Question: 2.32 Define the indicator variable e(x) 1 if x 0 0 if x < 0 Show that the random function defined by

2.32 Define the indicator variable e(x) ¼

1 if x  0 0 if x < 0



Show that the random function defined by Fn(x) ¼

Xn i¼1 e(x  Xi)

n is the empirical distribution function of a sample X1, X2, . . . , Xn, by showing that Fn(x) ¼ Sn(x) for all x

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