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This paper considers how to find some joint distributions and their marginal distributions of crossing time and renewal numbers related to two PH-renewal processes by constructing an absorbing Markov process.
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The geodesic in differential geometry is commonly used in computer-aided filament winding (CAFW) to avoid slippage in manufacturing process.
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In this paper, the classical risk process perturbed by diffusion is generalized by allowing for "size fluctuation" and the ruin probability for this new model is discussed.
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In this article, local continuity moduli for the fractional Wiener process and l∞-valued Gaussian processes is discussed.
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For a positive integer m, define a Gaussian process .
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In this paper the liminf behavior of the increments of this process is discussed by establishing some probability inequalities.
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This paper discusses a general kind of increasing annuity based on its force of interest accumulation function as a general random process.
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If T:C→C is (asymptotically) nonexpansive, then the modified Ishikawa iteration process defined by converges weakly to a fixed point of T, where {tn} and {sn} are sequences in [0, 1] with some restrictions.
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Some properties for two-parameter fractional Levy-Wiener process
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In this paper, the properties about how small are the increments of the fractional Levy-Wiener process are studied, and some interesting results are obtained, which extend the result of Lin and Choi in 2001.
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The smoothing process adapts to image characteristics and is good at preserving local image structures.
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Expected discounted penalty function at ruin for risk process perturbed by diffusion under interest force
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The batch processing machine can process a number of jobs simultaneously as long as the total size of these jobs being processed does not exceed the machine capacity.
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A general form of the increments of two-parameter fractional wiener process
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A general form of the increments of two-parameter fractional Wiener process is given.
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The results of Cs?rg?-Révész increments are a special case, and it also implies the results of the increments of the two-parameter Wiener process.
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The spectral radiuses of Galton-Watson branching processes which describes the speed of the process escaping from any state are calculated.
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A strong approximation of μ* by the local time for Wiener process is presented and the limsup-type and liminf-type laws of iterated logarithm of the maximum local time μ* are obtained.
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The purpose of this paper is to consider the expected value of discounted penalty due at ruin in the Erlang(2) risk process under constant interest force.
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Primary customers get in the system according to a Poisson process, and they will receive service immediately if the server is available upon arrival.
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