随机遍历定理
The paper studied the convergence problems on partial sums of adapted stochastic sequence with submartingale convergence theorem, stopping time and conditional three series theorem.
利用下鞅收敛定理、停时和条件三级数定理研究适应随机变量序列部分和的收敛问题。
By means of the generalized It's role, we proved the comparison theorem for strong solutions of one-dimensional time homogeneous It stochastic differential equations under the condition that diffusion coefficients may be degenerate and discontinuous, and some integrability condition on the coefficients.
本文用广义Ito公式,在扩散系数可退化可间断,方程系数仅仅满足某种局部可积性条件下,证明了一维时齐Ito型随机微分方程的强解比较定理。
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