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Math Help - Pareto distribution

  1. #1
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    Pareto distribution




    Need help on the Pareto distribution, please. Thanks!

    I can get the mean loss amount \frac {\alpha\beta}{\alpha-1} but I don't understand how to get (ii) and (iii)
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  2. #2
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    Quote Originally Posted by cirrus74 View Post



    Need help on the Pareto distribution, please. Thanks!

    I can get the mean loss amount \frac {\alpha\beta}{\alpha-1} but I don't understand how to get (ii) and (iii)
    ii) \bar{x}=\int_{\beta}^{\infty} x f_X(x) ~dx

    iii)  {\rm{var}}(X)=\int_{\beta}^{\infty} (x-\bar{x})^2 f_X(x) ~dx

    Both of which look like elementary integrals to me.

    RonL
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