geometric average


Also found in: Dictionary, Thesaurus, Medical.

geometric average

[¦jē·ə¦me·trik ′av·rij]
(mathematics)
References in periodicals archive ?
Partial Elasticity Estimates - Geometric Average Railroad Activity Measures, Mileage, and Prices G-T-M C-M Average Railroad 98 Model 97 Model 96 Model 95 Model 98 Model 97 Model 1995 0.
We find that for long-run expected return and risk premium, the arithmetic average produces an estimate that is too high relative to the true mean, and that the geometric average produces an estimate that is too low.
From a sample of T observations, the geometric average, [R.
The geometric average is asymptotically biased downwards and thus is an inconsistent estimator of the long-run expected return.
To examine the bias for a fixed N and finite T, we rewrite the geometric average as:
the geometric average is downward-biased for N [less than] T but unbiased as N [approaches] T.
6-4 >80 50-80 20-50 <20 <4 4-8 8-16 >16 Sandy Clay, Loam, Sandy Clay Loam Sandy, Sandy, Clay Silty Clay Loam, Silty Clay Sandy Loam <60% Loam, Silty Loam <15 15-35 35-65 >65 Table 4: Geometric average of the quantitative values of water resources degradation criterion Groundwater table decrease 3.
Finally the desertification intensity will be a result of geometric average of 9 criteria as follows:
The geometric average of relevant indices determines values related to other criteria, which ultimately will result in desertification intensity, and class in each geomorphologic work unites of different land use (Agricultural, rangeland, forest, etc).
The value of quality index for each elementary unit within an index is obtained as geometric average of scores for single indices.
Then water and soil maps were generated as geometric average of the mentioned indices showing the desertification condition in four classes.
14) To provide further evidence in favor of the previous conclusions, we also estimated the normalized CES function by treating the beginning-of-sample and end-of-sample values as the baseline values of K, L, and Y, instead of their geometric averages.