Skip to main content

2018 | OriginalPaper | Buchkapitel

Acceptance-Sampling Plans for Reducing the Risk Associated with Chemical Compounds

verfasst von : Fernanda Figueiredo, Adelaide Figueiredo, M. Ivette Gomes

Erschienen in: Recent Studies on Risk Analysis and Statistical Modeling

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In various manufacturing industries it is important to investigate the presence of some chemical or harmful substances in lots of raw material or final products, in order to evaluate if they are in conformity to requirements. In this work we highlight the adequacy of the inflated Pareto distribution to model measurements obtained by chromatography, and we define and evaluate acceptance-sampling plans under this distributional setup for lots of large dimension. Some technical results associated with the construction and evaluation of such sampling plans are provided as well as an algorithm for an easy implementation of the sampling plan that exhibits the best performance.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Aitchison, J.: On the distribution of a positive random variable having a discrete probability mass at the origin. J. Am. Stat. Assoc. 50, 901–908 (1955)MathSciNetMATH Aitchison, J.: On the distribution of a positive random variable having a discrete probability mass at the origin. J. Am. Stat. Assoc. 50, 901–908 (1955)MathSciNetMATH
2.
Zurück zum Zitat Baksh, M.F., Bohning, D., Lerdsuwansri, R.: An extension of an over-dispersion test for count data. Comput. Stat. Data Anal. 55, 466–474 (2011)MathSciNetCrossRef Baksh, M.F., Bohning, D., Lerdsuwansri, R.: An extension of an over-dispersion test for count data. Comput. Stat. Data Anal. 55, 466–474 (2011)MathSciNetCrossRef
3.
Zurück zum Zitat Carolino, E., Barão, I.: Robust methods in acceptance sampling. REVSTAT 11(1), 67–82 (2013)MathSciNet Carolino, E., Barão, I.: Robust methods in acceptance sampling. REVSTAT 11(1), 67–82 (2013)MathSciNet
4.
Zurück zum Zitat Efron, B., Tibshirani, R.J.: An Introduction to the Bootstrap. Chapman and Hall, London (1993)CrossRef Efron, B., Tibshirani, R.J.: An Introduction to the Bootstrap. Chapman and Hall, London (1993)CrossRef
5.
Zurück zum Zitat Figueiredo, F., Figueiredo, A., Gomes, M.I.: Comparison of sampling plans by variables using the bootstrap and Monte Carlo simulations. AIP Conf. Proc. 1618, 535–538 (2014)CrossRef Figueiredo, F., Figueiredo, A., Gomes, M.I.: Comparison of sampling plans by variables using the bootstrap and Monte Carlo simulations. AIP Conf. Proc. 1618, 535–538 (2014)CrossRef
6.
Zurück zum Zitat Gomes, M.I.: Acceptance sampling. In: Lovric, M. (ed.), International Encyclopedia of Statistical Science, Part 1, pp. 5–7. Springer, Berlin (2011)CrossRef Gomes, M.I.: Acceptance sampling. In: Lovric, M. (ed.), International Encyclopedia of Statistical Science, Part 1, pp. 5–7. Springer, Berlin (2011)CrossRef
7.
Zurück zum Zitat Lachenbruch, P.A.: Comparison of two-part models with competitors. Stat. Med. 20, 1215–1234 (2001)CrossRef Lachenbruch, P.A.: Comparison of two-part models with competitors. Stat. Med. 20, 1215–1234 (2001)CrossRef
8.
Zurück zum Zitat Loganathan, A., Shalini, B.K.: Determination of single sampling plans by attributes under the conditions of zero-inflated Poisson distribution. Commun. Stat. Simul. Comput. 43, 538–548 (2014)MathSciNetCrossRef Loganathan, A., Shalini, B.K.: Determination of single sampling plans by attributes under the conditions of zero-inflated Poisson distribution. Commun. Stat. Simul. Comput. 43, 538–548 (2014)MathSciNetCrossRef
9.
Zurück zum Zitat Montgomery, D.C.: Introduction to Statistical Quality Control: A Modern Introduction, 6th edn. Wiley, London (2009)MATH Montgomery, D.C.: Introduction to Statistical Quality Control: A Modern Introduction, 6th edn. Wiley, London (2009)MATH
10.
Zurück zum Zitat Owen, W.J., DeRouen, T.A.: Estimation of the mean for lognormal data containing zeros and left-censored values, with applications to the measurement of worker exposure to air contaminants. Biometrics 36(4), 707–719 (1980)CrossRef Owen, W.J., DeRouen, T.A.: Estimation of the mean for lognormal data containing zeros and left-censored values, with applications to the measurement of worker exposure to air contaminants. Biometrics 36(4), 707–719 (1980)CrossRef
12.
Zurück zum Zitat Ryan, T.P.: Statistical Methods for Quality Improvement, 2nd edn. Wiley, London (2000)MATH Ryan, T.P.: Statistical Methods for Quality Improvement, 2nd edn. Wiley, London (2000)MATH
13.
Zurück zum Zitat Sileshi, G.: The excess-zero problem in soil animal count data and choice of appropriate models for statistical inference. Pedobiologia 52, 1–17 (2008)CrossRef Sileshi, G.: The excess-zero problem in soil animal count data and choice of appropriate models for statistical inference. Pedobiologia 52, 1–17 (2008)CrossRef
14.
Zurück zum Zitat Whitaker, T.B., Doko, M.B., Maestroni, B.M., Ogunbanwo, B.F.: Evaluating the performance of sampling plans to detect Fumonisin B1 in maize lots marketed in Nigeria. J. AOAC Int. 90(4), 1050–1059 (2007) Whitaker, T.B., Doko, M.B., Maestroni, B.M., Ogunbanwo, B.F.: Evaluating the performance of sampling plans to detect Fumonisin B1 in maize lots marketed in Nigeria. J. AOAC Int. 90(4), 1050–1059 (2007)
15.
Zurück zum Zitat Zidan, M., Wang, J.-C., Niewiadomska-Bugaj, M.: Comparison of k independent, zero-heavy lognormal distributions. Can. J. Stat. 39(4), 690–702 (2011)MathSciNetCrossRef Zidan, M., Wang, J.-C., Niewiadomska-Bugaj, M.: Comparison of k independent, zero-heavy lognormal distributions. Can. J. Stat. 39(4), 690–702 (2011)MathSciNetCrossRef
Metadaten
Titel
Acceptance-Sampling Plans for Reducing the Risk Associated with Chemical Compounds
verfasst von
Fernanda Figueiredo
Adelaide Figueiredo
M. Ivette Gomes
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-76605-8_7

Premium Partner