# monotone function

monotone function
a function that either never decreases or never increases as its independent variable increases.

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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 — refers to a sound, for example speech or music, that has a single unvaried tone. Monotone or monotonicity may also refer to: Monotone (software), an open source revision control system Monotone class theorem, in measure theory Monotone… …   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 cubic interpolation — In the mathematical subfield of numerical analysis, monotone cubic interpolation is a variant of cubic interpolation that preserves monotonicity of the data set being interpolated. Monotonicity is preserved by linear interpolation but not… …   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

• 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

• Monotone cubic interpolation — Эта статья предлагается к удалению. Пояснение причин и соответствующее обсуждение вы можете найти на странице Википедия:К удалению/23 декабря 2012. Пока пр …   Википедия

• Monotonic function — Monotonicity redirects here. For information on monotonicity as it pertains to voting systems, see monotonicity criterion. Monotonic redirects here. For other uses, see Monotone (disambiguation). Figure 1. A monotonically increasing function (it… …   Wikipedia

• Perfect hash function — A perfect hash function for a set S is a hash function that maps distinct elements in S to a set of integers, with no collisions. A perfect hash function has many of the same applications as other hash functions, but with the advantage that no… …   Wikipedia