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Strictly stationary solutions of multivariate ARMA equations with i.i.d. noise
Strictly stationary solutions multivariate ARMA equations i.i.d. noise
2011/6/17
We obtain necessary and sufficient conditions for the existence of strictly stationary
solutions of multivariate ARMA equations with independent and identically
distributed noise. For general ARMA(p...
A 2-Dimensional SDE Whose Solutions are Not Unique
Stochastic differential equation pathwise uniqueness diffusion process
2009/5/4
In 1971, Yamada and Watanabe showed that pathwise uniqueness holds for the SDE dX= sigma (X)dB when sigma takes values in the n-by-m matrices and satisfies |sigma (x)- sigma (y)| < |x-y|log(1/|x-y|)1/...
Existence and uniqueness of solutions for BSDEs with locally Lipschitz coefficient
backward stochastic dierential equations (BSDE) locally Lipschitz function
2009/4/29
We deal with multidimensional backward stochastic differential equations (BSDE) with locally Lipschitz coefficient in both variables $ y,z $ and an only square integrable terminal data. Let $ L_N $ be...