The mean and variance are unambiguously determined by the distribution, but a distribution is, of course, not determined by its mean and variance: A number of different distributions have the same mean and the same variance.


Sixth Lecture, Statistical Problems in Physics, p. 212 - Probability, Statistics And Truth - Second Revised English Edition - (1957)

Richard von Mises Quotes

The mean and variance are unambiguously determined by the distribution, but a distribution is, of course, not determined by its mean and variance: A...

The mean and variance are unambiguously determined by the distribution, but a distribution is, of course, not determined by its mean and variance: A...

The mean and variance are unambiguously determined by the distribution, but a distribution is, of course, not determined by its mean and variance: A...

The mean and variance are unambiguously determined by the distribution, but a distribution is, of course, not determined by its mean and variance: A...