EN 12603:2002

Glass in building - Procedures for goodness of fit and confidence intervals for Weibull distributed glass strength data

This standard describes procedures of evaluation of sample data by means of a two-parameter WEIBULL distribution function.

Glas im Bauwesen - Bestimmung der Biegefestigkeit von Glas - Schätzverfahren und Bestimmung der Vertrauensbereiche für Daten mit Weibull-Verteilung

Die vorliegende Europäische Norm legt Verfahren für die Auswertung von Stichprobenergebnissen mit der zweiparametrigen Weibull Verteilungsfunktion fest.

Verre dans la construction - Procédures de validité de l'ajustement et intervalles de confiance des données de résistance du verre au moyen de la loi de Weibull

La présente Norme européenne spécifie les procédures d'évaluation des données d'échantillon au moyen d'une fonction de la loi de Weibull à deux paramètres.

Steklo v stavbah – Postopki ugotavljanja upogibne trdnosti in intervala zaupanja za podatke z Weibullovo porazdelitvijo

General Information

• Status: Published
• Publication Date: 19-Nov-2002
• Withdrawal Date: 30-May-2003
• ICS: 81.040.20 - Glass in building
• ICS: 91.100.99 - Other construction materials
• Technical Committee: CEN/TC 129 - Glass in building
• Drafting Committee: CEN/TC 129/WG 8 - Mechanical strength
• Current Stage: 9060 - Closure of 2 Year Review Enquiry - Review Enquiry
• Start Date: 02-Sep-2017
• Completion Date: 02-Sep-2017
• Directive: 305/2011 - Regulation (eu) No 305/2011 of the European Parliament and of the Council of 9 march 2011 laying down harmonised conditions for the marketing of construction products and repealing council directive 89/106/eec
• Directive: 89/106/EEC - Construction products
• Ref Project: SIST EN 12603:2004 - Glass in building - Procedures for goodness of fit and confidence intervals for Weibull distributed glass strength data

Standards Content (Sample)

2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.Steklo v stavbah – Postopki ugotavljanja upogibne trdnosti in intervala zaupanja za podatke z Weibullovo porazdelitvijoGlas im Bauwesen - Bestimmung der Biegefestigkeit von Glas - Schätzverfahren und Bestimmung der Vertrauensbereiche für Daten mit Weibull-VerteilungVerre dans la construction - Procédures de validité de l'ajustement et intervalles de confiance des données de résistance du verre au moyen de la loi de WeibullGlass in building - Procedures for goodness of fit and confidence intervals for Weibull distributed glass strength data81.040.20Steklo v gradbeništvuGlass in buildingICS:Ta slovenski standard je istoveten z:EN 12603:2002SIST EN 12603:2004en01-september-2004SIST EN 12603:2004SLOVENSKI
STANDARD
EUROPEAN STANDARDNORME EUROPÉENNEEUROPÄISCHE NORMEN 12603November 2002ICS 81.040.20English versionGlass in building - Procedures for goodness of fit andconfidence intervals for Weibull distributed glass strength dataVerre dans la construction - Procédures de validité del'ajustement et intervalles de confiance des données derésistance du verre au moyen de la loi de WeibullGlas im Bauwesen - Bestimmung der Biegefestigkeit vonGlas - Schätzverfahren und Bestimmung derVertrauensbereiche für Daten mit Weibull-VerteilungThis European Standard was approved by CEN on 7 September 2002.CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this EuropeanStandard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such nationalstandards may be obtained on application to the Management Centre or to any CEN member.This European Standard exists in three official versions (English, French, German). A version in any other language made by translationunder the responsibility of a CEN member into its own language and notified to the Management Centre has the same status as the officialversions.CEN members are the national standards bodies of Austria, Belgium, Czech Republic, Denmark, Finland, France, Germany, Greece,Iceland, Ireland, Italy, Luxembourg, Malta, Netherlands, Norway, Portugal, Spain, Sweden, Switzerland and United Kingdom.EUROPEAN COMMITTEE FOR STANDARDIZATIONCOMITÉ EUROPÉEN DE NORMALISATIONEUROPÄISCHES KOMITEE FÜR NORMUNGManagement Centre: rue de Stassart, 36
B-1050 Brussels© 2002 CENAll rights of exploitation in any form and by any means reservedworldwide for CEN national Members.Ref. No. EN 12603:2002 ESIST EN 12603:2004

Examples.23A.1Uncensored sample.23A.1.1Data.23A.1.2Statistical evaluation.24A.2Censored sample.27A.2.1Data.27A.2.2Statistical evaluation.29Annex B (informative)
Weibull graph.32Bibliography.33SIST EN 12603:2004

For this reason, the user of the standard has tocheck by a goodness of fit test whether the measured data of a sample can be represented by means of one singleWeibull function.
Only in this case can the hypothesis be accepted and the procedures described in this standard beapplied.The user decides on this question also considering all previous relevant data and the general state of knowledge in thespecial field.
Every extrapolation into ranges of fractiles not confirmed by measured values requires utmost care, themore so the farther the extrapolation exceeds the range of measurements.NOTEThe three-parameter Weibull function is:úúûùêêëé÷øöçèæ---=bq0exp1)(xxxG(1)If xo = 0 is assumed, the two-parameter Weibull function results:úúûùêêëé÷øöçèæ--=bqxxGexp1)((2)which can be written as:bq1)(11lnúûùêëé÷÷øöççèæ-=xGx(3)The calculation can be based either on an uncensored or a censored sample.
There are several methods of censoring.In this standard only the following method of censoring is considered:- given a number r < n of specimens of which attribute values xi were measured.SIST EN 12603:2004

Thesenormative references are cited at the appropriate places in the text, and the publications are listed hereafter. For datedreferences, subsequent amendments to or revisions of any of these publications apply to this European Standard onlywhen incorporated in its amendment or revision.
For undated reference, the latest edition of the publications referred toapplies (including amendments).ISO 2854:1976, Statistical interpretation of data - Techniques of estimation and tests relating to means and variances.ISO 3534, Statistics - Vocabulary and symbols.3 Terms and definitionsFor the purposes of this European Standard, the terms and definitions given in ISO 3534 apply.4 Symbols and abbreviated termsXattribute taken into consideration;x, xi, xrvalues of X;G(x)distribution function of X = percentage of failure;xo, b, qparameters of the three-parameter Weibull function;^identification label for point estimators (e.g. bˆ, qˆ, Gˆ);1-aconfidence level;ivalue used in the goodness of fit test;Lvalue used in the goodness of fit test;nsample size;rnumber of specimens of which attribute values xi were measured;NOTEThe sample is ordered, i.e. x1 £ x2 £ x3 .
£ xrr
£
n;f,f1,f2degrees of freedom;kn,kr;nfactors used in estimating bˆ;SIST EN 12603:2004
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