Estimation of Sojourn Time Distributions for Cyclic Semi-Markov Processes in Equilibrium
Biometrika, 1987The EM algorithm is used to develop procedures for estimating the interoccurrence distributions when n independent and identically distributed cyclic semi-Markov processes, each being ergodic, irreducible and in equilibrium, are observed over finite windows. This work is an extension of the work of \textit{Y. Vardi} [Ann. Stat.
Dewanji, Anup, Kalbfleisch, John D.
openaire +1 more source
Approximation of sojourn-times via maximal couplings: motif frequency distributions
Journal of Mathematical Biology, 2013Sojourn-times provide a versatile framework to assess the statistical significance of motifs in genome-wide searches even under non-Markovian background models. However, the large state spaces encountered in genomic sequence analyses make the exact calculation of sojourn-time distributions computationally intractable in long sequences.
Lladser, Manuel E., Chestnut, Stephen R.
openaire +3 more sources
Light Traffic Limits of Sojourn Time Distributions in Markovian Queueing Networks
Communications in Statistics. Stochastic Models, 1988The results of the authors [Math. Oper. Res., to appear] are applied to calculate the derivatives \(W^{(n)}(x,0)\) of \(W(x,\lambda)=P_{\lambda}\) (sojourn time \(>x)\), \(x\geq 0\), and the light traffic limits for the sojourn time distribution of a Markovian queueing network with Poisson arrival process, with total arrival rate.
Reiman, Martin I, Simon, Burton
openaire +1 more source
The MM CPP/GE/c G-Queue: Sojourn Time Distribution
Queueing Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Effect of the handoff area sojourn time distribution on the performance of cellular networks
4th International Workshop on Mobile and Wireless Communications Network, 2003In cellular systems there is usually an overlap cell coverage area (area covered by two or more base stations) which has valuable practical applications. Particularly, it permits the queuing of handover requests as a handover prioritization scheme. The modeling of the sojourn time in the overlap area is a topic which is not sufficiently explored, and ...
Vicent Pla, Vicente Casares Giner
openaire +1 more source
The distribution of sojourn times in finite absorbing Markov chains
Mathematical Biosciences, 1976Abstract The distribution of the time spent before absorption in various states of finite Markov chains with time-independent transition probabilities is derived. All the moments of this distribution are calculated. The problem is of interest in population genetics.
openaire +2 more sources
Unimodality and Bounds of Modes for Distributions of Generalized Sojourn Times
1987The distribution of the generalized sojourn time T for a birth-and-death process up to the first passage time to the state n, starting at the state m (m < n), is considered. The generalized sojourn time is the sum of the sojourn times at the states i, over i = 0,1,...,n−1, with a state-dependent signed weight. A main new result of the paper is that the
openaire +1 more source
Stationary probability distribution for states of G-networks with constrained sojourn time
Automation and Remote Control, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Do Sojourn Effects on Personality Trait Changes Last? A Five–Year Longitudinal Study
European Journal of Personality, 2021Julia Richter +2 more
exaly
Sojourn distributions for particular customers in networks of queues
In this paper a study of the transient behavior of sojourn distributions of particular customers traversing serial networks of single-server queues is presented. It is motivated by the need to project completion times of critical customers in loaded, capacitated queueing systems.openaire +1 more source

