9.3.2 The Chernoff formula In order to compute the rate function in (9.12) for a sequence of independent random variables, we can use Chernoff’s formula. We derive this formula by finding an upper bound on the tail probabilities. Let X1,X2,…,Xn be independent and identically distributed...
1) Chernoff's product formula Chernoff公式2) Chernoff Inequation Chernoff不等式3) Chernoff bound Chernoff界4) Chernoff distance Chernoff距离 1. Use GA-PLS method to predict protein secondary structures based on Chernoff distance; 基于Chernoff距离的GA-PLS法预测蛋白质二级结构研究(英文)5) ...
We present generalizations of Chernoff's large deviation bound for sum of dependent random variables. These gener-alizations seem to be very useful for the Erd os probabilistic method. As an illustrating application, we sketch the solution of an old problem of Nathanson [14] concerning thin Warin...
We propose a Chernoff-bound approach and examine standard deviation value to enhance the accuracy of the existing fast incremental model tree with the drift detection (FIMT-DD) algorithm. It is a data stream mining algorithm that can observe and form a model tree from a large dataset. The sta...
On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound Context ...osition formula’s error is equivalent to the study of approximation of continuous semigroup by Lie-Trotter and Lie-Chernoff type formulas. Th... T Ichinose,H Tamura - 《Proceedings Mathematical...
Similarly, an analogous bound holds when the Xi live on any bounded intervals [ai, bi] (and then the quantities |ai ? bi| will appear in the bound—Exercise). In fact, one can obtain similar bounds even when the Xi are unbounded, provided their distributions fall o? quickly enough, as...
Since calculating this probability of error is often intractable, several techniques have been devised to bound it with closed-form formula, introducing thereby measures of similarity and divergence between distributions like the Bhattacharyya coefficient and its associated Bhattacharyya distance. The ...
Furthermore, up to possibly different consistency errors for the operators $I(t)$, the upper and lower bound for the error between the semigroup and the iterated operators are symmetric. Theresults are applied to Nisio semigroups and limit theorems for convex expectations. 展开 ...
1) Chernoff bound Chernoff界2) Chernoff distance Chernoff距离 1. Use GA-PLS method to predict protein secondary structures based on Chernoff distance; 基于Chernoff距离的GA-PLS法预测蛋白质二级结构研究(英文)3) Chernoff's product formula Chernoff公式...
1) Chernoff bound Chernoff界 2) Chernoff distance Chernoff距离 1. Use GA-PLS method to predict protein secondary structures based onChernoff distance; 基于Chernoff距离的GA-PLS法预测蛋白质二级结构研究(英文) 3) Chernoff's product formula Chernoff公式 ...