Ruin theory - moment generating function

Discussion in 'CM2' started by skhurana, Mar 29, 2021.

  1. skhurana

    skhurana Member

    Is the derivation of MGF is examinable ?

    I can see past question in revision book for the same.
     
  2. Mark Mitchell

    Mark Mitchell Member

    The questions in the Revision Notes books from past exam papers are those that we believe that are still relevant to the current CM2 syllabus.

    You need to know the definition of an MGF, ie that the moment generating function of the random variable X at the point t is MX(t) = E(exp(tX)).

    For standard distributions (eg exponential), the MGFs are given in the Tables, and I wouldn't expect you to need to derive these, just look them up and use them.

    For non-standard distributions, you obtain/derive the MGF directly from the definition above. An example of this is CT6, September 2012, Q10 which relates to a discrete random variable.
     
    Tim likes this.

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