Posts Tagged ‘ Pareto ’

MAT886 mean excess function (and reinsurance)

February 1, 2012
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MAT886 mean excess function (and reinsurance)

Tomorrow, in the course on extreme value, we will focus on applications. We will discuss reinsurance pricing. Consider a random variable , a threshold and define the mean excess function. This function is known in life insurance as the average ...

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MAT8886 Extremes and sums (of i.i.d. random variables)

January 20, 2012
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MAT8886 Extremes and sums (of i.i.d. random variables)

Yesterday, we have discussed briefly sums and maximas of i.i.d. random variables using the concept of subexponential distributions. Today, we will introduce the concept of regular variation: a positive function is said to be regularly varying (at i...

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MAT8886 Fisher-Tippett theorem and limiting distribution for the maximum

January 12, 2012
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MAT8886 Fisher-Tippett theorem and limiting distribution for the maximum

Tomorrow, we will discuss Fisher-Tippett theorem. The idea is that there are only three possible limiting distributions for normalized versions of the maxima of i.i.d. samples . For bounded distribution, consider e.g. the uniform distribution on t...

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