THE BEST MEASURAND ESTIMATORS OF TRAPEZOIDAL PDF |
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| Warsza Zygmunt Lech, Galovska Maryna |
- Abstract:
- The basic estimators of trapezoidal probability distributions of the measured data are considered and approaches for theirs evaluation are proposed. For symmetrical trapezoidal PDF of straight as well curved sides, using Monte-Carlo method of simulation, the standard deviation (SD) of some chosen 1- and 2-component estimators are evaluated It is established that in the ratio of upper and bottom bases of trapezoidal PDF in the range from 1 to 0.35 the most accurate is the mid-range value. Below this range smaller is the standard deviation (SD) of the mean value. The best for the whole family of the symmetric linear trapezium PDF are two-component (2C) estimators as the linear form of the mean and mid-range values of the sample. Their coefficients are found, properties discussed and formulas of SD are given. The new simplified 2C-estimator of equal coefficients is also proposed. These estimators successfully extend estimation of the measurand value as the sample mean and description of its accuracy by the uncertainty type A recommended in the international guide ISO GUM. Approaches of investigation could be effectively applied for some other models of PDF.
- Keywords:
- estimators of probability density function, trapezoid PDF, mid-range, uncertainty evaluation
- Download:
- IMEKO-WC-2009-TC21-513.pdf
- DOI:
- -
- Event details
- Event name:
- XIX IMEKO World Congress
- Title:
Fundamental and Applied Metrology
- Place:
- Lisbon, PORTUGAL
- Time:
- 06 September 2009 - 11 September 2009