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Sharp maximal inequality for martingales and stochastic integrals
Martingale stochastic integral maximal function
2009/4/29
Let $X=(X_t)_{tgeq 0}$ be a martingale and $H=(H_t)_{tgeq 0}$ be a predictable process taking values in $[-1,1]$. Let $Y$ denote the stochastic integral of $H$ with respect to $X$. We show that $$ ||s...
Sharp maximal inequality for martingales and stochastic integrals
martingales stochastic integrals
2009/4/22
Let $X=(X_t)_{tgeq 0}$ be a martingale and $H=(H_t)_{tgeq 0}$ be a predictable process taking values in $[-1,1]$. Let $Y$ denote the stochastic integral of $H$ with respect to $X$. We show that $$ ||s...