What is Kurtosis of continuous probability distribution?

Actuary Forums Forums Actuarial Subjects CM2 (CT8) What is Kurtosis of continuous probability distribution?

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  • #23198
    Mayank Goyal
    Keymaster

      It is defined as fourth central moment and is a measure of how likely extreme values are to appear!

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      #24445
      shreyanshh
      Participant

        So if the kurtosis is big, we can say that our data set has many outliers.

        Am i correct?

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        #24446
        Mayank Goyal
        Keymaster

          shreyanshh wrote:

          So if the kurtosis is big, we can say that our data set has many outliers.

          Am i correct?

          Sent from my S6s using Actuarial Info mobile app

          For CM2 or for CT8, it means..

          For investors, high kurtosis of the return distribution implies that the investor will experience occasional extreme returns (either positive or negative), more extreme than the usual + or – three standard deviations from the mean that is predicted by the normal distribution of returns. This phenomenon is known as kurtosis risk.

          But yes you are right in general sense. kurtosis is a measure that describes the shape of a distribution’s tails in relation to its overall shape.

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          #24447
          shreyanshh
          Participant

            Understood. Thanks.

            Sent from my S6s using Actuarial Info mobile app

            #24448
            Mayank Goyal
            Keymaster

              no worries

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            Actuary Forums Forums Actuarial Subjects CM2 (CT8) What is Kurtosis of continuous probability distribution?