Chebyshev's Inequality - Bounds For Specific Distributions

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:

    How far men go for the material of their houses! The inhabitants of the most civilized cities, in all ages, send into far, primitive forests, beyond the bounds of their civilization, where the moose and bear and savage dwell, for their pine boards for ordinary use. And, on the other hand, the savage soon receives from cities iron arrow-points, hatchets, and guns, to point his savageness with.
    Henry David Thoreau (1817–1862)

    Patriotism is proud of a country’s virtues and eager to correct its deficiencies; it also acknowledges the legitimate patriotism of other countries, with their own specific virtues. The pride of nationalism, however, trumpets its country’s virtues and denies its deficiencies, while it is contemptuous toward the virtues of other countries. It wants to be, and proclaims itself to be, “the greatest,” but greatness is not required of a country; only goodness is.
    Sydney J. Harris (1917–1986)