Ratio Distribution - Ratio of Standard Normal To Standard Uniform

Ratio of Standard Normal To Standard Uniform

If X has a standard normal distribution and Y has a standard uniform distribution, then Z = X / Y has a distribution known as the slash distribution, with probability density function

p_Z(z) = \begin{cases}
\left / z^2 \quad & z \ne 0 \\
\phi(0) / 2 \quad & z = 0, \\
\end{cases}

where φ(z) is the probability density function of the standard normal distribution.

Read more about this topic:  Ratio Distribution

Famous quotes containing the words ratio of, ratio, standard, normal and/or uniform:

    Personal rights, universally the same, demand a government framed on the ratio of the census: property demands a government framed on the ratio of owners and of owning.
    Ralph Waldo Emerson (1803–1882)

    Official dignity tends to increase in inverse ratio to the importance of the country in which the office is held.
    Aldous Huxley (1894–1963)

    When Freedom, from her mountain height,
    Unfurled her standard to the air,
    She tore the azure robe of night,
    And set the stars of glory there;
    Joseph Rodman Drake (1795–1820)

    To try to control a nine-month-old’s clinginess by forcing him away is a mistake, because it counteracts a normal part of the child’s development. To think that the child is clinging to you because he is spoiled is nonsense. Clinginess is not a discipline issue, at least not in the sense of correcting a wrongdoing.
    Lawrence Balter (20th century)

    Iconic clothing has been secularized.... A guardsman in a dress uniform is ostensibly an icon of aggression; his coat is red as the blood he hopes to shed. Seen on a coat-hanger, with no man inside it, the uniform loses all its blustering significance and, to the innocent eye seduced by decorative colour and tactile braid, it is as abstract in symbolic information as a parasol to an Eskimo. It becomes simply magnificent.
    Angela Carter (1940–1992)