Statistical processing of very small random circle samples

Authors

  • Светлана Виталиевна Шенгур National Aviation University, 1, Avenue Kosmonavta Komarova, Kyiv, Ukraine, 03680, Ukraine

DOI:

https://doi.org/10.15587/2312-8372.2014.21700

Keywords:

random circle, sample circular characteristics, uncertainty, bootstrap

Abstract

This article represents the statistical analysis of the very small random circle samples. The main purpose of the paper is to develop and experimentally investigate the new technique of statistical processing of circular data, received from various sources and spheres of activity. The bootstrapping is chosen as the basis method. The developed technique allows obtaining sample circular mean direction and its confidence interval. The usage of the proposed technique allows improving the accuracy of the confidence interval for the mean direction in comparison with traditional method. The research results can be applied for further investigations in scientific researches or used as independent development in such areas as metrology, biotechnology, medicine, economics, aviation, radiolocation etc.

Author Biography

Светлана Виталиевна Шенгур, National Aviation University, 1, Avenue Kosmonavta Komarova, Kyiv, Ukraine, 03680

Candidate of Technical Sciences, assistant professor

Department of the Informational Measurement Systems

References

  1. ДСТУ 2681-94. Метрологія. Терміни та визначення [Текст]. – Чин. з 1995-01-01. – К.: Держстандарт України, 1994. – 68 с.
  2. Guide to the expression of uncertainty in measurement (GUM) [Text]. – First edition. – ISO, 1993. – 101 p.
  3. Куц, Ю. В. Статистична фазометрія [Текст] / Ю. В. Куц, Л. М. Щербак. – В.: Тернопіль, 2009. – 383 с.
  4. Fisher, N. I. Statistical analysis of circular data [Text] / N. I. Fisher. – Cambridge: Cambridge University Press, 2000. – 277 p.
  5. Шенгур, С. В. Опрацювання вибірок випадкових кутів з апріорно невідомого розподілу [Текст] / С. В. Шенгур // Системи обробки інформації. – 2013. – Вип. 8. – С. 130-135.
  6. Efron, B. An introduction to the bootstrap [Text] / B. Efron, R. Tibshirani. – Boca Raton, FL: Chapman&Hall/CRC, 1993. – 436 p.
  7. Куц, Ю. В. Подання результату кутових вимірювань в концепції невизначеності [Текст] / Ю. В. Куц, С. В. Шенгур // Системи обробки інформації. – 2013. – Вип. 3. – С. 97-100.
  8. Kuts, Y. V. Circular data point and interval evaluation [Text] / Y. V. Kuts, S. V. Shengur, A. V. Dergunov // «Aviation in the XXI-st century 2012»: proc. VІ World congress. – K.:NAU, 2012. – P. 1.6.5-1.6.7.
  9. Kuts, Y. V. Circular measurement data modeling and statistical processing in LabView [Text] / Y. V. Kuts, S. V. Shengur, L. M. Shcherbak // «MRRS-2011»: proceedings ІІІ International symposium: – К.:NAU, 2011. – P. 317-320.
  10. Jammalamadaka, S. Rao. Topics in circular statistics [Text] / S. Rao Jammalamadaka, A. SenGupta. – Singapore: World Scientific Publishing Co. Pte. Ltd., 2001 – 322 p.
  11. Mardia, K. V. Statistics of directional data [Text] / K. V. Mardia, P. E. Jupp. – London: Academic Press Inc., 1972. – 415 p.
  12. DSTU 2681-94. (1994). Metrolohіia. Termіni ta viznachennia. Chin. z 1995-01-01. K.: Derzhstandart Ukraini, 68.
  13. Guide to the expression of uncertainty in measurement (GUM). (1993). ISO, 101.
  14. Kuts, Yu. V., Shcherbak, L. M. (2009). Statistichna fazometrіia. V.: Ternopіl', 383.
  15. Fisher, N. I. (2000). Statistical analysis of circular data. Cambridge: Cambridge University Press, 277.
  16. Shengur, S. V. (2013). Opratsiuvannia vibіrok vipadkovikh kutіv z aprіorno nevіdomoho rozpodіlu. Sistemi obrobki іnformatsії, Vip. 8., 130-135.
  17. Efron, B., Tibshirani, R. (1993). An introduction to the bootstrap. Boca Raton, FL: Chapman&Hall/CRC, 436.
  18. Kuts, Yu. V., Shengur, S. V. (2013). Podannia rezul'tatu kutovikh vimіriuvan' v kontseptsії neviznachenostі. Sistemi obrobki іnformatsії, Vip. 3., 97-100.
  19. Kuts, Yu. V., Shengur, S. V., Dergunov, A. V. (2012). Circular data point and interval evaluation. «Aviation in the XXI-st century 2012»: proc. VІ World congress. K.:NAU, 1.6.5-1.6.7.
  20. Kuts, Yu. V., Shengur, S. V., Shcherbak, L. M. (2011). Circular measurement data modeling and statistical processing in LabView. «MRRS-2011»: proceedings ІІІ International symposium. K.:NAU, 317-320.
  21. Jammalamadaka, S. Rao, SenGupta, A. (2001). Topics in circular statistics. Singapore: World Scientific Publishing Co. Pte. Ltd., 322.
  22. Mardia, K. V., Jupp, P. E. (1972). Statistics of directional data. London: Academic Press Inc., 415.

Published

2014-02-06

How to Cite

Шенгур, С. В. (2014). Statistical processing of very small random circle samples. Technology Audit and Production Reserves, 1(4(15), 33–35. https://doi.org/10.15587/2312-8372.2014.21700

Issue

Section

Metrology, standardization and certification