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Population biology --- Branching processes --- Biologie des populations --- Processus ramifiés
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Branching processes --- Estimation theory --- Processus ramifiés --- Théorie de l'estimation
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Stochastic processes --- 519.218 --- Special stochastic processes --- Branching processes. --- 519.218 Special stochastic processes --- Branching processes --- Processus ramifiés --- Processus ramifiés
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Branching processes. --- Sequences (Mathematics) --- Random variables --- Processus ramifiés --- Suites (Mathématiques) --- Variables aléatoires --- Random variables. --- Sequences (Mathematics). --- Processus ramifiés --- Suites (Mathématiques) --- Variables aléatoires
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This is the first volume of a subseries of the Lecture Notes in Mathematics which will appear randomly over the next years. Each volume will describe some important topic in the theory or applications of Lévy processes and pay tribute to the state of the art of this rapidly evolving subject with special emphasis on the non-Brownian world. The three expository articles of this first volume have been chosen to reflect the breadth of the area of Lévy processes. The first article by Ken-iti Sato characterizes extensions of the class of selfdecomposable distributions on Rd. The second article by Thomas Duquesne discusses Hausdorff and packing measures of stable trees. The third article by Oleg Reichmann and Christoph Schwab presents numerical solutions to Kolmogoroff equations, which arise for instance in financial engineering, when Lévy or additive processes model the dynamics of the risky assets.
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This book provides a theoretical background of branching process and discusses their biological applications. Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology, cellular biology, human evolution, and medicine. The branching processes discussed include Galton-Watson, Markov, Bellman-Harris, Multitype, and General Processes. As an aid to understanding specific examples, two introductory chapters and two glossaries are included that provide background material in mathematics and in biology. The book will be of interest to scientists who work in quantitative modeling of biological systems, particularly probabilists, mathematical biologists, biostatisticians, cell biologists, molecular biologists, and bioinformaticians. The authors are a mathematician and cell biologist who have collaborated for more than a decade in the field of branching processes in biology.
Biology --- Branching processes. --- Biologie --- Processus ramifiés --- Mathematical models. --- Modèles mathématiques --- EPUB-LIV-FT SPRINGER-B --- Branching processes --- Biomathematics. Biometry. Biostatistics --- Stochastic processes --- Distribution (Probability theory. --- Statistics. --- Bioinformatics. --- Cytology. --- Mathematical and Computational Biology. --- Probability Theory and Stochastic Processes. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Cell Biology. --- Biomathematics. --- Probabilities. --- Statistics . --- Cell biology. --- Mathematics --- Bio-informatics --- Biological informatics --- Information science --- Computational biology --- Systems biology --- Cell biology --- Cellular biology --- Cells --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Data processing
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