Interest in transform methods for normalising test statistics declined with the advent of computers. More recently, small-sample asymptotic methods have been developed to approximate the distributions of complicated test statistics. We propose a generalisation of a classical symmetrising...

Poisson approximations are important whenever interest is in some counting process. Barbour et al. (Poisson Approximation, Oxford University Press, New York, 1992), Barbour and Jensen (Scand. J. Statist. 16 (1989) 75), and Kathman and Terrell (J. Statist. Plann. Inference 104(2) (2002) 315) have...

In modern quality engineering, dual response surface methodology is a powerful tool to model an industrial process by using both the mean and the standard deviation of the measurements as the responses. The least squares method in regression is often used to estimate the coefficients in the mean...