2. Noun. (analysis) ''Said of a positive measure:'' the property of a positive measure of a measure space, that given two measurable sets where the first set is contained in the second one, then the measure of the first set must be less than or equal to the measure of the second set. ¹
¹ Source: wiktionary.com
Definition of Monotonicity
1. [n -TIES]
Lexicographical Neighbors of Monotonicity
Literary usage of Monotonicity
Below you will find example usage of this term as found in modern and/or classical literature:
1. Inequalities in Statistics and Probability: Proceedings of the Symposium on by Yung Liang Tong (1984)
"In this paper we study some monotonicity properties of ranking and selection rules.
... This property of selection rules is called monotonicity. ..."
2. Mixture Models: Theory, Geometry, and Applications by Bruce G. Lindsay (1995)
"monotonicity. An important piece of practic. J .dvice to students starting work
in this area is that no matter what meth\ d 3 used, one should be monitoring ..."
3. State of the Art in Probability and Statistics: Festschrift for Willem R by Mathisca de Gunst, Chris Klaassen, A. W. van der Vaart (2001)
"4 Realizable monotonicity In this section we review work by Fill and Machida ...
Realizable monotonicity is closely related to stochastic monotonicity, ..."
4. Selected Proceedings of the Symposium on Inference for Stochastic Processes by Ishwar V. Basawa, C. C. Heyde, Robert Lee Taylor (2001)
"3.2 monotonicity and Anti-monotonicity One concern with for example the case of
the SRS ... (3.6) If the monotonicity property (3.4) is replaced by the ..."
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