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A Sequentıal Test For The Mean Dırectıon Applıed To Cırcular Data And An Applıcatıon

Year 2007, Volume: 20 Issue: 2, 1 - 14, 31.12.2007

Kadir Özgür Peker Sevil Bacanlı

Abstract

In this study, a sequential test for circular data is considered. The theoretical details, operating characteristic function and average sample number function of the Sequential Probability Ratio Test for the von Mises distribution are given. Also, an illustrative application of the test is performed on a generated data. Finally, the results obtained from the application are evaluated and some interpretations of how to use this test are given. 

Keywords

Circular data von Mises distribution Mean direction Sequential probability ratio test. .

References

  • [1] N.I. Fisher, “Statistical analysis of circular data”, Cambridge University Press, Cambridge, Great Britain, 1993.
  • [2] R.J. Gadsden., and G.K. Kanji., “Sequential analysis for angular data”, The Statistician, 30, No. 2, 119-29, 1981.
  • [3] R.J. Gadsden., ve G.K. Kanji., “Sequential analysis applied to circular data”, Commun. Statist.-Sequential Analysis, 1(4), 304-314, 1982-83.
  • [4] K.V. Mardia., “Statistics of directional data”, Academic Press, London, England, 1972.
  • [5] K.Ö. Peker., “Dairesel Veriler ve Ardışık Testlerde Kullanımı”, Anadolu Üniversitesi Fen Bilimleri Enstitüsü Doktora Tezi, Eskişehir, 2002.
  • [6] K.Ö.Peker., S. Bacanlı., “Dairesel Verilere Uygulanan Tanımlayıcı İstatistiksel Yöntemler ve Meteorolojik Bir Uygulama”, Anadolu Üniversitesi Bilim ve Teknoloji Dergisi, Cilt/Vol.: 5 – Sayı/No: 2 : 343-349, 2004.
  • [7] A. Wald., “Sequential analysis”, John Wiley & Sons Inc., New York, USA, 1947.
  • [8] G.B. Wetherill., “Sequential methods in statistics”, Chapman & Hall, London, England, 1975

A Sequentıal Test For The Mean Dırectıon Applıed To Cırcular Data And An Applıcatıon

Year 2007, Volume: 20 Issue: 2, 1 - 14, 31.12.2007

Kadir Özgür Peker Sevil Bacanlı

Abstract

In this study, a sequential test for circular data is considered. The theoretical details, operating characteristic function and average sample number function of the Sequential Probability Ratio Test for the von Mises distribution are given. Also, an illustrative application of the test is performed on a generated data. Finally, the results obtained from the application are evaluated and some interpretations of how to use this test are given. 

Keywords

Circular data von Mises distribution Mean direction Sequential probability ratio test. .

References

  • [1] N.I. Fisher, “Statistical analysis of circular data”, Cambridge University Press, Cambridge, Great Britain, 1993.
  • [2] R.J. Gadsden., and G.K. Kanji., “Sequential analysis for angular data”, The Statistician, 30, No. 2, 119-29, 1981.
  • [3] R.J. Gadsden., ve G.K. Kanji., “Sequential analysis applied to circular data”, Commun. Statist.-Sequential Analysis, 1(4), 304-314, 1982-83.
  • [4] K.V. Mardia., “Statistics of directional data”, Academic Press, London, England, 1972.
  • [5] K.Ö. Peker., “Dairesel Veriler ve Ardışık Testlerde Kullanımı”, Anadolu Üniversitesi Fen Bilimleri Enstitüsü Doktora Tezi, Eskişehir, 2002.
  • [6] K.Ö.Peker., S. Bacanlı., “Dairesel Verilere Uygulanan Tanımlayıcı İstatistiksel Yöntemler ve Meteorolojik Bir Uygulama”, Anadolu Üniversitesi Bilim ve Teknoloji Dergisi, Cilt/Vol.: 5 – Sayı/No: 2 : 343-349, 2004.
  • [7] A. Wald., “Sequential analysis”, John Wiley & Sons Inc., New York, USA, 1947.
  • [8] G.B. Wetherill., “Sequential methods in statistics”, Chapman & Hall, London, England, 1975
There are 8 citations in total.

Details

Journal Section Research Articles
Authors

Kadir Özgür Peker This is me

Sevil Bacanlı

Publication Date December 31, 2007
Acceptance Date July 9, 2006
Published in Issue Year 2007 Volume: 20 Issue: 2

Cite

APA Peker, K. Ö., & Bacanlı, S. (2007). A Sequentıal Test For The Mean Dırectıon Applıed To Cırcular Data And An Applıcatıon. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi, 20(2), 1-14.
AMA Peker KÖ, Bacanlı S. A Sequentıal Test For The Mean Dırectıon Applıed To Cırcular Data And An Applıcatıon. ESOGÜ Müh Mim Fak Derg. December 2007;20(2):1-14.
Chicago Peker, Kadir Özgür, and Sevil Bacanlı. “A Sequentıal Test For The Mean Dırectıon Applıed To Cırcular Data And An Applıcatıon”. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi 20, no. 2 (December 2007): 1-14.
EndNote Peker KÖ, Bacanlı S (December 1, 2007) A Sequentıal Test For The Mean Dırectıon Applıed To Cırcular Data And An Applıcatıon. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 20 2 1–14.
IEEE K. Ö. Peker and S. Bacanlı, “A Sequentıal Test For The Mean Dırectıon Applıed To Cırcular Data And An Applıcatıon”, ESOGÜ Müh Mim Fak Derg, vol. 20, no. 2, pp. 1–14, 2007.
ISNAD Peker, Kadir Özgür - Bacanlı, Sevil. “A Sequentıal Test For The Mean Dırectıon Applıed To Cırcular Data And An Applıcatıon”. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 20/2 (December 2007), 1-14.
JAMA Peker KÖ, Bacanlı S. A Sequentıal Test For The Mean Dırectıon Applıed To Cırcular Data And An Applıcatıon. ESOGÜ Müh Mim Fak Derg. 2007;20:1–14.
MLA Peker, Kadir Özgür and Sevil Bacanlı. “A Sequentıal Test For The Mean Dırectıon Applıed To Cırcular Data And An Applıcatıon”. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi, vol. 20, no. 2, 2007, pp. 1-14.
Vancouver Peker KÖ, Bacanlı S. A Sequentıal Test For The Mean Dırectıon Applıed To Cırcular Data And An Applıcatıon. ESOGÜ Müh Mim Fak Derg. 2007;20(2):1-14.
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