Author | Ewens, Warren J. author |
---|---|
Title | Statistical Methods in Bioinformatics [electronic resource] : An Introduction / by Warren J. Ewens, Gregory R. Grant |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2001 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-3247-4 |
Descript | XIX, 476 p. online resource |
1 Probability Theory (i): One Random Variable -- 2 Probability Theory (ii): Many Random Variables -- 3 Statistics (i): An Introduction to Statistical Inference -- 4 Stochastic Processes (i): Poisson Processes and Markov Chains -- 5 The Analysis of One DNA Sequence -- 6 The Analysis of Multiple DNA or Protein Sequences -- 7 Stochastic Processes (ii): Random Walks -- 8 Statistics (ii): Classical Estimation and Hypothesis Testing -- 9 BLAST -- 10 Stochastic Processes (iii): Markov Chains -- 11 Hidden Markov Models -- 12 Computationally Intensive Methods -- 13 Evolutionary Models -- 14 Phylogenetic Tree Estimation -- A Basic Notions in Biology -- B Mathematical Formulae and Results -- B.1 Numbers and Intervals -- B.2 Sets and Set Notation -- B.3 Factorials -- B.4 Binomial Coefficients -- B.5 The Binomial Theorem -- B.6 Permutations and Combinations -- B.7 Limits -- B.8 Asymptotics -- B.9 Stirlingโs Approximation -- B.10 Entropy as Information -- B.11 Infinite Series -- B.12 Taylor Series -- B.13 Uniqueness of Taylor series -- B.14 Laurent Series -- B.15 Numerical Solutions of Equations -- B.16 Statistical Differentials -- B.17 The Gamma Function -- B.18 Proofs by Induction -- B.19 Linear Algebra and Matrices -- C Computational Aspects of the Binomial and Generalized Geometric Distribution Functions -- D BLAST: Sums of Normalized Scores -- References -- Author Index