## Linkletter et al. (2006) Decreasing Coefficients

## Function

### Description:

*Dimensions: 10*

This function is used for input variable screening, because only eight of its input variables have a non-zero effect on the response, and their coefficients are decreasing with i, for i = 1, …, 10. A small error term

ε ~ N(0, 0.05

^{2}) is added.

### Input Domain:

This function is evaluated on the scaled input domain x_{i}∈ [0, 1], for all i = 1, …, 10.

### Code:

### Reference:

Linkletter, C., Bingham, D., Hengartner, N., Higdon, D., & Kenny, Q. Y. (2006). Variable selection for Gaussian process models in computer experiments. *Technometrics, 48*(4).

For questions or comments, please email Derek Bingham at: dbingham@stat.sfu.ca.

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