The Joint Distribution of the Mean and an Extremum of a Normal Sample, With Applications to Quality Control
In some industrial applications one compares a sample mean and minimum, or a mean and maximum, to reference values, and determines if the lot from which the sample was taken is acceptable, of if further investigation of this lot is indicated. With these applications in mind, this article develops a saddlepoint approximation to the joint distribution of the mean and an extremum of a normal sample. Tables are provided, and their use is illustrated by an example.
Journal of the American Statistical Association
acceptance testing, control chart, saddlepoint
The Joint Distribution of the Mean and an Extremum of a Normal Sample, With Applications to Quality Control, Journal of the American Statistical Association
(Accessed June 2, 2023)