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Sigma-martingale : ウィキペディア英語版 | Sigma-martingale
In the mathematical theory of probability, a sigma-martingale is a semimartingale with an integral representation. Sigma-martingales were introduced by C.S. Chou and M. Emery in 1977 and 1978.〔 In financial mathematics, sigma-martingales appear in the fundamental theorem of asset pricing as an equivalent condition to no free lunch with vanishing risk (a no-arbitrage condition). == Mathematical definition == An -valued stochastic process is a ''sigma-martingale'' if it is a semimartingale and there exists an -valued martingale ''M'' and an ''M''-integrable predictable process with values in such that :
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Sigma-martingale」の詳細全文を読む
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