XIII. The law of the geometric mean

D McAlister - Proceedings of the Royal Society of …, 1879 - royalsocietypublishing.org
… we can take is the Arithmetic Mean of the discordant measures. … be obtained by taking the
Geometric Mean of the discrepant … group themselves round their Geometric Mean. This method …

The geometric mean?

RM Vogel - Communications in Statistics-Theory and Methods, 2022 - Taylor & Francis
… definition of the population geometric mean (GM) was … we have known that the sample
geometric mean, (1) SGM = … less than its sample arithmetic mean (Cauchy Citation1821). …

The geometric mean, matrices, metrics, and more

JD Lawson, Y Lim - The American Mathematical Monthly, 2001 - Taylor & Francis
… The geometric mean of positive real numbers a and b has various … geometric mean called
the spectral geometric mean; the one we are considering they call the metric geometric mean. …

Geometric mean for subspace selection

D Tao, X Li, X Wu, SJ Maybank - IEEE Transactions on Pattern …, 2008 - ieeexplore.ieee.org
… the geometric mean-based subspace selection in solving the class separation problem. The
geometric mean … , the maximization of the geometric mean of the normalized divergences is …

XII. The geometric mean, in vital and social statistics

F Galton - Proceedings of the Royal Society of London, 1879 - royalsocietypublishing.org
… It is the geometric mean 8 (4 : 8 : : 8 : 16) which is the most probable. Precisely the same …
words, the true mean is the geometric. The same condition of the geometric mean appears to …

Geometric means

T Ando, CK Li, R Mathias - Linear algebra and its applications, 2004 - Elsevier
… We propose a definition for geometric mean of k positive (semi) definite … a geometric mean,
and that our geometric mean generalizes many inequalities satisfied by the geometric mean

[PDF][PDF] Convexity according to the geometric mean

CP Niculescu - Math. Inequal. Appl, 2000 - researchgate.net
… is replaced by multiplication and the arithmetic mean is replaced by the geometric mean. A
moment’s … Depending on which type of mean, arithmetic (A), or geometric (G), we consider …

The geometric mean decomposition

Y Jiang, WW Hager, J Li - Linear Algebra and Its Applications, 2005 - Elsevier
Given a complex matrix H, we consider the decomposition H=QRP* where Q and P have
orthonormal columns, and R is a real upper triangular matrix with diagonal elements equal to …

Geometric mean approximations of individual security and portfolio performance

WE Young, RH Trent - Journal of Financial and Quantitative Analysis, 1969 - cambridge.org
… the geometric mean of a distribution of positive values to the conventional first four moments
— arithmetic mean… four moments for estimating the geometric means of monthly and annual …

The geometric mean procedure for estimating the scale of a judgement matrix

GB Crawford - Mathematical Modelling, 1987 - Elsevier
… right eigenvector and an associated consistency ratio “CR” We give reasons why the
geometric mean (GM) (also known as the LLSM or logarithmic least-squares method) may be …