# geometric average

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## geometric average

[¦jē·ə¦me·trik ′av·rij]
(mathematics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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The effect of quantifying the costs by geometric averages (as opposed to arithmetic averages or more complex directional indices) is mainly to reduce a potentially irregular influence of a few extreme or exceptional directed migration flows (e.g.
Zhang and Liu  proposed the weighted arithmetic averaging operator and the weighted geometric average operator to aggregate triangular fuzzy intuitionistic fuzzy information and applied it to the decision making problem.
The interval neutrosopliic weighted geometric average operator is defined by
However, the ELA adopted in this study is geometric average, not arithmetic average.
Then arithmetic and geometric averages of estimates are calculated: for each project (j = 1, 2, 3, 4) all criteria estimates of all experts were averaged by formulas:
where [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is geometric average of [S.sub.t] between the time period of [0, t].
Asian power option Geometric average Arithmetic average Jump-fraction process Control variate
The arithmetic average is always higher than the geometric average. The difference between them becomes larger when the variance of the rate of return increases.
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 empirical method used to estimate growth in this case is a simple moving geometric average assuming that distributions grow monthly at the rate of past increases.

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