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

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### Topics on Threshold Estimation, Multistage Methods and Random Fields.

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### Adaptive Bayes Test for Monotonicity

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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…

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### Estimating transformation function

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