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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.
      
The geodesic in differential geometry is commonly used in computer-aided filament winding (CAFW) to avoid slippage in manufacturing process.
      
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.
      
In this article, local continuity moduli for the fractional Wiener process and l∞-valued Gaussian processes is discussed.
      
For a positive integer m, define a Gaussian process .
      
In this paper the liminf behavior of the increments of this process is discussed by establishing some probability inequalities.
      
This paper discusses a general kind of increasing annuity based on its force of interest accumulation function as a general random process.
      
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.
      
Some properties for two-parameter fractional Levy-Wiener process
      
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.
      
The smoothing process adapts to image characteristics and is good at preserving local image structures.
      
Expected discounted penalty function at ruin for risk process perturbed by diffusion under interest force
      
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.
      
A general form of the increments of two-parameter fractional wiener process
      
A general form of the increments of two-parameter fractional Wiener process is given.
      
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.
      
The spectral radiuses of Galton-Watson branching processes which describes the speed of the process escaping from any state are calculated.
      
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.
      
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.
      
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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