We consider a population with non-overlapping generations, whose size goes to infinity. It is described by a discrete genealogy which may be time non-homogeneous and we pay special attention to branching trees in varying environments. A Markov chain models the dynamic of the trait of each individual along this genealogy and may also be time nonhomogeneous. Such models are motivated by transmiss...

In previous work, Dietz and Sethuraman (2005), large deviations with respect to additive functionals were established for a class of finite-state time-nonhomogeneous Markov chains whose connecting transition matrices {Pn} converge to a general limit matrix P which includes some stochastic optimization algorithms. In this note, large deviations at the next level, that is with respect to K-word e...

Forward scattering effects have been studied and compared when nonhomogeneous medium is illuminated by coherent and quasi-noise sources operating in mm-wave and microwave ranges. Double-layers dielectric structure simulating Fabry-Perot resonator properties was employed to develop a relevant model used for comparing transmittances of both coherent and noise signals. Experiments with nonhomogene...

Abstract. Under a markovian evolutionary process, the expected number of substitutions per site (also called branch length) that have occurred when a sequence has evolved from another according to a transition matrix P can be approximated by − 1 4 log detP. When the Markov process is assumed to be continuous in time, i.e. P = expQt it is easy to simulate this evolutionary process for a given br...

in this paper, absorbing markov chain models are developed to determine the optimum process mean levels for both a single-stage and a serial two-stage production system in which items are inspected for conformity with their specification limits. when the value of the quality characteristic of an item falls below a lower limit, the item is scrapped. if it falls above an upper limit, the item is ...