Probability Models for DNA Sequence Evolution

• Main Author: Klenke, Achim.
• Format: Book
• Language: English
• Published: Springer 2017
• Subjects: Mathematics; Statistics; Probability Theory; Toán học; Lý thuyết xác suất
• Online Access: http://repository.vnu.edu.vn/handle/VNU_123/25920
• Institution: Vietnam National University, Hanoi

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.