## Advanced Mathematical and Computational Tools in Metrology VIThis volume collects refereed contributions based on the presentations made at the Sixth Workshop on Advanced Mathematical and Computational Tools in Metrology, held at the Istituto di Metrologia OC G. ColonnettiOCO (IMGC), Torino, Italy, in September 2003. It provides a forum for metrologists, mathematicians and software engineers that will encourage a more effective synthesis of skills, capabilities and resources, and promotes collaboration in the context of EU programmes, EUROMET and EA projects, and MRA requirements. It contains articles by an important, worldwide group of metrologists and mathematicians involved in measurement science and, together with the five previous volumes in this series, constitutes an authoritative source for the mathematical, statistical and software tools necessary to modern metrology. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences." |

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### Contents

Estimation of Precision and Uncertainty of a Calibration 1 | vi |

Uncertainty in SemiQualitative Testing | 16 |

Processing the Coherent Anomalies on Digitalized Surfaces in | 24 |

Least Squares Adjustment in the Presence of Discrepant Data | 37 |

Harmonization of Correlated Calibration Curves with an | 52 |

Parametrized Approximation Estimators for Mixed Noise Distributions | 67 |

Algorithms for the Calibration of LaserPlane Sensors on CMMs | 82 |

Some Differences between the Applied Statistical Approach for | 98 |

The GUM Tree Design Pattern for Uncertainty Software | 199 |

The Impact of Entropy Optimization Principles on the Probability | 219 |

CompoundModelling of Metrological Data Series | 240 |

Homotopic Solution of EWTLS Problems | 251 |

Graphical and Statistical Tools for | 264 |

Bayesian Approach to Quantum State Tomography | 279 |

Comparison of LS Techniques for the Linear Approximation of | 293 |

A New Approach to the Presentation of the Result Measurements in | 309 |

Metrology Software for the Expression of Measurement Results by | 106 |

Feasibility Study of Using Bootstrap to Compute the Uncertainty | 122 |

Recursive and Parallel Algorithms for Approximating Surface Data | 137 |

On the InUse Uncertainty of an Instrument | 159 |

Usage of NonCentral Probability Distributions for Data Analysis | 180 |

Interpolation Equations for Industrial Platinum Resistance Thermometers | 318 |

Template Matching in Passive Sonar Recognition | 333 |

349 | |

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2004 World Scientific analysis applied approach approximation artefact associated bootstrap calibration curves Ciarlini coefficients comparison computed considered coordinates correction corresponding covariance coverage interval defined density derivatives E-mail equation error estimate example experimental F Pavese factor Figure fixed point function G B Rossi Hessian matrix implementation instrument KCRV Laboratory least squares linear lines or curves M G Cox M. G. Cox mathematical mean measurand measurement results measurement uncertainty median method metrology module National Physical Laboratory noise normal normal distribution null hypothesis obtained parameters Pavese & G B probability distribution problem procedure random variables reference value requirements sample Scientific Publishing Company sensor solution specific standard deviation standard uncertainty statistical stochastic surface Table techniques temperature Tools in Metrology Torino total bootstrap Total Least Squares uncertainty evaluation uncertainty matrix University of Huddersfield validation vector weights World Scientific Publishing