monotone increasing
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Monotone likelihood ratio property — is a property of a family of probability distributions described by their probability density functions (PDFs). A family of density functions { f heta (x)} { hetain Theta} indexed by a parameter heta taking values in a set Theta is said to have… … Wikipedia
Monotone likelihood ratio — A monotonic likelihood ratio in distributions f(x) and g(x) The ratio of the density functions above is increasing in the parameter x, so f(x)/g(x) satisfies the monotone likelihood ratio property. In statistics, the monoto … Wikipedia
Monotone convergence theorem — In mathematics, there are several theorems dubbed monotone convergence; here we present some major examples. Contents 1 Convergence of a monotone sequence of real numbers 1.1 Theorem 1.2 Proof 1.3 … Wikipedia
Monotone polygon — Green indicates one intersection, blue indicates two intersections, and red indicates three or more. The top two polygons are monotone with respect to L while the bottom two are not. In geometry, a polygon P in the plane is called monotone with… … Wikipedia
monotone — 1. adjective /ˈmɒ.nə.təʊn,ˈmɑː.nə.toʊn/ a) having a single unvaried pitch It is no very difficult matter to be loud in a high tone of voice; but to be loud and forcible in a low tone, requires great practice and management; this, however, may be… … Wiktionary
increasing monotonic — adjective consistently increasing an increasing monotonic function • Similar to: ↑monotonic, ↑monotone … Useful english dictionary
Monotone preferences — In economics, an agent s preferences are said to be weakly monotonic if, given a consumption bundle x, the agent prefers all consumption bundles y that have more of every good. That is, implies . An agent s preferences are said to be strongly… … Wikipedia
Longest increasing subsequence — The longest increasing subsequence problem is to find a subsequence of a given sequence in which the subsequence elements are in sorted order, lowest to highest, and in which the subsequence is as long as possible. This subsequence is not… … Wikipedia
Strongly monotone — In functional analysis, an operator A:X o X where X is a real Hilbert space is said to be strongly monotone if:exists,c>0 mbox{ s.t. } (Au Av | u v)geq c |u v|^2 quad forall u,vin X.This is analogous to the notion of strictly increasing for… … Wikipedia
Generalized quantifier — In linguistic semantics, a generalized quantifier is an expression that denotes a property of a property, also called a higher order property. This is the standard semantics assigned to quantified noun phrases, also called determiner phrases, in… … Wikipedia
Cumulative distribution function — for the normal distributions in the image below … Wikipedia
