search for: conjugaci

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2011 Oct 17
1
Best practices for handling very small numbers?
Greetings I have been experimenting with sampling from posterior distributions using R. Assume that I have the following observations from a normal distribution, with an unscaled joint likelihood function: normsamples = rnorm(1000,8,3) joint_likelihood = function(observations, mean, sigma){ return((sigma ^ (-1 * length(observations))) * exp(-0.5 * sum( ((observations - mean ) ^ 2)) / (sigma
2006 Dec 05
3
Comparing posterior and likelihood estimates for proportions (off topic)
This question is slightly off topic, but I'll use R to try and make it as relevant as possible. I'm working on a problem where I want to compare estimates from a posterior distribution with a uniform prior with those obtained from a frequentist approach. Under these conditions the estimates should agree. Specifically, I am asking the question, "What is the probability that the true