Measuring the lack of monotonicity in functions
Applications
2015-02-26 v1 Functional Analysis
Probability
Abstract
Problems in econometrics, insurance, reliability engineering, and statistics quite often rely on the assumption that certain functions are non-decreasing. To satisfy this requirement, researchers frequently model the underlying phenomena using parametric and semi-parametric families of functions, thus effectively specifying the required shapes of the functions. To tackle these problems in a non-parametric way, in this paper we suggest indices for measuring the lack of monotonicity in functions. We investigate properties of the indices and also offer a convenient computational technique for practical use.
Keywords
Cite
@article{arxiv.1403.5841,
title = {Measuring the lack of monotonicity in functions},
author = {Danang Teguh Qoyyimi and Ricardas Zitikis},
journal= {arXiv preprint arXiv:1403.5841},
year = {2015}
}