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2011 | 119 | 6A | 916-920
Article title

Application of the Bayesian Inference for Estimation of the Long-Term Noise Indicators and Their Uncertainty

Content
Title variants
Languages of publication
EN
Abstracts
EN
The problem of estimation of the environmental noise hazard indicators and their uncertainty is presented in the hereby paper. The main attention is focused on the estimation process of the long-term noise indicators and their type A standard uncertainty defined by the standard deviation of the mean of the measurement results. The rules given in the ISO/IEC Guide 98 are used in the calculations. It is usually determined by means of the classic variance estimators, at the assumption of the normality of measurements results. However, such assumption in relation to the acoustic measurements is rather questionable. This is the reason that the authors indicated the necessity of implementation of non-classic statistic solutions. There was formulated the estimation idea of seeking density function of long-term noise indicators distribution by the Bayesian inference, which does not generate limitations for form and properties of analyzed statistics. There was presented theoretical basis of the proposed method, and the example of calculation process which make possible determining searched estimators of expected value and variance of long-term noise indicators L_{DEN} and L_{N}. The illustration for indicated solutions and usefulness analysis was constant monitoring results of traffic noise recorded on one of the main arteries of Kraków, Poland.
Keywords
EN
Publisher

Year
Volume
119
Issue
6A
Pages
916-920
Physical description
Dates
published
2011-06
Contributors
author
  • Department of Mechanics and Vibroacoustics, AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Kraków, Poland
author
  • Department of Mechanics and Vibroacoustics, AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Kraków, Poland
References
  • 1. Directive 2002/49/WE of the European Parliament and of the Council of 25 June 2002, relating to the assessment and management of environmental noise, Official Journal of the European Communities 18.07.2002
  • 2. Guidelines for Developing of Acoustic Maps, Ed. R.J. Kucharski, Institute of Environmental Protection, Warszawa 2006 (in Polish)
  • 3. Guide to the Expression of Uncertainty in Measurement, Central Office of Measures, Warszawa 1999 (in Polish)
  • 4. C.G. Don, I.G. Rees, J Sound Vibration 100, 41 (1985)
  • 5. T. Wszołek, M. Kłaczyński, Arch. Acoust. 31, (supplement), 311 (2006)
  • 6. W. Batko, B. Stępień, in: 35th Winter School on Vibroacoustical Hazards Suppressions, Ed. M. Roczniak, Upper Silesian Division of the Polish Acoustical Society, Gliwice 2007, p. 5
  • 7. M. Gałuszka, in: Monitoring of Environment 2010, Kraków 2010, full text on CD-ROM
  • 8. D. Gamerman, H.F. Lopes, Markov Chain Monte Carlo: Stochastic Simulation for Bayesian Inference, Chapman & Hall/CRC, Boca Raton 2006
  • 9. M. Pipień, Bayesian Inference in Financial Econometrics, Wydawnictwo Akademii Ekonomicznej w Krakowie, Kraków 2006 (in Polish)
  • 10. J.V. Candy, Bayesian Signal Processing: Classical, Modern, and Particle Filtering Methods, Wiley, Hoboken 2009
  • 11. J. Osiewalski, Applications of Bayesian Econometrics, Wydawnictwo Akademii Ekonomicznej w Krakowie, Kraków 2001 (in Polish)
  • 12. M. Kostrzewski, Bayesian Analysis of Financial Time Series Modeled by Diffusion Processes, Uczelniane Wydawnictwa Naukowo-Dydaktyczne AGH, Kraków 2006 (in Polish)
  • 13. Cz. Domański, K. Pruska, W. Wagner, Statistical Inference for Non-Classical Assumptions, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 1998 (in Polish)
  • 14. M. Rosenblatt, Ann. Math. Statist. 27, 832 (1956)
  • 15. E. Parzen, Ann. Math. Statist. 33, 1065 (1962)
  • 16. P. Kulczycki, Kernel Estimators for Analysis of Systems, WNT, Warszawa 2005 (in Polish)
  • 17. W. Batko, B. Stępień, Arch. Acoust. 34, 295 (2009)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv119n6a03kz
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