51 incremental computation of standard deviation 24 Proof of the independence of the sample mean and sample variance 22 How exactly are the beta and gamma distributions related? 12 Does law of large numbers converge in $L^1$? 10 Get a Fisher information matrix for linear model with the normal distribution for measurement error?

### Reputation (3,548)

 +10 Proof of the independence of the sample mean and sample variance +10 Examples of sufficient statistics for non-exponential family distributions? +10 Kullback-Leibler Approximation of Unbounded by Bounded Densities +10 Get a Fisher information matrix for linear model with the normal distribution for measurement error?

### Questions (27)

 10 Are there any decompositions of a symmetric matrix that allow for the inversion of any submatrix? 8 Probability of two points being split into different partitions. 7 Convergence of $\sum \frac{a_n}{S_n ^{1 + \epsilon}}$ where $S_n = \sum_{i = 1} ^ n a_n$ 6 Given a real function $g$ satisfying certain conditions, can we construct a convex $h$ with $h \le g$? 5 Concentration inequalities for $P(\sum_{i=1}^n \epsilon_i X_i > t)$

### Tags (53)

 130 statistics × 28 41 probability-distributions × 6 79 probability × 31 28 probability-theory × 24 51 algorithms 16 measure-theory × 7 51 computational-mathematics 14 convergence-divergence × 5 51 standard-deviation 12 alternative-proof

### Bookmarks (22)

 192 What do modern-day analysts actually do? 154 An Introduction to Tensors 62 Does the series $\sum\limits_{n=1}^{\infty} \frac{1}{n^{1 + |\sin(n)|}}$ converge or diverge? 52 What are the rules for equals signs with big-O and little-o? 34 Could G. H. Hardy make a product of two primes so big he couldn't find out which?