Browsing by Author "Grientschnig, Dieter"

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    Coverage intervals according to MARLAP, Bayesian statistics and the new ISO 11929 for ionising radiation measurements
    (PERGAMON-ELSEVIER SCIENCE LTD, 2012) Grientschnig, Dieter; Lira, Ignacio
    The coverage intervals stipulated by ISO 11929 (2010) for estimating the uncertainty from ionising radiation measurements of replicate samples are compared with those of MARLAP (= Multi-Agency Radiological Laboratory Analytical Protocols Manual) and of Bayesian statistics. The latter two intervals agree well despite their different concepts. Whereas for either of them the ratio of the length of the coverage interval and MARLAP's standard uncertainty grows when the number of samples decreases, no such growth arises for the interval mandated by ISO 11929 (2010). It may therefore be too short (e.g. for three samples by a factor of approximately 2). (C) 2011 Elsevier Ltd. All rights reserved.
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    Non-informative priors in GUM Supplement 1
    (ELSEVIER SCI LTD, 2011) Lira, Ignacio; Grientschnig, Dieter
    Supplement 1 to the 'Guide to the Expression of Uncertainty in Measurement' (GUM S1) proposes a Monte Carlo method for the propagation of the probability density functions (PDFs) assigned to the input quantities that are related to an output quantity through a measurement model. Guidance is provided in GUM Si for assigning PDFs to the input quantities for which data but no prior knowledge are available. The procedure relies on Bayes' theorem and on the use of appropriate non-informative priors. An inconsistency in the choice of such priors is pointed out. (C) 2011 Elsevier Ltd. All rights reserved.
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    The Cosine Error: A Bayesian Procedure for Treating a Non-repetitive Systematic Effect
    (2016) Lira Canguilhem, Ignacio; Grientschnig, Dieter