(b) Show that Y = log () is exponentially distributed with rate parameter 0, that is, the pdf of Y is Oe-Oy, fy (yl0) = { y > 0, 0, y < 0.

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Let X be a random variable from the Pareto distribution with probability density function
2º 0x-(0+1),
0,
x > 2,
x < 2,
f(x|0) =
where 0 > 2 is unknown.
Transcribed Image Text:Let X be a random variable from the Pareto distribution with probability density function 2º 0x-(0+1), 0, x > 2, x < 2, f(x|0) = where 0 > 2 is unknown.
(b) Show that Y = log () is exponentially distributed with rate parameter 0, that is, the
pdf of Y is
Oe-Oy,
fy (yl0) = {
y > 0,
0,
y < 0.
Transcribed Image Text:(b) Show that Y = log () is exponentially distributed with rate parameter 0, that is, the pdf of Y is Oe-Oy, fy (yl0) = { y > 0, 0, y < 0.
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