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Problem 4.7 We define relative bias as the ratio between bias and the difference between the mean of the stimulus distribution and the true stimulus. a) For the posterior mean estimate, derive an expression for relative bias as a function of the ratio R = . (Hint: the expression will only contain R, no other variables.) b) Plot relative bias as a function of R. Does this plot show what you would expect from the Bayesian observer? Explain intuitively

Problem 4.7 We define relative bias as the ratio between bias and the difference between the mean of the stimulus distribution and the true stimulus. a) For the posterior mean estimate, derive an expression for relative bias as a function of the ratio R = . (Hint: the expression will only contain R, no other variables.) b) Plot relative bias as a function of R. Does this plot show what you would expect from the Bayesian observer? Explain intuitively

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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Problem 4.7 We define relative bias as the ratio between bias and the difference between the mean of the stimulus distribution and the true stimulus. a) For the posterior mean estimate, derive an expression for relative bias as a function of the ratio R. (Hint: the expression will only contain R, no other variables.) b) Plot relative bias as a function of R. c) Does this plot show what you would expect from the Bayesian observer? Explain intuitively.
Transcribed Image Text:Problem 4.7 We define relative bias as the ratio between bias and the difference between the mean of the stimulus distribution and the true stimulus. a) For the posterior mean estimate, derive an expression for relative bias as a function of the ratio R. (Hint: the expression will only contain R, no other variables.) b) Plot relative bias as a function of R. c) Does this plot show what you would expect from the Bayesian observer? Explain intuitively.
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