主催: バイオメディカル・ファジィ・システム学会
会議名: 第33回バイオメディカル・ファジィ・システム学会
回次: 33
開催地: 北九州
開催日: 2020/10/31 - 2020/11/01
p. 121-124
Standing on a different view point from Anderson we prove that the extended Wiener process defined by Anderson satisfies the definition of the Wiener process in standard analysis, for example the Wiener process at time t obeys the normal distribution N(0,t) by showing the central limit theorem. The essential theory used in the proof is the extended convolution property in nonstandard analysis which is shown in K., Nishiyama and Tchizawa and K. and Tchizawa.