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随 机 过 程 的 均 值 是 定 义 在 某 个 时 间 点 上 的 随 机 变 量 的 函 数 随机过程的均值是定义在某个时间点上的随机变量的函数 随机
过程的均值是定义在某个时间点上的随机变量的函数
协 方 差 函 数 C X ( t 1 , t 2 ) = E ( ( X t 1 − E ( X t 1 ) ) ( X t 2 − E ( X t 2
) ) ) 协 方 差 函 数 就 是 同 一 个 随 机 过 程 在 两 个 时 间 点 的 协 方 差
协方差函数C_X(t_1,t_2)=E((X_{t_1}-E{(X_{t_1})})(X_{t_2}-E{(X_{t_2})}))\\
协方差函数就是同一个随机过程在两个时间点的协方差协方差函数CX(t1,t2)=E((Xt1−E(Xt1))(Xt2−E(Xt2)))协方差
函数就是同一个随机过程在两个时间点的协方差
自 相 关 函 数 R X ( t 1 , t 2 ) = E ( X t 1 X t 2 ) C X ( t 1 , t 2 ) = R X ( t 1
, t 2 ) − E ( X t 1 ) E ( X t 2 ) 自相关函数R_X(t_1,t_2)=E(X_{t_1}X_{t_2})\\
C_X(t_1,t_2)=R_X(t_1,t_2)-E(X_{t_1})E(X_{t_2})自相关函数RX(t1,t2)=E(Xt1Xt2)CX
(t1,t2)=RX(t1,t2)−E(Xt1)E(Xt2)