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:

    “Firmness yclept in heroes, kings and seamen,
    That is, when they succeed; but greatly blamed
    As obstinacy, both in men and women,
    Whene’er their triumph pales, or star is tamed —
    And ‘twill perplex the casuist in morality
    To fix the due bounds of this dangerous quality.”
    —George Gordon Noel Byron (1788–1824)

    “No more distressing moment can ever face a British government than that which requires it to come to a hard, fast and specific decision.”
    —Barbara Tuchman (1912–1989)