Ads
related to: compound inequality word problems worksheet 7th grade printable
Search results
Results From The WOW.Com Content Network
Bennett's inequality, an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount Bhatia–Davis inequality , an upper bound on the variance of any bounded probability distribution
Such inequalities are of importance in several fields, including communication complexity (e.g., in proofs of the gap Hamming problem [13]) and graph theory. [14] An interesting anti-concentration inequality for weighted sums of independent Rademacher random variables can be obtained using the Paley–Zygmund and the Khintchine inequalities. [15]
The uses of this inequality are not limited to applications in probability theory.One example of its use in analysis is the following: if we let be a linear operator between two L p spaces (,) and (,), < <, with bounded norm ‖ ‖ <, then one can use Khintchine's inequality to show that
The feasible regions of linear programming are defined by a set of inequalities. In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. [1] It is used most often to compare two numbers on the number line by their size.
MADISON, Wis. — A 15-year-old girl who police say killed two people and wounded multiple others at a private Christian school in Wisconsin endured what appeared to be a tumultuous home life ...
Consider the sum = = = (). The two sequences are non-increasing, therefore a j − a k and b j − b k have the same sign for any j, k.Hence S ≥ 0.. Opening the brackets, we deduce: