Confidence Intervals for the Long-Term Noise Indicators Using the Kernel Density Estimator

Abstract

A non-classical m odel of interval estim ation based on th e kernel density estim ato r is presented in th is paper. T h is m odel has been com pared w ith interval estim ation algorithm s of th e classical (param etric) sta tistics assuming th a t th e sta n d ard deviation of th e population is either known or unknown. T he non-classical m odel does not have to assum e belonging of random sam ple to a norm al distribution. A theoretical basis of the proposed model is presented as well as an exam ple of calculation process which makes possible determ ining confidence intervals of th e expected value of long-term noise indicators Aden and LN. T he statistical analysis was carried o ut for 95% interval w idths obtained by using each of these models.

Cumulative Industrial Noise Impact on the Environment

“…In the case of using measurement techniques to determine the cumulative noise levels, in particular, involvement of each installation on the measured level, it is important to determine the uncertainty of such an approach. More practical details on the determination of the measurement uncertainty can be found in papers (Stępień, 2016; Batko, Przysucha, 2014).…”

Suitability Analysis of Selected Methods for Modelling Infrasound and Low-Frequency Noise from Wind Turbines

“…The comparison of these confidence intervals in the figure provides a graphical presentation of the results of the multiple comparisons performed for the compared samples. The means of two samples are statistically different at the assumed significance level α if their intervals are disjoint, but they are not significantly different if their intervals overlap [66].…”