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(a) y(t) = (2 sin t)x(t) is memoryless because y(t) depends only on x(t) and not on prior values of x(t) (d) yn = Ek= xn is not memoryless because yn does depend on values of x before the time instant n (f) yn = max{xn, xn 1, , xoo} is clearly not memoryless LinearAccel erat ed t i mel i ne t o end ext ract i on and remedi at e si t es t hroughout t he ci t y I n uni ncorporat ed Los A ngel es Count y, t here are nearl y 2, 000 act i ve and i dl e oi l and gas wel l s and t he maj ori t y are l ocat ed wi t hi n 2, 500 f eet of homes, school s, and hospi t al sN t no n t n t Y Z Y E Y n Y Time Series – Ergodicity RS –EC2 Lecture 13 8 • We want to estimate the mean of the process {Zt}, μ(Zt) But, we need to distinguishing between ensemble averageand time average Ensemble Average Time Series Average Q Ktowbekfc6v Fm In tty column