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|a (OCoLC)979159433
|z (OCoLC)978502988
|z (OCoLC)978861005
|z (OCoLC)978866596
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|a QA274.23
|b .P365 2017
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0 |
4 |
|a 519.22
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| 049 |
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|a UAMI
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| 100 |
1 |
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|a Panik, Michael J.
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| 245 |
1 |
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|a Stochastic Growth Equations :
|b Mathematics and Modeling.
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| 260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2017.
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| 300 |
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|a 1 online resource (306 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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0 |
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|a Print version record.
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| 505 |
8 |
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|6 880-01
|a 1.10 Set and Measure Functions1.10.1 Set Functions; 1.10.2 Measure Functions; 1.10.3 Outer Measure Functions; 1.10.4 Complete Measure Functions; 1.10.5 Lebesgue Measure; 1.10.6 Measurable Functions; 1.10.7 Lebesgue Measurable Functions; 1.11 Normed Linear Spaces; 1.11.1 Space of Bounded Real-Valued Functions; 1.11.2 Space of Bounded Continuous Real-Valued Functions; 1.11.3 Some Classical Banach Spaces; 1.12 Integration; 1.12.1 Integral of a Non-negative Simple Function; 1.12.2 Integral of a Non-negative Measurable Function Using Simple Functions; 1.12.3 Integral of a Measurable Function.
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| 505 |
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|a 1.12.4 Integral of a Measurable Function on a Measurable Set1.12.5 Convergence of Sequences of Functions; Chapter 2 Mathematical Foundations 2: Probability, Random Variables, and Convergence of Random Variables; 2.1 Probability Spaces; 2.2 Probability Distributions; 2.3 The Expectation of a Random Variable; 2.3.1 Theoretical Underpinnings; 2.3.2 Computational Considerations; 2.4 Moments of a Random Variable; 2.5 Multiple Random Variables; 2.5.1 The Discrete Case; 2.5.2 The Continuous Case; 2.5.3 Expectations and Moments; 2.5.4 The Multivariate Discrete and Continuous Cases.
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|a 2.6 Convergence of Sequences of Random Variables2.6.1 Almost Sure Convergence; 2.6.2 Convergence in Lp, p>0; 2.6.3 Convergence in Probability; 2.6.4 Convergence in Distribution; 2.6.5 Convergence of Expectations; 2.6.6 Convergence of Sequences of Events; 2.6.7 Applications of Convergence of Random Variables; 2.7 A Couple of Important Inequalities; Appendix 2.A The Conditional Expectation E(X|Y); Chapter 3 Mathematical Foundations 3: Stochastic Processes, Martingales, and Brownian Motion; 3.1 Stochastic Processes; 3.1.1 Finite-Dimensional Distributions of a Stochastic Process.
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| 505 |
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|a 3.1.2 Selected Characteristics of Stochastic Processes3.1.3 Filtrations of A; 3.2 Martingales; 3.2.1 Discrete-Time Martingales; 3.2.1.1 Discrete-Time Martingale Convergence; 3.2.2 Continuous-Time Martingales; 3.2.2.1 Continuous-Time Martingale Convergence; 3.2.3 Martingale Inequalities; 3.3 Path Regularity of Stochastic Processes; 3.4 Symmetric Random Walk; 3.5 Brownian Motion; 3.5.1 Standard Brownian Motion; 3.5.2 BM as a Markov Process; 3.5.3 Constructing BM; 3.5.3.1 BM Constructed from N(0, 1) Random Variables; 3.5.3.2 BM as the Limit of Symmetric Random Walks; 3.5.4 White Noise Process.
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| 500 |
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|a Appendix 3.A Kolmogorov Existence Theorem: Another Look.
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| 504 |
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|a Includes bibliographical references and index.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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0 |
|a Stochastic differential equations.
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| 650 |
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6 |
|a Équations différentielles stochastiques.
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| 650 |
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7 |
|a Stochastic differential equations
|2 fast
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| 776 |
0 |
8 |
|i Print version:
|a Panik, Michael J.
|t Stochastic Growth Equations : Mathematics and Modeling.
|d Newark : John Wiley & Sons, Incorporated, ©2017
|z 9781119377382
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| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4825791
|z Texto completo
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| 880 |
0 |
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|6 505-01/(S
|a Title Page ; Copyright Page ; Contents; Dedication ; Preface; Symbols and Abbreviations; Chapter 1 Mathematical Foundations 1: Point-Set Concepts, Set and Measure Functions, Normed Linear Spaces, and Integration; 1.1 Set Notation and Operations; 1.1.1 Sets and Set Inclusion; 1.1.2 Set Algebra; 1.2 Single-Valued Functions; 1.3 Real and Extended Real Numbers; 1.4 Metric Spaces; 1.5 Limits of Sequences; 1.6 Point-Set Theory; 1.7 Continuous Functions; 1.8 Operations on Sequences of Sets; 1.9 Classes of Subsets of Omega; 1.9.1 Topological Space; 1.9.2 σ-Algebra of Sets and the Borel σ-Algebra.
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