An interesting case on X validated of someone puzzled by the simulation (and variance) of the random variable 1/X when being able to simulate X. And being surprised at the variance of the ratio being way larger than the variances of both numerator and denominator.
Archive for inverse Gamma distribution
1 / duh?!
Posted in Books, R, Statistics, University life with tags cross validated, gamma distribution, inverse Gamma distribution, Monte Carlo, Moschopoulos distribution, simulation, teaching, unconscious statistician on September 28, 2021 by xi'anback to the Bayesian Choice
Posted in Books, Kids, Statistics, University life with tags autoregressive model, Bayesian decision theory, Book, exercises, improper posteriors, improper prior, inverse Gamma distribution, prior predictive, The Bayesian Choice on October 17, 2018 by xi'an
Surprisingly (or not?!), I received two requests about some exercises from The Bayesian Choice, one from a group of students from McGill having difficulties solving the above, wondering about the properness of the posterior (but missing the integration of x), to whom I sent back this correction. And another one from the Czech Republic about a difficulty with the term “evaluation” by which I meant (pardon my French!) estimation.
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