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Controlling of Violations of the Basic Assumptions of the Recurrent Assessment Model of Long-Term Noise Indicators

Batko W., Bal R.

Archives of Acoustics

2010

Vol. 35, No. 3

361-369

The function of a new estimation procedure of long-term noise indicators is considered in this study. New possibilities are related to the stochastic modelling of the control data formation mechanism. Assuming the mathematical formalism based on the adaptive model of exponential smoothing of control data, the need of controlling at each estimation stage of long-term noise indicators, the adherence to the model assumptions is formulated. The procedure of its realisation is described in the paper. The tracking signal method referred to the tested errors of the assumed model was applied. The ratio of the sum of model errors in relation to the average absolute error, generated by the assumed approximation, was selected as the representative of the tracking signal. Conditions for the acceptation of the model assumption were defined. The analysis of functionality of the developed solution was illustrated by the results of a continuous noise monitoring recorded at one of the main arteries in Kraków.

Non-parametric methods of estimation of type A uncertainty of the environmental noise hazard indices

Batko W., Stępień B.

Archives of Acoustics

2009

Vol. 34, No. 3

295-303

A control of environmental noise hazards requires estimation of uncertainty of noise indices LDEN, LN. Assessment of the type A standard uncertainty in measurement results - expressed as the standard deviation of the mean, calculated the most often at the assumption of a normal distribution - is significant for the process. Such assumption - in relation to the noise measurement results - is of a relatively low likelihood. Thus, there is a need of looking for non-standard procedures of the standard deviation estimation of the mean of results, without any information of belonging to a certain class of distribution. The aim of the hereby paper is an indication of the possibility of using non-parametric estimators of a density function in the calculation process of the type A standard uncertainty of environmental noise hazard indices. An attention was directed towards kernel estimators. The origin of their application, advantages and the method of constructing was described on the basis of a continuous monitoring of a traffic noise recorded on one of the main arteries of Kraków in 2004 and 2005. Usefulness of three forms of estimators, it means: kernel, unbiased and of maximum likelihood, was analysed.