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Deriving the joint density function of general bivariate normal distribution using transformations.
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We derive the joint probability density function of a general bivariate normal distribution using transformation finding the Cumulative Distribution Function (CDF).
*** CORRECTION ***
@ 18:22 .... When I did twice first term by the second term in the binomial expansion, the last expression in the numerator should by divided by Sigma_x. Note @ 20:38, I wrote Sigma_x that was left out in the denominator multiplied by Sigma_y.
You can watch my other video on how this is done using transformations and joint pdfs.
*** CORRECTION ***
@ 18:22 .... When I did twice first term by the second term in the binomial expansion, the last expression in the numerator should by divided by Sigma_x. Note @ 20:38, I wrote Sigma_x that was left out in the denominator multiplied by Sigma_y.
You can watch my other video on how this is done using transformations and joint pdfs.