{"title":"A Closed-Form Solution for Quadratic Distribution Uncetainty from Containment Limits and Probability","authors":"M. Kuster","doi":"10.51843/wsproceedings.2013.57","DOIUrl":null,"url":null,"abstract":"Metrologists may obtain Type B uncertainties from such engineering estimates as “The error falls within 2 units 50% of the time.” The procedure requires selecting an appropriate distribution and determining its standard deviation in terms of the containment limits and probability. The latest revision of NCSLI Recommended Practice RP-12, “Determining and Reporting Measurement Uncertainty”, provides such equations for the normal, student’s t, quadratic, cosine, triangular, trapezoidal, u-shaped, and utility distributions. This paper summarizes the Type B estimation procedure, presents the previously unknown quadratic distribution solution discovered during RP-12 development for symmetric, asymmetric, and single-sided containment limits, and gives example uses.","PeriodicalId":445779,"journal":{"name":"NCSL International Workshop & Symposium Conference Proceedings 2013","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"NCSL International Workshop & Symposium Conference Proceedings 2013","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.51843/wsproceedings.2013.57","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Metrologists may obtain Type B uncertainties from such engineering estimates as “The error falls within 2 units 50% of the time.” The procedure requires selecting an appropriate distribution and determining its standard deviation in terms of the containment limits and probability. The latest revision of NCSLI Recommended Practice RP-12, “Determining and Reporting Measurement Uncertainty”, provides such equations for the normal, student’s t, quadratic, cosine, triangular, trapezoidal, u-shaped, and utility distributions. This paper summarizes the Type B estimation procedure, presents the previously unknown quadratic distribution solution discovered during RP-12 development for symmetric, asymmetric, and single-sided containment limits, and gives example uses.