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Modeling of Estimation Tasks of the Year Long Noise Indicators

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Mathematical modeling of the estimation of the long–term noise indicators on the basis of random ”momentary” environment control investigations, is presented in the paper. An attention was directed towards deficiencies of the obligatory estimation procedures of their representation, which is given by assessments of the average of the random test and the standard deviation value of the environment test results. Possible ways of looking for the problem solution were discussed. The proposed method of modeling the results of a random, ”momentary”, test of control investigations, leading to the determination of the expected values of the long–term noise indicators and to the assessment of their uncertainty, was described. The selection and realization of the proposed solution was related to the theory and methods of analysis of time series. Investigations, analyses and verifying procedures accompanying the proposed mathematical formalization, were given. Exemplifying contents of the presented paper were related to the assessment of the traffic noise at one of the main arteries of Krakow. They are considered in a context of the practice of the ”momentary” measurements and the estimation of the long-term noise indicators performed on their basis.
Rocznik
Strony
11--20
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
autor
  • Rzeszow University of Technology Department of Mechanics and Vibroacoustics Al. Mickiewicza 30, 30-059 Krakow, Poland phone +12 617 36 24
autor
  • State Higher Vocational School in Krosno Politechnical Institute Rynek 1, 38-400 Krosno phone +13 437 55 00
Bibliografia
  • [1] Bal, R.: Analysis of estimation conditions of the long–term noise indicators, Ph.D. Thesis, AGH, (in Polish), 2010.
  • [2] Batko, W. and Bal, R.: Analysis of usefulness of R.G. Brown model for estimation process of long term noise ratio, Archives of Acoustics, Vol. 33, No. 3, 2008.
  • [3] Batko, W. and Bal, R.: Controlling of Violations of Basic Assumptions of the Recurrent model of the long–term noise indicators assessments, Archives of Acoustics, 2009.
  • [4] Batko, W. and Bal, R.: Selection of Model Approximation for the Uncertainty Estimation of the Long–term Noise Indicators LDEN and LN, Archives of Acoustics, 2009.
  • [5] Batko, W. and Przysucha, B.: Determination of the Probability Distribution of the Mean Sound Level, Archives of Acoustics, Vol. 35, No 4, p. 543–550, 2010.
  • [6] Batko, W., Przysucha, B.: Determination of the distribution form for sound level measurements results, (sent for publication in OSA 11 Proceedings), (in Polish).
  • [7] Batko, W, Stepien, B.: Application of the Bayesian inference for estimation of the long-term noise indicators and their uncertainty, Acta Physica Polonica A, Vol. 119, p. 916–920, 2011.
  • [8] Batko, W, Stepien, B.: Application of the bootstrap estimator for uncertainty analysis of the long–term noise indicators and their uncertainty, Acta Physica Polonica A, Vol.118, p.11–16, 2010.
  • [9] Batko, W. and Stepien, B.: Non–parametric methods of estimation of type A uncertainty of the environmental noise hazard indices, Archives of Acoustics, Vol. 34, No 3, p. 295–303, 2009.
  • [10] 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, 2002.
  • [11] Galuszka, M.: Statistic distributions of levels and energy in a road traffic noise, Environment Monitoring Conference, 24–25.05, Krakow, (in Polish), 2010.
  • [12] Guide to the Expression of Uncertainty Measurement. International Organization for Standardization, ISBN 92–67–10188–9, 1995, Polish Edition: Wyra˙zanie niepewności pomiaru. Przewodnik. The Central Office of Measurements, 1999.
  • [13] Stepien, B.: Estimation of uncertainties of the environment noise hazard indicators, Ph. D. Thesis, AGH, (in Polish), 2011.
  • [14] Wszolek, T.: Uncertainty analysis in environment noise investigations, Proceedings of the XXXIV-th Winter School of Vibroacoustic Hazards Control, p. 205–216, 2006.
  • [15] Robert, L., Launer, R.L. and Wilkinson, G.N.: Robustness in Statistics, Academic Pres, New York, 1979.
  • [16] Kulczycki, P.: Nuclear estimators in the system analysis, WNT, Warszawa, (in Polish), 2005.
  • [17] Efron, B.: Bootstrap Methods: Another Look at Jacknife, The Annals of Statistics, No 7, 1979.
  • [18] Efron, B. and Tibshirani: An Introduction to the Bootstrap, Chapmann& Hall, New York, 1993.
  • [19] Krzysko, M.: Mathematical Statistics, Edited by UAM, Pozna, 2–nd edition, (in Polish), 2004.
  • [20] Domanski, C. and Pruska, K.: Not classic statistic methods, PWE, Warszawa, (in Polish), 2000.
  • [21] Box G.E.P,Jenkins G.M.: Analysis of time series : forecasting and control, PWN, (in Polish), 1983.
  • [22] Brown, R.G. and Mayer, R.F.: The Fundamental Theorem of Exponential Smoothing, Operations Research, Vol.9, 1961.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6f543bf7-ea48-4f73-8109-03cee7b01641
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