Plot PDF's for N samples.

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Micah Mungal
Micah Mungal 2018-11-16
编辑： Micah Mungal 2018-11-16
Hi I have a binary hypothesis test where I observe 20 samples which are iid ( independent and identically distributed). Under the null hypothesis I am assuming that the 20 samples each follow a normal distribution with mean 0 and variance of 1. Also for the alternate hypothesis, I am assuming that the 20 samples each follow a normal distribution with mean 0 and variance of 2. This is the result, representing the sample by x[n]:
and
Above gives the PDF for each sample, and since they are iid the joint density function for each hypothesis becomes:
and
Where Π represents the products of the individual PDFs. How can I plot the joint density functions, and in MATLAB.

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