Statistical characteristics of aerosol extinction coefficients and aerosol optical thickness assessed from simultaneous measurements of atmospheric transparency in the wavelength range from 0.44 to 1.06 mkm on horizontal and slant paths are considered. The height of the homogeneous atmosphereH0 is calculated from these data. It is shown that H0 in the spectral range 0.44-0.56 mkm is about 1 km, and it decreases down to 0.6 km at 1.06 mkm. The correlation between aerosol extinction coefficient and aerosol optical thickness is analyzed. In general case the correlation between these parameters in summer is shown to be fairly weak with the value of 0.36-0.37 in the visible wavelength range at the significance level of 0.16. It is supposed that the correlation between these optical characteristics breaks due to practically independent dynamics of fine and coarse aerosol particles. To decrease the contribution of coarse aerosol to the variation of these parameters, they were divided into the fine and coarse components. In this case the correlation between their fine components increases somewhat.