Nummelin, Esa

name

• Nummelin, Esa

Authored works

• A conservation property for general GI/G/1-queues with an application to tandem queues
• A limit theorem for the queueing output process with an application to tandem queues
• A note on the general failure model : non-negligible replacement times
• A splitting technique for [gamma]-recurrent Markov chains
• An algebraic method for studying the Fredholm equation of the second kind
• Geometric ergodicity and R-positivity for general Markov chains
• Limit theorems for [alpha]-recurrent Markow renewal processes and semi-Markow processes
• On a generalized Shanks' transformation
• On compactness of a linear operator on the Banach space of bounded functions R->C
• On the [alpha]-properties and quasi-stationary distributions of semi-Markov processes
• On the [alpha]-properties of continuous time Markow processes
• On the approximation of a linear operator on the Banach space of bounded functions R->C with a linear operator of finite rank
• On the concepts of [alpha]-recurrence and [alpha]-transience for Markow renewal processes
• On the moments of the first entrance time distribution for a Markow chain on a general state space
• On the Poisson equation for [phi]-recurrent Markov chains
• On the Poisson equation in the potential theory of a single kernel
• Regeneration in tandem queues
• Renewal representations for Markov operations
• Strong ratio limit theorems for [phi]-irreducible Markov chains
• The convergence of sums of transition probabilities of a positive recurrent Markov chain
• The general failure model : optimal replacement using discounted costs
• Uniform and ratio limit theorems for Markov renewal and semi-regenerative processes on a general state space

Works contributed to

• A central limit theorem for Markov random walks
• Central limit theorems for Markov random walks
• Large deviations of uniformly recurrent Markov additive processes
• On non-singular renewal kernels with an application to a semigroup of transition kernels
• Semi-Markov processes and alpha-invariant distribution
• Semi-Markov processes on a general state space : [alpha]-theory and quasi-stationarity
• The kink of cellular automaton rule 18 performs a random walk

Works about Nummelin, Esa