Results 241 to 250 of about 4,312,747 (279)

The geometric mean?

Communications in Statistics - Theory and Methods, 2020
The sample geometric mean (SGM) introduced by Cauchy in 1821, is a measure of central tendency with many applications in the natural and social sciences including environmental monitoring, scientom...
openaire   +1 more source

The geometric mean distance

ACM SIGACT News, 1976
Given N points in K-space, the O(N 2 ) distances between them may be characterized by their minimum[1, 2], maximum [3], mean[4, 5, 6], or median [7]; since these problems are geometrical, it may be Interesting to consider the geometric mean - or, which is equivalent, the product - of the ...
openaire   +1 more source

On Weighted Geometric Means

Canadian Mathematical Bulletin, 1989
AbstractThe aim of this paper is two-fold: First we prove the Radotype inequality Here denote the weighted geometric means of with where the pi are positive weights. Thereafter we investigate under which conditions the sequence is convergent as n → ∞
openaire   +1 more source

The Arithmetic-Geometric Mean of Gauss

1997
This paper is an expository account of the arithmetic-geometric mean M(a,b) of two numbers a,b. For \(a,b>0\) define \(a_ 0=a\), \(b_ 0=b\) and \(a_{n+1}=(a_ n+b_ n)/2,\quad b_{n+1}=(a_ nb_ n)^{1/2},\quad n=0,1,2,\ldots.\) It follows by elementary methods that the two sequences \(a_ n\), \(b_ n\) have a common limit M(a,b).
openaire   +2 more sources

The importance of the geometric mean MIC

Journal of Antimicrobial Chemotherapy, 1990
Demonstration selon laquelle les concentrations minimales inhibitrices 50, 75 et 90 sont des parametres faiblement discriminatifs par rapport a la moyenne geometrique, dans les tests de sensibilite in vitro.
openaire   +2 more sources

Geometric Properties of the Cesaro Means

Results in Mathematics, 1992
Set \(S_ \gamma^*\) denote the class of functions \(f(z)=z+\dots\) analytic in the unit disk \(\mathbb{D}\) such that \(\text{Re}[zf'(z)/f(z)]>\gamma\). The author shows that, if \(\alpha\geq 1\), \[ {{n+\alpha-1} \choose {n-1}}^{-1} \sum_{k=1}^ n {{n+\alpha-k} \choose {n-k}} {{2\gamma-2} \choose {k-1}}z^ k \in S_ \gamma^* \] for \(\gamma=(3-\alpha)/2\)
openaire   +2 more sources

The geometric mean priciple revisited

Journal of Banking & Finance, 1978
Abstract The paper provides expositions of the two fallacies involved in the advocacy of the geometric-mean principle for long-run portfolio selection.
openaire   +1 more source

The Geometric Mean and Stochastic Dominance

The Journal of Finance, 1980
TWO APPROACHES TO THE choice among risky alternatives that have been developed independently over the past twenty years are the geometric mean criterion and the stochastic dominance decision models. Both can be justified by the expected utility hypothesis, with the geometric mean criterion following as a result of the assumption that the decision-maker
openaire   +1 more source

Arithmetic Means and Geometric Means: 10907

The American Mathematical Monthly, 2002
Szilárd András, Michael Reid
openaire   +2 more sources

The Geometrical Mean

Journal of the Institute of Actuaries, 1931
openaire   +2 more sources