Probability Models for DNA Sequence Evolution
Basic Measure Theory -- Independence -- Generating Functions -- The Integral -- Moments and Laws of Large Numbers -- Convergence Theorems -- Lp-Spaces and Radon-Nikodym Theorem -- Conditional Expectations -- Martingales -- Optional Sampling Theorems -- Martingale Convergence Theorems and their Appli...
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主要作者: | |
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格式: | 圖書 |
語言: | English |
出版: |
Springer
2017
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主題: | |
在線閱讀: | http://repository.vnu.edu.vn/handle/VNU_123/25920 |
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機構: | Vietnam National University, Hanoi |
語言: | English |
總結: | Basic Measure Theory -- Independence -- Generating Functions -- The Integral -- Moments and Laws of Large Numbers -- Convergence Theorems -- Lp-Spaces and Radon-Nikodym Theorem -- Conditional Expectations -- Martingales -- Optional Sampling Theorems -- Martingale Convergence Theorems and their Applications -- Backwards Martingales and Exchangeability -- Convergence of Measures -- Probability Measures on Product Spaces -- Characteristics Functions and Central Limit Theorem -- Infinitely Divisible Distributions -- Markov Chains -- Convergence of Markov Chains -- Markov Chains and Electrical Networks -- Ergodic Theory -- Brownian Motion -- Law of the Iterated Logarithm -- Large Deviations -- The Poisson Point Process -- The Itô Integral -- Stochastic Differential Equations -- References -- Notation Index -- Name Index -- Subject Index. |
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