A normal distribution does not have to have a mid of 0, nor do they need negative values. — Jeremiah
It'll be fine once we use a MCMC and get the HDI. — Jeremiah
And I'm sure I intended to have a "not" in there somewhere. I'll fix it.I am not so sure about that. — Pierre-Normand
I'm not sure what "real world" has to do with anything. But..."A random variable is defined by a real world function"
That's a bit like saying that a geometrical circle is defined by a real world cheese wheel. — Pierre-Normand
This is the part I'm still struggling with a bit. — Srap Tasmaner
I'm not sure what "real world" has to do with anything. But... — JeffJo
The sample distribution of a statistic is the distribution of that statistic, considered as a random variable, when derived from a random sample of size n. Since we have no such sampling, let alone a statistic, there is no sample distribution, or use for one. Period. This just isn't a statistics problem.Also even without a sample distribution a theoretical model can still be set up. — Jeremiah
And since the OP does not include information relating to this, it does not reside in this "real world."It has to do with the sorts of inferences that are warranted on the ground of the assumption that the player still "doesn't know" whether her envelope is or isn't the largest one whatever value she finds in it. — Pierre-Normand
And since the OP does not include information relating to this, it does not reside in this "real world." — JeffJo
A pedant would insist you need to include one probability from the probability distribution of whichever you choose. But it divides out so it isn't necessary in practice. — JeffJo
This is not well-defined. — andrewk
The sample distribution of a statistic is the distribution of that statistic, considered as a random variable, when derived from a random sample of size n. Since we have no such sampling, let alone a statistic, there is no sample distribution, or use for one. Period. This just isn't a statistics problem. — JeffJo
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