|WikiProject Mathematics||(Rated C-class, High-importance)|
|WikiProject Statistics||(Rated C-class, Top-importance)|
I've proposed that "nonparametric multiplicative regression" be merged into this article. Here's why.
- A Google search on "nonparametric regression" generates 369,000 hits, including dozens of book titles.
- A Google search on "nonparametric multiplicative regression" generates 63 hits, most of which seem to be related to this paper, which describes a software package (apparently used by ecologists) in language like this: "a Gaussian (hump-shaped) curve ..." Which is fine, I guess, if you're an ecologist or a zoologist.
- Clearly, NPMR is a subset of NPR, and should be subsumed under the larger topic. DavidCBryant 20:13, 27 February 2007 (UTC)
Dr. Hyndman's comment on this article
Dr. Hyndman has reviewed this Wikipedia page, and provided us with the following comments to improve its quality:
Methods described are incomplete, inadequately described, and do not cover some of the main methods (e.g., smoothing splines, regression splines, SVR, etc.)
NPMR is described in detail, even though this is not a particularly popular approach. Other widely used approaches are not mentioned at all.
The description of GPR/kriging is very brief, and refers to technical details that are not explained.
Kernel regression is very badly described. The data points are not convolved with a kernel function --- that is kernel density estimation. Rather, a weighted average of the dependent variable is taken where the weights are based on a kernel function applied to the independent varaibles.
A popular generalization of kernel regression is local linear (or local polynomial) regression including loess. This is not discussed at all.
GLMs are not a nonparametric regression method unless the regressors are splines, or some other general class of flexible basis functions.
We hope Wikipedians on this talk page can take advantage of these comments and improve the quality of the article accordingly.
Dr. Hyndman has published scholarly research which seems to be relevant to this Wikipedia article:
- Reference : Alexander Dokumentov & Rob J Hyndman, 2013. "Two-dimensional smoothing of mortality rates," Monash Econometrics and Business Statistics Working Papers 26/13, Monash University, Department of Econometrics and Business Statistics.