Van Zwet Condition
Van Zwet derived an inequality which provides sufficient conditions for this inequality to hold. The inequality
- Mode ≤ Median ≤ Mean
holds if
- F( Median - x ) + F( Median + x ) ≥ 1
for all x where F is the cumulative distribution function of the distribution.
Read more about this topic: Mode (statistics)
Famous quotes containing the words van and/or condition:
“The Mediterranean has the color of mackerel, changeable I mean. You dont always know if it is green or violet, you cant even say its blue, because the next moment the changing reflection has taken on a tint of rose or gray.”
—Vincent Van Gogh (18531890)
“I hold the value of life is to improve ones condition. Whatever is calculated to advance the condition of the honest, struggling laboring man, so far as my judgment will enable me to judge of a correct thing, I am for that thing.”
—Abraham Lincoln (18091865)