query: why is the geometric mean less than the logarithmic mean?
positive_passages.docid: 18016
positive_passages.text: Proof of the following inequality $ \frac{x - y}{\log x - \log y} > \sqrt{xy} $, $x>y$.
negative_passages.docid: 126721
negative_passages.text: Confidence interval for geometric mean
negative_passages.docid: 62302
negative_passages.text: What is the expected value of the logarithm of Gamma distribution?
negative_passages.docid: 114026
negative_passages.text: Expectation and variance of the geometric distribution
negative_passages.docid: 128953
negative_passages.text: Why $\frac{\log(x)}{\log(y)}$ gives the same value as $\frac{\ln(x)}{\ln(y)}$
negative_passages.docid: 144382
negative_passages.text: Proving $\lVert x \rVert_3$ is smaller than euclidean norm
negative_passages.docid: 105997
negative_passages.text: Geometric interpretation of $\frac {\partial^2} {\partial x \partial y} f(x,y)$
negative_passages.docid: 54698
negative_passages.text: Why is speed measured along the line of sight (LOS) a factor $\sqrt{3} $ smaller for randomly distributed velocities?
negative_passages.docid: 119654
negative_passages.text: How to prove that geometric distributions converge to an exponential distribution?
negative_passages.docid: 70447
negative_passages.text: How is the kurtosis of a distribution related to the geometry of the density function?
negative_passages.docid: 117907
negative_passages.text: A question regarding independence of $\min{\{X,Y\}}$ and $X-Y$ when $X,Y$ follows iid geometric distribution
negative_passages.docid: 53555
negative_passages.text: Calculate expectation of a geometric random variable
negative_passages.docid: 28520
negative_passages.text: Exponential or logarithm of a dimensionful quantity?
negative_passages.docid: 127294
negative_passages.text: Geometric interpretation of multiple correlation coefficient $R$ and coefficient of determination $R^2$
negative_passages.docid: 32282
negative_passages.text: Why I am getting different $R^2$ from R LM and manual calculation?
negative_passages.docid: 32917
negative_passages.text: Show that, for $t>0$, $\log t$ is not a polynomial.
negative_passages.docid: 127290
negative_passages.text: Intuition behind logarithm change of base