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Taylor series expansions for stationary Markov chains (Q4454112)

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scientific article; zbMATH DE number 2052112

Language	Label	Description	Also known as
English	Taylor series expansions for stationary Markov chains	scientific article; zbMATH DE number 2052112

Statements

scholarly article

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Taylor series expansions for stationary Markov chains (English)

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Bernd F. Heidergott

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Advances in Applied Probability

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publication date

7 March 2004

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full work available at URL

https://research.vu.nl/en/publications/64c16914-a235-4e78-bc76-9670721763d0

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zbMATH Keywords

Markov chain

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Taylor series

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measure-valued differentiation

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deviation matrix

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Expansions for joint Laplace transform of stationary waiting times in \((\max,+)\)-linear systems with Poisson input

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Laplace transform and moments of waiting times in Poisson driven (max,+) linear systems

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Tail probability of transient and stationary waiting times in (max,+)-linear systems

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Taylor series expansions for Poisson-driven (max,+)-linear systems

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Transient and stationary waiting times in \((\max, +)\)-linear systems with Poisson input

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Expansions for steady-state characteristics of (max, +)-linear systems

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Characterization and sufficient conditions for normed ergodicity of Markov chains

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The Maclaurin series for performance functions of Markov chains

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THE DEVIATION MATRIX OF A CONTINUOUS-TIME MARKOV CHAIN

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Average, Sensitive and Blackwell Optimal Policies in Denumerable Markov Decision Chains with Unbounded Rewards

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On the Relation Between Recurrence and Ergodicity Properties in Denumerable Markov Decision Chains

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The MacLaurin series for the GI/G/1 queue

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Derivatives of Markov Kernels and Their Jordan Decomposition

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Measure-Valued Differentiation for Stationary Markov Chains

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On the Convergence of Policy Iteration in Finite State Undiscounted Markov Decision Processes: The Unichain Case

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On ergodicity and recurrence properties of a Markov chain by an application to an open jackson network

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Analyticity of single-server queues in light traffic

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The Departure Process of the <i>GI</i>/<i>G</i>/1 Queue and Its MacLaurin Series

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Inequalities in Theorems of Ergodicity and Stability for Markov Chains with Common Phase Space. I

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ON DEVIATION MATRICES FOR BIRTH–DEATH PROCESSES

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Markov chains and stochastic stability

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The MacLaurin expansion for a \(G/G/1\) queue with Markov-modulated arrivals and services

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Analyticity of Poisson-driven stochastic systems

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Identifiers

zbMATH Open document ID

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10.1239/aap/1067436334

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4454112

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