Bounds For Specific Distributions
DasGupta has determined a set of best possible bounds for a normal distribution for this inequality.
Steliga and Szynal have extended these bounds to the Pareto distribution.
Read more about this topic: Chebyshev's Inequality
Famous quotes containing the words bounds and/or specific:
“Prohibition will work great injury to the cause of temperance. It is a species of intemperance within itself, for it goes beyond the bounds of reason in that it attempts to control a man’s appetite by legislation, and makes a crime out of things that are not crimes. A Prohibition law strikes a blow at the very principles upon which our government was founded.”
—Abraham Lincoln (1809–1865)
“In effect, to follow, not to force the public inclination; to give a direction, a form, a technical dress, and a specific sanction, to the general sense of the community, is the true end of legislature.”
—Edmund Burke (1729–1797)