A new technique for constructing exact tolerance limits on future outcomes under parametric uncertainty

2018 ◽  
pp. 203-226 ◽  
Author(s):  
N.A. Nechval ◽  
K.N. Nechval ◽  
G. Berzins
Keyword(s):  
Parametric Uncertainty ◽  
New Technique ◽  
Tolerance Limits ◽  
A New Technique ◽  
Future Outcomes

Intelligent Constructing Exact Tolerance Limits for Prediction of Future Outcomes Under Parametric Uncertainty

2021 ◽  
pp. 701-729
Author(s):  
Nicholas A. Nechval
Keyword(s):  
Parametric Uncertainty ◽  
Statistical Problem ◽  
Tolerance Limits ◽  
Novel Technique ◽  
Simulation Monte Carlo ◽  
Statistical Tolerance ◽  
Future Outcomes ◽  
Tolerance Factors ◽  
Two Parameter ◽  
Future Sample

The problem of constructing one-sided exact statistical tolerance limits on the kth order statistic in a future sample of m observations from a distribution of log-location-scale family on the basis of an observed sample from the same distribution is considered. The new technique proposed here emphasizes pivotal quantities relevant for obtaining tolerance factors and is applicable whenever the statistical problem is invariant under a group of transformations that acts transitively on the parameter space. The exact tolerance limits on order statistics associated with sampling from underlying distributions can be found easily and quickly making tables, simulation, Monte Carlo estimated percentiles, special computer programs, and approximation unnecessary. Finally, numerical examples are given, where the tolerance limits obtained by using the known methods are compared with the results obtained through the proposed novel technique, which is illustrated in terms of the extreme-value and two-parameter Weibull distributions.

A new technique for the mapping of oxygen tension on the brain surface

2005 ◽  
Vol 25 (1_suppl) ◽  
pp. S543-S543
Author(s):  
Satoshi Kimura ◽  
Keigo Matsumoto ◽  
Yoshio Imahori ◽  
Katsuyoshi Mineura ◽  
Toshiyuki Itoh
Keyword(s):  
Oxygen Tension ◽  
New Technique ◽  
Brain Surface ◽  
A New Technique ◽  
The Brain
Sign in / Sign up

Export Citation Format

Share Document