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 ...
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 ...
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 $...
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 $n$ ...
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_{...
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(\...
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