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pulation, i.e. {Xifi=1• In al to pi. Please demonst

pulation, i.e. {Xifi=1• In al to pi. Please demonst

MATLAB: An Introduction with Applications
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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Suppose we wish to estimate the expectation of a random variable X with a large popula- tion. We observe n members of the population, i.e. {x;}1. Individual i is included in the sample with a probability proportional to p;. Please demonstrate that the usual sample E; ®i/Pi i=1• mean ī = n-1E, xi is no longer a consistent estimator for E[X], but ã is. E; 1/Pj vi=1
Transcribed Image Text:Suppose we wish to estimate the expectation of a random variable X with a large popula- tion. We observe n members of the population, i.e. {x;}1. Individual i is included in the sample with a probability proportional to p;. Please demonstrate that the usual sample E; ®i/Pi i=1• mean ī = n-1E, xi is no longer a consistent estimator for E[X], but ã is. E; 1/Pj vi=1
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