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(1.) The measurement, x, is an unbiased estimate of u and has precision o. Expand x2 in a Taylor series about the point x = μ. Hence show that, if the coefficient of variation of x is small, the expected valu of z = x² is given by u²+o² and that the coefficient of variation of zi approximately twice as large as that of r

(1.) The measurement, x, is an unbiased estimate of u and has precision o. Expand x2 in a Taylor series about the point x = μ. Hence show that, if the coefficient of variation of x is small, the expected valu of z = x² is given by u²+o² and that the coefficient of variation of zi approximately twice as large as that of r

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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1. The measurement, x, is an unbiased estimate of u and has precision o. Expand x2 in a Taylor series about the point x = μ. Hence show that, if the coefficient of variation of x is small, the expected value of z = x² is given by u²+ o² and that the coefficient of variation of z is approximately twice as large as that of x.
Transcribed Image Text:1. The measurement, x, is an unbiased estimate of u and has precision o. Expand x2 in a Taylor series about the point x = μ. Hence show that, if the coefficient of variation of x is small, the expected value of z = x² is given by u²+ o² and that the coefficient of variation of z is approximately twice as large as that of x.
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