# Tag Info

## Hot answers tagged st.statistics

### Joint moments like $\tau(XYXYXY)$ in terms of individual moments of free variables $X,Y$

Such "concrete" formulas are addressed in Section 3.4. of my memoir Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory. This is in the ...
• 1,060

### Joint moments like $\tau(XYXYXY)$ in terms of individual moments of free variables $X,Y$

Given a collection of free random variables $X_i$, to evaluate a trace of the form $$\tau [ f_1 (X_{i_1 } ) f_2 (X_{i_2 } ) \ldots f_n (X_{i_n } ) ]$$ where $i_{j+1} \neq i_{j}$, consider the ...
• 5,561
Accepted

### Evolution of the empirical mean of a list as we remove elements proportional to their value

A simple mean field calculation suggests to look at the solution to $$\partial_t Q_t(k) = -\frac{k Q_t(k)}{\sum_\ell \ell Q_t(\ell)},\qquad Q_0 = P.$$ For all $n$, one would then expect a good ...
• 8,884

### Points based partial ranking

This is an interesting question. An expert in social choice would have an interesting reply. As a semi-expert I can say semi-interesting things. As you may know, a common voting setting in social ...
• 4,429
Accepted

• 173
1 vote

### Perturbation results for statistical estimators

Robust statistics methodology by the likes of researchers like Rousseeuw, Tukey, Huber use such terminology in describing how much a sample can be perturbed by aberrant observations and outliers ...
• 11

Only top scored, non community-wiki answers of a minimum length are eligible