Workshop on Branching Processes and Their Applications

Häftad, Engelska, 2010

Del i serien Lecture Notes in Statistics

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Beskrivning

Their niche of mathematics is the abstract pattern of reproduction, sets of individuals changing size and composition through their members reproducing; Branching is a clean and beautiful mathematical pattern, with an intellectually challenging intrinsic structure, and it pervades the phenomena it underlies.

Produktinformation

Utgivningsdatum:2010-03-11
Mått:155 x 235 x undefined mm
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Statistics
Antal sidor:296
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642111549

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Innehållsförteckning

Population Growth Models in Random and Varying Environments.- A refinement of limit theorems for the critical branching processes in random environment.- Branching processes in stationary random environment: The extinction problem revisited.- Environmental versus demographic stochasticity in population growth.- Stationary distributions of the alternating branching processes.- Special Branching Processes.- Approximations in population-dependent branching processes.- Extension of the problem of extinction on Galton–Watson family trees.- Limit theorems for critical randomly indexed branching processes.- Renewal measure density for distributions with regularly varying tails of order a ? ? (0,½].- Limit Theorems and Statistics.- Approximation of a sum of martingale differences generated by a bootstrap branching process.- Critical branching processes with immigration.- Weighted conditional least squares estimation in controlled multitype branching processes.- Applications in Cell Kinetics and Genetics.- Branching processes in cell proliferation kinetics.- Griffiths–Pakes branching process as a model for evolution of Alu elements.- Parametric inference for Y-linked gene branching models: Expectation-maximization method.- Applications in Epidemiology.- Applications of branching processes to the final size of SIR epidemics.- A branching process approach for the propagation of the Bovine Spongiform Encephalopathy in Great-Britain.- Time to extinction of infectious diseases through age-dependent branching models.- Time to extinction in a two-host interaction model for the macroparasite Echinococcus granulosus.- Two-sex Branching Models.- Bisexual branching processes with immigration depending on the number of females and males.- Two-sex branching process literature.