S has a compound distribution Total claim amount per policyholder (but not compound Poisson): for each...
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S has a compound distribution Total claim amount per policyholder (but not compound Poisson): for each policy i, we have S; = 1 Yi,k, with Yi,k i.i.d. following Poisson distribution with parameter A, and the claim numbers N₁ are i.i.d., independent of Yi,k, following Bernoulli distribution with P[N₁ 1] = q. Express the following three quantities in = terms of r, p, q, λ: a) Number of exposures (i.e. number of observations) needed for full credibility (20 points) b) Total number of claims needed for full credibility (5 points) c) Total sum of claim amounts for full credibility (5 points) S has a compound distribution Total claim amount per policyholder (but not compound Poisson): for each policy i, we have S; = 1 Yi,k, with Yi,k i.i.d. following Poisson distribution with parameter A, and the claim numbers N₁ are i.i.d., independent of Yi,k, following Bernoulli distribution with P[N₁ 1] = q. Express the following three quantities in = terms of r, p, q, λ: a) Number of exposures (i.e. number of observations) needed for full credibility (20 points) b) Total number of claims needed for full credibility (5 points) c) Total sum of claim amounts for full credibility (5 points)
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a Number of exposures ie number of observations needed for full credibility Let n be the number o... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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