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Rare event simulation for processes generated via stochastic fixed point equations
Monte Carlo methods importance sampling perpetuities large deviations nonlinear renewal theory Harris recurrent Markov chains
2011/9/13
Abstract: In a number of applications, particularly in financial and actuarial mathematics, it is of interest to characterize the tail distribution of a random variable V satisfying the distributional...
Entropy Rate for Hidden Markov Chains with rare transitions
Entropy Rate for Hidden Markov Chains rare transitions
2011/1/20
We consider Hidden Markov Chains obtained by passing a Markov Chain with rare transitions through a noisy memoryless channel. We obtain asymptotic estimates for the entropy of the resulting Hidden Mar...