If the random variable Y denotes an individual's income, Pareto's law claims thatP(Y > y) =kwhere k is the entire population's minimum income.It follows that F(Y)=1--andy0+11f(y; 0) = 6k, y 2 k;0 >1yFind the method of moments estimator for the parameter 0 by assuming that k is known andthe data consists of a random sample of size n.

Reviewing the information, Given distribution is a pareto distribution such that,…

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.

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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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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