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Lecture 3: Bayesian parameter estimates

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Lecture 3: Bayesian parameter estimates

how to calculate Bayesian probabilities:

Page 3: Lecture 3: Bayesian parameter estimatescourses.physics.ucsd.edu/2016/Fall/physics139/Lectures/... · 2016-10-03 · Bayes says posterior oc evidence x prior . Our next topic is Bayesian

how to calculate Bayesian probabilities:

Page 4: Lecture 3: Bayesian parameter estimatescourses.physics.ucsd.edu/2016/Fall/physics139/Lectures/... · 2016-10-03 · Bayes says posterior oc evidence x prior . Our next topic is Bayesian

how to calculate Bayesian probabilities:

Bayesian parameter estimates:

%%syms nn nb xnum = x^nb*(1-x)^(nn-nb);denom = gamma(nn-nb+1)*gamma(nb+1)/gamma(nn+2);p = num/denom;p=x^nb*(1-x)^(nn-nb)/gamma(nn- nb+1)/gamma(nb+1)*gamma(nn+2);figure(30)ezplot(subs(p,[nn,nb],[35,15]),[0,1]);

Matlab code:

Bayesian parameter estimates:

Bernoulli distribution:

Page 15: Lecture 3: Bayesian parameter estimatescourses.physics.ucsd.edu/2016/Fall/physics139/Lectures/... · 2016-10-03 · Bayes says posterior oc evidence x prior . Our next topic is Bayesian

Bernoulli distribution:

Page 16: Lecture 3: Bayesian parameter estimatescourses.physics.ucsd.edu/2016/Fall/physics139/Lectures/... · 2016-10-03 · Bayes says posterior oc evidence x prior . Our next topic is Bayesian

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