The function is an $M$-dimensional reliability test function and used in the work of Du and Sudjianto (2004)[^Du2004] with three different settings:
$M = 2$ and $M = 10$ with standard exponential distribution as the inputs.
$M = 3$ one of the input distribution is of a Weibull distribution.
$M = 3$ with a Weibull distribution as the inputs.
[^Du2004]: X. Du and A. Sudjianto, “First Order Saddlepoint Approximation for Reliability Analysis,” AIAA Journal, vol. 42, no. 6, pp. 1199–1207, Jun. 2004, doi: 10.2514/1.3877.
The function is an $M$-dimensional reliability test function and used in the work of Du and Sudjianto (2004)[^Du2004] with three different settings:
[^Du2004]: X. Du and A. Sudjianto, “First Order Saddlepoint Approximation for Reliability Analysis,” AIAA Journal, vol. 42, no. 6, pp. 1199–1207, Jun. 2004, doi: 10.2514/1.3877.