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How to calculate posterior using data distribution? Posterior = (prior x likelihood) / (normalization) Prior =...

How to calculate posterior using data distribution?

Posterior = (prior x likelihood) / (normalization)

Prior = 0.5

Math   Statistics-And-Probability   
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Answer #1

Suppose the independent sample come from the density function   . So the likelihood function can be written as

Here we have prior= 0.5 ,so posterior can be written as

Since

Thus

So the posterior distribution is given by

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