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Prediction of complete gene structures in human genomic DNA.
We introduce a general probabilistic model of the gene structure of human genomic sequences which incorporates descriptions of the basic transcriptional, translational and splicing signals, as wellExpand
A second course in stochastic processes
Preface. Preface to A First Course. Preface to First Edition. Contents of A First Course. Algebraic Methods in Markov Chains. Ratio Theorems of Transition Probabilities and Applications. Sums ofExpand
A First Course on Stochastic Processes
TLDR
The Basic Limit Theorem of Markov Chains and Applications and Classical Examples of Continuous Time Markov chains are presented. Expand
Methods for assessing the statistical significance of molecular sequence features by using general scoring schemes.
  • S. Karlin, S. Altschul
  • Biology, Medicine
  • Proceedings of the National Academy of Sciences…
  • 1 March 1990
TLDR
Using an appropriate random model, this work presents a theory that provides precise numerical formulas for assessing the statistical significance of any region with high aggregate score and examples are given of applications to a variety of protein sequences, highlighting segments with unusual biological features. Expand
Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions
A function f(x) defined on = 1 - 2 - ... - n where each i is totally ordered satisfying f(x [logical or] y) f(x [logical and] y) >= f(x) f(y), where the lattice operations [logical or] and [logicalExpand
The differential equations of birth-and-death processes, and the Stieltjes moment problem
Pi,i+i(t) = Xit + o(t), Pi,i(t) = 1 (Xi + ,Yi)t + 0(t), Pi,i_i(t) = pit + o(t), as t->O, where Xi, pui are constants which may be thought of as the rates of absorption from state i into states i+1,Expand
Dinucleotide relative abundance extremes: a genomic signature.
TLDR
Analysis of currently available genomic sequence data has extended earlier results, showing that the general designs of disjoint samples of a genome are substantially more similar to each other than to those of sequences from other organisms and that closely related organisms have similar general designs. Expand
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