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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Klenke, Achim.
التنسيق: كتاب
اللغة:English
منشور في: Springer 2017
الموضوعات:
الوصول للمادة أونلاين:http://repository.vnu.edu.vn/handle/VNU_123/25920
الوسوم: إضافة وسم
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المؤسسة: Vietnam National University, Hanoi
اللغة: English
الوصف
الملخص: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.