If the random variable Y denotes an individual's income, Pareto's law claims that P(Y > y) = k , where k is the entire population's minimum income. It follows that F(Y)=1-|- k and 0+1 1 f(y;0) = 6k® , y 2 k;0>1 Find the method of moments estimator for the parameter 0 by assuming that k is known and the data consists of a random sample of size n.

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If the random variable Y denotes an individual's income, Pareto's law claims that
P(Y > y) =
k
where k is the entire population's minimum income.
It follows that F(Y)=1--
and
y
0+1
1
f(y; 0) = 6k
, y 2 k;0 >1
y
Find the method of moments estimator for the parameter 0 by assuming that k is known and
the data consists of a random sample of size n.
Transcribed Image Text:If the random variable Y denotes an individual's income, Pareto's law claims that P(Y > y) = k where k is the entire population's minimum income. It follows that F(Y)=1-- and y 0+1 1 f(y; 0) = 6k , y 2 k;0 >1 y Find the method of moments estimator for the parameter 0 by assuming that k is known and the data consists of a random sample of size n.
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