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Extended Wiener Measure by Nonstandard Analysis for Financial Time Series 被引量:2

Extended Wiener Measure by Nonstandard Analysis for Financial Time Series
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摘要 We propose a new approach to construct an extended Wiener measure using nonstandard analysis by E. Nelson. For the new definition we construct non-standardized convolution of probability measure for independent random variables. As an application, we consider a simple calculation of financial time series. We propose a new approach to construct an extended Wiener measure using nonstandard analysis by E. Nelson. For the new definition we construct non-standardized convolution of probability measure for independent random variables. As an application, we consider a simple calculation of financial time series.
出处 《Applied Mathematics》 2018年第8期975-984,共10页 应用数学(英文)
关键词 TIME Series Black-Sholes Model S-Continuity NONSTANDARD Analysis DELTA-FUNCTION Time Series Black-Sholes Model S-Continuity Nonstandard Analysis Delta-Function
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