Chebyshev's Inequality - Zero Means

Zero Means

When the mean (μ) is zero Chebyshev's inequality takes a simple form. Let σ2 be the variance. Then

With the same conditions Cantelli's inequality takes the form

Read more about this topic:  Chebyshev's Inequality

Famous quotes containing the word means:

    A moment that gave not only itself, but
    Also the means of keeping it, of not turning to dust
    Or gestures somewhere up ahead
    But of becoming complicated like the torrent
    In new dark passages, tears and laughter which
    Are a sign of life, of distant life in this case.
    John Ashbery (b. 1927)

    It cannot be denied that for a society which has to create scarcity to save its members from starvation, to whom abundance spells disaster, and to whom unlimited energy means unlimited power for war and destruction, there is an ominous cloud in the distance though at present it be no bigger than a man’s hand.
    Arthur Stanley Eddington (1882–1944)