scientific article; zbMATH DE number 3624579

zbMath0402.60087MaRDI QIDQ4187128

Esa Nummelin

Publication date: 1978

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1978__14_2_119_0

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zbMATH Keywords

Renewal ProcessRenewal TheoremsRatio Limit TheoremsRecurrence TimeSplitting Technique

Mathematics Subject Classification ID

Limit theorems in probability theory (60F99) Renewal theory (60K05)

Related Items (12)

Large deviations of uniformly recurrent Markov additive processes ⋮ On non-singular renewal kernels with an application to a semigroup of transition kernels ⋮ Limit theorems for recurrent semi-Markov processes and Markov renewal processes ⋮ A note on the ergodicity of nonlinear autoregressive model ⋮ Connection between asymptotics and stability of the positive measure ⋮ General branching processes as Markov fields ⋮ Asymptotics for Strassen's optimal transport problem ⋮ The key renewal theorem for a transient Markov chain ⋮ A renewal approach to Markovian \(U\)-statistics ⋮ A splitting technique for Harris recurrent Markov chains ⋮ Limit theorems for semi-Markov processes ⋮ On analysis of periodic polling systems

Cites Work

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• Renewal theory for functionals of a Markov chain with general state space
• A uniform theory for sums of Markov chain transition probabilities
• On semi-Markov and semiregenerative processes II
• Potentiel markovien récurrent des chaînes de Harris. (Recurrent Markov potential of Harris chains)
• Limit theorems for α-recurrent semi-Markov processes
• Uniform limit theorems for non-singular renewal and Markov renewal processes
• On semi-Markov and semi-regenerative processes I
• Periodicity in Markov renewal theory
• Limit Theorems for Markov Renewal Processes

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