How can I plot the the liklihood Function to show convergence to MLE

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AR 2017-3-21

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评论： AR 2017-3-24

How can I plot the my Liklihood function for a large n, say at 100, to show MLE convergence (inflection point)? fplot did not work. I used the iterative Newton method to solve via convergence to theta_MLE and would like to graphically display this as well. Thanks for any suggestions.

L_theta=1/16*((1+x1*theta)*(1+x2*theta)*(1+x3*theta)*(1+x4*theta))
fplot(L_theta,[-1,1])

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Answer 1

Renee Coetsee 2017-3-23

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https://ww2.mathworks.cn/matlabcentral/answers/330969-how-can-i-plot-the-the-liklihood-function-to-show-convergence-to-mle#answer_260066

I believe that "fplot" did not work because it is expecting a function handle. Because I am unable to run the code that you provided, I am assuming "L_theta" is an array or scalar value.

Try turning "L_theta" into an anonymous function. Here is an example with input "theta":

L_theta = @(theta) 1/16*((1+x1*theta)*(1+x2*theta)*(1+x3*theta)*(1+x4*theta))

Refer to the documentation page for "fplot" for more function handle examples:

https://www.mathworks.com/help/matlab/ref/fplot.html