notions of calculus, and the summation of series. Where the full story would call for a deeper mathematical background, the difficulties are noted and appropriate references given. The main topics arise naturally, with definitions and theorems supported by fully worked examples and some 200 set exercises, all with solutions
    Language: English
    Keywords: Stochastisches Modell
    Library Location Call Number Volume/Issue/Year Availability
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  • 4
    Online Resource
    Online Resource
    London : Springer
    UID:
    gbv_1655429337
    Format: Online-Ressource (VIII, 256p. 15 illus, online resource)
    ISBN: 9781447101697
    Series Statement: Springer Undergraduate Mathematics Series
    Content: Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability via dice and cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. No specific knowledge of the subject is assumed, only a familiarity with the notions of calculus, and the summation of series. Where the full story would call for a deeper mathematical background, the difficulties are noted and appropriate references given. The main topics arise naturally, with definitions and theorems supported by fully worked examples and some 200 set exercises, all with solutions
    Additional Edition: ISBN 9781852334314
    Additional Edition: Druckausg. Haigh, John Probability models London : Springer, 2002 ISBN 1852334312
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Stochastisches Modell ; Stochastisches Modell
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    Library Location Call Number Volume/Issue/Year Availability
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