Titlebook: Athens Conference on Applied Probability and Time Series Analysis; Volume I: Applied Pr C. C. Heyde,Yu V. Prohorov,S. T. Rachev Conference

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https://doi.org/10.1007/978-3-322-95925-6th no selection and with either no mutation or only one-way mutation. Consider a large biological population consisting of a single species in which a particular gene appears in two possible forms (alleles) A and a, say. Assume that we are dealing with a one-sex population (as with some plants) and

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,Essen oder “nachhaltige” Ernährung?,on in which the number of households in tends to infinity, whilst the household size n remains fixed, is analysed. For large m the process of infected households can be approximated by a branching process. A coupling argument is used to make this approximation precise as in tends to ∞, thus enabling

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Analysis of recursive algorithms by the contraction methodns and binary search trees. In these examples it is demonstrated that the contraction method can be applied successfully to problems with contraction constants converging to one and with nonregular normalizations as logarithmic normalizations, which are typical in search type algorithms. An advantag

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Comparison of completely positive maps on a , algebra and a Lebesgue decomposition theoremrobabilistic analogues of transition probability operators in Markov processes. In [BS], V.P. Belavkin and P.Staszewski introduced three different notions of absolute continuity of one completely positive (c.p.) map with respect to another on a . algebra and proved the existence of a Radon-Nikodym d

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Abel Expansions and Generalized Abel Polynomials in Stochastic ModelsAbel’s expansions that generalize Taylor’s ones. The purpose of the present paper is to show that these polynomials and expansions are present implicitely in several probability models, and that making explicit their hidden algebraic structure is very useful. More complex stochastic models can then

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Palindromes in Random Letter Generation: Poisson Approximations, Rates of Growth,and Erdös-Rényi Lawion; a palindrome is any word that is symmetric about its center. We prove that the distribution of .. can be well-approximated by that of a Poisson random variable. Similar approximations are obtained for various other random quantities of interest. We also obtain maximal and minimal rates of growt

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Direct analytical methods for determining quasistationary distributions for continuous-time Markov c transition-rate matrix ..We shall present conditions which ensure that any finite .-invariant probability measure for . is a quasistationary distribution. Our results will be illustrated with reference to birth and death processes.