Setting Test Limits Under Prescribed Consumer Loss.
Shape factor extremes for prolate spheroids
Microscopic prolate spheroids in a given volume of an opaque material are considered. The extremes of the shape factor of the spheroids are studied. The profiles of the spheroids are observed on a random planar section and based on these observations we want to estimate the distribution of the extremal shape factor of the spheroids. We show that under a tail uniformity condition the Maximum domain of attraction is stable. We discuss the normalising constants (n.c.) for the extremes of the spheroid...
Sorting and cost analysis of reworking items in rejected lots based on non-destructive variable sampling plan.
Statistical methods applied for materials selection.
Stereology of extremes; size of spheroids
The prediction of size extremes in Wicksell’s corpuscle problem with oblate spheroids is considered. Three-dimensional particles are represented by their planar sections (profiles) and the problem is to predict their extremal size under the assumption of a constant shape factor. The stability of the domain of attraction of the size extremes is proved under the tail equivalence condition. A simple procedure is proposed of evaluating the normalizing constants from the tail behaviour of appropriate...
Sur le contrôle par mesures dans le cas de deux limites de tolérance combinées écart-type connu