1. bookVolume 9 (2009): Issue 4 (August 2009)
Journal Details
License
Format
Journal
eISSN
1335-8871
First Published
07 Mar 2008
Publication timeframe
6 times per year
Languages
English
access type Open Access

Interval Estimators of the Centre and Width of a Two-Dimensional Microstructure

Published Online: 03 Sep 2009
Volume & Issue: Volume 9 (2009) - Issue 4 (August 2009)
Page range: 90 - 92
Journal Details
License
Format
Journal
eISSN
1335-8871
First Published
07 Mar 2008
Publication timeframe
6 times per year
Languages
English
Interval Estimators of the Centre and Width of a Two-Dimensional Microstructure

In metrology it is used to estimate the stipulated quantity as a mean and its uncertainty. This procedure is legitimate when the evaluated data are symmetrically distributed and the distribution is (at least approximately) known. But there exist many evaluating treatments in which the evaluated values are non-symmetrically distributed. In this case it is mathematically correct to use an interval estimator for the stipulated (measured) quantity i.e. to evaluate the (1-α)-confidence interval for the (true) stipulated (measured) quantity. This (random) interval covers with probability 1-α the (true) stipulated quantity. In the paper are presented interval estimators for some parameters of two-dimensional structures.

Keywords

Cramér, H. (1946). Mathematical Methods of Statistics. Princeton: Princeton University Press.Search in Google Scholar

ISO - International Organization for Standardization. (1995). Guide to the Expression of Uncertainty of Measurement (GUM). ISBN 91-67-10188-9. Geneve, Switzerland.Search in Google Scholar

Mood, R.M., Graybill, F.A., Boes, D. (1974). Introduction to the Theory of Statistics (3rd Edition). McGraw Hill Companies.Search in Google Scholar

Köning, R. (2007). Photoelectric signal from the 4 μm wide reflective line in the PTB Nanokomparator. (Private communication), 2007.Search in Google Scholar

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