13 votes
Accepted

What is the specific name of this distribution?

This is the PDF of a logistic distribution with its location parameter set to zero and scale parameter set to one. In general, a logistic distribution has a PDF as follows, where $\mu$ is the mean and ...
Dave's user avatar
  • 58.1k
7 votes
Accepted

Why can a model's SHAP values change on a new dataset?

Why can a model's SHAP values change on a new dataset? WHY SHOULDN'T THEY? When you calculate a mean on a new data set, you expect to get a slightly (or radically) different value. When you calculate ...
Dave's user avatar
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5 votes
Accepted

Can i have a distribution that is not a marginal of another distribution?

The answer is NO. To reformulate the question: Given any two univariate distributions $F, G$ (represented with their cumulative distribution functions) is there always a bivariate distribution with $...
kjetil b halvorsen's user avatar
4 votes
Accepted

Does this type of distribution have a name?

The distribution is a beta binomial distribution with parameters n=300 and $\alpha=\beta=0.5$. For an approach to derive this, you can consider the distribution of the counting variable $x$ after $n$ ...
Sextus Empiricus's user avatar
3 votes

Joint distribution of a random variable and the sample maximum

A fundamental result in order statistics is Theorem 2.4.2 of Balakrishnan & Cohen: Let $X_1, X_2, \ldots, X_n$ be i.i.id. random variables from a population with cdf $F$ and pdf $f,$ and let $X_{...
whuber's user avatar
  • 316k
1 vote

Conjugate prior for the gaussian distribution

It is better to look at this in a more general way. So you have a Bayesian model with a likelihood function $L_x(\theta)$ and a prior $\pi(\theta)$, say. Then the posterior is proportional to $L_x(\...
kjetil b halvorsen's user avatar

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