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Number variance for hierarchical random walks and related fluctuations
hierarchical random walks related fluctuations
2010/11/24
We study an infinite system of independent symmetric random walks on a hierarchical group, in particular, the c-random walks. Such walks are used, e.g., in population genetics. The number variance pr...
Martingale representation for Poisson processes with applications to minimal variance hedging
Poisson process martingalerep resentation Clark-Ocone formula derivative operator Kunita-Watanabe decomposition Malliavin calculus independent random measure minimal variance hedge
2010/4/27
We consider a Poisson process $\eta$ on a measurable space $(\BY,\mathcal{Y})$ equipped with a partial ordering, assumed to be strict almost everwhwere with respect to the intensity measure $\lambda$ ...
Arbitrage Bounds for Weighted Variance Swap Prices
Arbitrage Bounds Weighted Variance Swap Prices
2010/4/27
Consider a frictionless market trading a finite number of co-maturing European call and put options written on a risky asset plus an instrument with path-dependent payoff known as a weighted variance ...