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Continuous Time Parameter Markov Chains Have Been Useful For Modeling Various Random Phenomena Occurring In Queueing Theory, Genetics, Demography, Epidemiology, And Competing Populations. This Is The First Book About Those Aspects Of The Theory Of Continuous Time Markov Chains Which Are Useful In Applications To Such Areas. It Studies Continuous Time Markov Chains Through The Transition Function And Corresponding Q-matrix, Rather Than Sample Paths. An Extensive Discussion Of Birth And Death Processes, Including The Stieltjes Moment Problem, And The Karlin-mcgregor Method Of Solution Of The Birth And Death Processes And Multidimensional Population Processes Is Included, And There Is An Extensive Bibliography. Virtually All Of This Material Is Appearing In Book Form For The First Time. Contents: Transition Functions And Resolvents -- Existence And Uniqueness Of Q-functions -- Examples Of Continuous Time Markov Chains -- More On The Uniqueness Problem -- Classification Of States And Invariant Measures -- Strong And Exponential Ergodicity -- Reversibility, Monotonictity, And Other Properties -- Birth And Death Processes -- Population Processes -- Bibliography -- Symbol Index -- Author

Who reads Continuous-Time Markov Chains: An Applications-Oriented Approach (Springer Series in Statistics)?

Author

William J. Anderson (auth.)

Publisher

Springer-Verlag New York Inc

Published

1991

Language

EN

ISBN

9781461277729

Category

nonfiction

Subjects

Mathematics, Stem