For the Pareto distribution show (a) R 1 f x j , dx

Question:

For the Pareto distribution show

(a)

R 1

¯ f

¡

x j ®,¯

¢

dx Æ 1.

(b) F

¡

x j ®,¯

¢

Æ 1¡

¯®

x® , x ¸ ¯.

(c) E[X] Æ

®¯

®¡1

.

(d) var[X] Æ

®¯2

(®¡1)2 (®¡2)

.

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