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

100%
Batko W., Stępień B.
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issue 6A
916-920
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.
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Application of the Bootstrap Estimator for Uncertainty Analysis of the Long-Term Noise Indicators

100%
Batko W., Stępień B.
Acta Physica Polonica A
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2010
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vol. 118
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issue 1
11-16
EN
In the process of environmental noise hazards assessment besides estimation of uncertainty measurement of control results there should be made errors analysis related to estimation processes to long-term noise indicators. the condition of correct quantification of uncertainty budget components in the control process is using proper analysis method. The problem rest on determining density function of probability distribution of long-term noise indicators. in order to several conditioning characteristic for the problem it can not be to solved by classic estimation analysis applied in statistical researches, without different reservations. There was formulated the estimation idea of seeking density function of long-term noise indicators distribution by bootstrap method, 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 searching 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 continuous monitoring results of a traffic noise recorded on one of the main arteries of Kraków.
3
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Analitic Properties and Self-Consistency in a Schottky Barrier Model

100%
Jędrzejek C., Stępień B.
Acta Physica Polonica A
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1991
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vol. 79
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issue 2-3
161-165
EN
We apply a one-dimensional model to studies of intrinsic Schottky barriers. The semiconductor possesses two bands (s and p) and the metal has one conduction band. For the first time explicitly analytic formula for the density of states is given. An extremely accurate analytic formula (compared to numerical results) for the Fermi level position is proposed. It is shown that the Fermi level of the (covalent) semiconductor-metal interface is independent of the metal bulk parameters. Also self-consistent numerical results are presented.
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