## Lim et al. (2002) Nonpolynomial Function

### Description:

*Dimensions: 2*

This function is an example of a nonpolynomial model which exhibits a shape similar to that of a multivariate polynomial. Lim et al. (2002) compare predictions from this function with predictions from the Lim et al. (2002) Polynomial Function, due to the similarity in their shapes and y-ranges.

### Input Domain:

The function is evaluated on the square x_{i}∈ [0, 1], for all i = 1, 2.

### Modifications and Alternate Forms:

This function is a rescaled version of the one that appears in Welch et al. (1992).### Code:

### References:

Lim, Y. B., Sacks, J., Studden, W. J., & Welch, W. J. (2002). Design and analysis of computer experiments when the output is highly correlated over the input space. *Canadian Journal of Statistics, 30*(1), 109-126.

Welch, W. J., Buck, R. J., Sacks, J., Wynn, H. P., Mitchell, T. J., & Morris, M. D. (1992). Screening, predicting, and computer experiments. *Technometrics, 34*(1), 15-25.

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

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