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===状态空间 State space ===

===状态空间 State space ===

随机过程的数学空间<math>S</math>称为其“状态空间”。这个数学空间可以用[[integer]]s、[[real line]]s、<math>n</math>-dimensional[[Euclidean space]]s、复杂平面或更抽象的数学空间来定义。状态空间是用反映随机过程可以采用的不同值的元素来定义的进程。<ref name="doob1953stochasticP46to47"/><ref name="GikhmanSkorokhod1969page1"/><ref name="Lamperti1977page1"/><ref name="Florescu2014page294">{{cite book|author=Ionut Florescu|title=Probability and Stochastic Processes|url=https://books.google.com/books?id=Z5xEBQAAQBAJ&pg=PR22|year=2014|publisher=John Wiley & Sons|isbn=978-1-118-59320-2|pages=294, 295}}</ref><ref name="Brémaud2014page120">{{cite book|author=Pierre Brémaud|title=Fourier Analysis and Stochastic Processes|url=https://books.google.com/books?id=dP2JBAAAQBAJ&pg=PA1|year=2014|publisher=Springer|isbn=978-3-319-09590-5|page=120}}</ref>

随机过程的数学空间<math>S</math>称为其“状态空间”。这个数学空间可以用整数、实线、<math>n</math>维欧几里得空间、复杂平面或更抽象的数学空间来定义。状态空间是用反映随机过程可以采用的不同值的元素来定义的进程。<ref name="doob1953stochasticP46to47"/><ref name="GikhmanSkorokhod1969page1"/><ref name="Lamperti1977page1"/><ref name="Florescu2014page294">{{cite book|author=Ionut Florescu|title=Probability and Stochastic Processes|url=https://books.google.com/books?id=Z5xEBQAAQBAJ&pg=PR22|year=2014|publisher=John Wiley & Sons|isbn=978-1-118-59320-2|pages=294, 295}}</ref><ref name="Brémaud2014page120">{{cite book|author=Pierre Brémaud|title=Fourier Analysis and Stochastic Processes|url=https://books.google.com/books?id=dP2JBAAAQBAJ&pg=PA1|year=2014|publisher=Springer|isbn=978-3-319-09590-5|page=120}}</ref>

 

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===样本函数 Sample function===

===样本函数 Sample function===