A statistical approach to graduation by mathematical formula |
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| Authors: | LK Chan HH Panjer |
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| Institution: | Department of Statistics, University of Mamtoba, Winnipeg, Canada R3T 2N2;Department of Statistics, University of Waterloo, Ontario, Canada N2L 3G1 |
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| Abstract: | Graduation by mathematical formula is recast as problem of statistical estimation. The method of maximum likelihood is used to determine the estimates of the parameters. Theory is developed to allow for estimation without resorting to the usual ‘exposure’ formulas. Both single and multiple decrement models are considered. Theoretical results are obtained for some specific mortality models. Numerical procedures to obtain the estimates are considered. |
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| Keywords: | Graduation Maximum likelihood Mortality models |
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