# Estimating a monotone trend

@article{Zhao2008EstimatingAM, title={Estimating a monotone trend}, author={Ou Zhao and Michael Woodroofe}, journal={arXiv: Statistics Theory}, year={2008} }

Motivated by global warming issues, we consider a time se- ries that consists of a nondecreasing trend observed with station- ary fluctuations, nonparametric estimation of the trend under monotonicity assumption is considered. The rescaled isotonic es- timators at an interior point are shown to converge to Chernoff's distribution under minimal conditions on the stationary errors. Since the isotonic estimators suffer from the spiking problem at the end point, two modifications are proposed. The…

## 15 Citations

### ST ] 1 3 Ja n 20 14 INFERENCE FOR MONOTONE TRENDS UNDER DEPENDENCE By

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### Invariance principles for linear processes with application to isotonic regression

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### Testing Un-Separated Hypotheses by Estimating a Distance

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### Adaptive Bayes Test for Monotonicity

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- 2014

We study the asymptotic behavior of a Bayesian nonparametric test of qualitative hypotheses. More precisely, we focus on the problem of testing monotonicity of a regression function. Even if some…

### Threshold estimation based on a p-value framework in dose-response and regression settings.

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We use p-values to identify the threshold level at which a regression function leaves its baseline value, a problem motivated by applications in toxicological and pharmacological dose-response…

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