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Let T = {τ1, τ2, ..., τK; p1, p2, ..., pK} be a position dependent random map on [0, 1], where {τ1, τ2, ..., τK} is a collection of nonsingular maps on [0, 1] into [0, 1] and {p1, p2, ..., pK} is a collection of position dependent probabilities on [0, 1]. We assume that the random map T has a ...
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The Michelin Tire Company requires its tires to be very uniform in order to provide a smooth, quiet ride. The design of the appropriate manufacturing technique leads to a problem in harmonic analysis, and to the problem of the design of a statistical experiment to accurately measure the harmonic...
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We consider the geometric Markov renewal processes as a model for a security
market and study this processes in a diffusion approximation scheme. Weak convergence
analysis and rates of convergence of ergodic geometric Markov renewal processes in diffusion
scheme are presented. We present...
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