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Results tagged with st.statistics
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user 45570
Applied and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments.
3
votes
1
answer
358
views
Minimising the f-divergence to a conditional probability constraint
Let $P$ be a probability distribution and let $A$ and $B$ be some events, and suppose that we want to minimise an $f$-divergence between $P$ and the set of all distributions $Q$ that satisfy that cons …
- 631
3
votes
1
answer
477
views
Strictly Proper Scoring Rules and f-Divergences
Let $S$ be a scoring rule for probability functions. Define
$EXP_{S}(Q|P) = \sum \limits_{w} P(w)S(Q, w)$.
Say that $S$ is striclty proper if and only if $P$ always minimises $EXP_{S}(Q|P)$ as a fu …
- 631