AbstractAssessment of several noise indicators are determined by the logarithmic mean <img src="/fulltext-image.asp?format=htmlnonpaginated&src=P42524002G141TV8_html\05_paper.gif" alt=""/>, from the sum of independent random resultsL1;L2; : : : ;Lnof the sound level, being under testing. The estimation of uncertainty of such averaging requires knowledge of probability distribution of the function form of their calculations. The developed solution, leading to the recurrent determination of the probability distribution function for the estimation of the mean value of noise levels and its variance, is shown in this paper.
LMDI (Logarithmic Mean Divisia Index) was used to estimates the carbon emission of industrial energy consumption in Hunan Province with collected data on industrial energy consumption in 2000-2012. The results showed that carbon emissions of industrial energy consumption present the overall upward trend in Hubei Province, where the carbon emissions of coal consumption are the main factors, this shows that the industry of Hubei is extensive development withhigh energy consumption. In addition, industrial carbon intensity has a fluctuated downward trend in 2011-2012; this shows that Hubei province has made a positive change on control carbon emissions of energy consumption.
Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means