Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
ATZ-Fachkongress

Chassis.tech plus 2024


4 Kongresse in einer Veranstaltung

Treffen Sie in München die Fachleute von Chassis, Lenkung, Bremsen sowie Reifen/Räder.
Erweiterte Suche
Anmelden
nach oben
Measurement Techniques
Erschienen in: Measurement Techniques 5/2016

24.08.2016

Bias of Nonparametric Goodness-of-Fit Tests Relative to Certain Pairs of Competing Hypotheses

verfasst von: B. Yu. Lemeshko, P. Yu. Blinov, S. B. Lemeshko

Erschienen in: Measurement Techniques | Ausgabe 5/2016

Einloggen

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

search-config
loading …

Abstract

The application of the nonparametric Anderson–Darling, Cramer–Mises–Smirnov, Kuiper, Watson, Kolmogorov, and Zhang goodness-of-fit tests in verification of simple and composite hypotheses is considered. Based on an investigation of the power, it is shown for the first time that there exist pairs of competing hypotheses which these tests are not able to distinguish in the case of small sample sizes n and type 1 error probabilities. It is shown that the reason for this lies in the bias of the tests in corresponding situations.
Vorheriger Artikel Compressed-State Quantum Interferometer with Parametric Modulation of Kinetic Inductance
Nächster Artikel Fields of Effective Application of Statistical Methods of Processing the Results of Repeated Measurements

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!

Jetzt informieren

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!

Jetzt informieren
Literatur
1.
B. Yu. Lemeshko, Nonparametric Goodness-of-Fit Tests: Handbook on Applications, NITs INFRA-M, Moscow (2014), DOI: 10.12737/11873.
2.
L. N. Bol’shev and N. V. Smirnov, Tables of Mathematical Statistics, Nauka, Moscow (1983).MATH
3.
N. H. Kuiper, “Tests concerning random points on a circle,” Proc. Konikl. Nederl. Akad. Van Wettenschappen, Ser. A, 63, 38–47 (1960).MathSciNetMATH
4.
M. A. Stephens, “EDF statistics for goodness of fit and some comparisons,” J. Amer. Stat. Assoc., 69, No. 347, 730–737 (1974).CrossRef
5.
B. Yu. Lemeshko and A. A. Gorbunova, “On the application and power of the Kuiper, Watson, and Zhang nonparametric goodness-of-fit tests,” Izmer. Tekhn., No. 5, 3–9 (2013).
6.
7.
8.
T. W. Anderson and D. A. Darling, “Asymptotic theory of certain ‘goodness-of-fit’ criteria based on stochastic processes,” Ann. Math. Stat., 23, 193–212 (1952).MathSciNetCrossRefMATH
9.
10.
J. Zhang, Powerful Goodness-of-fit and Multi-sample Tests: PhD Thesis, York University, Toronto (2001).
11.
J. Zhang, “Powerful goodness-of-fit tests based on the likelihood ratio,” J. Roy. Stat. Soc.: Ser. B, 64, No. 2, 281–294 (2002).MathSciNetCrossRefMATH
12.
M. Kac, J. Kiefer, and J. Wolfowitz, “On tests of normality and other tests of goodness of fit based on distance methods,” Ann. Math. Stat., 26, 189–211 (1955).MathSciNetCrossRefMATH
13.
B. Yu. Lemeshko, S. B. Lemeshko, and S. N. Postovalov, “Statistic distribution models for some nonparametric goodness-of-fit tests in testing composite hypotheses,” Comm. Stat. Theory and Methods, 39, No. 3, 460–471 (2010).MathSciNetCrossRefMATH
14.
B. Yu. Lemeshko and S. B. Lemeshko, “Models of statistic distributions of nonparametric goodness-of-fit tests in composite hypotheses testing for double exponential law cases,” Comm. Stat. Theory and Methods, 40, No. 16, 2879–2892 (2011).MathSciNetCrossRefMATH
15.
B. Yu. Lemeshko and S. B. Lemeshko, “Models of distributions of statistics of nonparametric goodness-of-fit tests in verification of composite hypotheses with the use of maximum likelihood estimators. Part I,” Izmer. Tekhn., No. 6, 3–11 (2009).
16.
B. Yu. Lemeshko and S. B. Lemeshko, “Models of distributions of statistics of nonparametric goodness-of-fit tests in verification of composite hypotheses with the use of maximum likelihood estimators. Part II,” Izmer. Tekhn., No. 8, 17–26 (2009).
17.
B. Yu. Lemeshko, A. A. Gorbunova, S. B. Lemeshko, and A. R. Rogozhnikov, “Solving problems of using some nonparametric goodness-of-fit tests,” Optoelectr., Instrum. Data Proces., 50, 21–35 (2014).CrossRefMATH
18.
B. Yu. Lemeshko and A. A. Gorbunova, “Use of Kuiper and Watson nonparametric goodness-of-fit tests in verification of composite hypotheses,” Izmer. Tekhn., No. 9, 14–21 (2013).
19.
B. Yu. Lemeshko and S. B. Lemeshko, “A comparative analysis of tests for verification of deviation of a distribution from a normal law,” Metrologiya, No. 2, 3–24 (2005).
20.
B. Yu. Lemeshko and A. P. Rogozhnikov, “Investigation of features and power of certain normality tests,” Metrologiya, No. 4, 3–24 (2009).
21.
B. Yu. Lemeshko, Tests for Verification of Deviation of a Distribution from a Normal Law: Handbook on Applications, INFRA-M, Moscow (2015), DOI: 10.12737/6086.
22.
B. Yu. Lemeshko, P. Yu. Blinov, Tests for Verification of Deviation of a Distribution from a Normal Law: Handbook on Applications, INFRA-M, Moscow (2015), DOI: 10.12737/11304.
23.
GOST R 8.736–2011, Direct Repeated Measurements. Methods of Processing the Results of Measurements. Basic Assumptions.
24.
S. S. Antsyferov, M. S. Afanas’ev, and K. E. Rusanov, Processing the Results of Measurements: Teach. Aid, Izd. IKAR, Moscow (2014).
Metadaten
Titel
Bias of Nonparametric Goodness-of-Fit Tests Relative to Certain Pairs of Competing Hypotheses
verfasst von
B. Yu. Lemeshko
P. Yu. Blinov
S. B. Lemeshko
Publikationsdatum
24.08.2016
Verlag
Springer US
Erschienen in
Measurement Techniques / Ausgabe 5/2016
Print ISSN: 0543-1972
Elektronische ISSN: 1573-8906
DOI
https://doi.org/10.1007/s11018-016-0992-3

Weitere Artikel der Ausgabe 5/2016

Measurement Techniques 5/2016 Zur Ausgabe

OriginalPaper

Adaptive Signal Processing Method for Speech Organ Diagnostics

OriginalPaper

Dynamic Error of Piezoelectric Impact Accelerometers Attached to Elastic Gaskets

THERMAL MEASUREMENTS

Adequacy of Measurement Results in Accounting for Thermal Energy

OriginalPaper

Spectral Problems in the Monitoring of Distributed Safety Parameters of Objects in the Technosphere

OriginalPaper

Technique for Tuning Microwave Strip Devices

ELECTROMAGNETIC MEASUREMENTS

Indirect Measurement of Aggregate Primary Parameters of a Two-Wire Transmission Line