In this work, we employ a sample of quasars with some of their absorption redshifts larger than their emission redshifts and make a correlation analysis between the two quantities. The analysis reveals a very significant correlation between the two kinds of redshfits. Our study leads to the following conclusions: a)the main part of these anomalous absorption redshifts must be the cosmological one; b)the relative motion of the absorbers of quasars is mild; c)it is suggested that the absorbers producing the anomalous absorption redshifts must be inside the host galaxies or quasars and move towards the corresponding quasars.
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