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APPLICATION OF THE BAYESIAN INFERENCE FOR ESTIMATION OF THE LONG-TERM NOISE INDICATORS AND THEIR UNCERTAINTY

机译:贝叶斯推断在估计长期噪声指标及其不确定性中的应用

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The problem of estimation of the environmental noise hazard indices 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 Bayesian inference, which doesn't 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 constant monitoring results of a traffic noise recorded on one of the main arteries of Krakow, Poland.
机译:本文提出了环境噪声危害指数估算及其不确定性的问题。主要关注点集中在长期噪声指标的估计过程及其由测量结果平均值的标准偏差定义的A类标准不确定性上。计算中使用ISO / IEC指南98中给出的规则。通常在假设测量结果为正态的情况下,通过经典方差估计器来确定它。然而,关于声学测量的这种假设是相当可疑的。因此,作者指出了实施非经典统计解决方案的必要性。提出了一种利用贝叶斯推断寻求长期噪声指标分布的密度函数的估计思想,该思想不对统计分析的形式和性质产生限制。给出了该方法的理论基础,并以计算过程为例,确定了长期噪声指标L_(DEN)和L_N的期望值和方差的搜索估计量。指示的解决方案和有用性分析的插图是记录在波兰克拉科夫主要动脉之一上的交通噪声的持续监测结果。

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