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A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process N in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/λ, where X is a positive parameter. Let the unit of time be an hour. Question 29 How would the adjustment coefficient under consideration change if the mean time between consecutive claims is doubled? will not change will become of the original answer. Impossible to predict will double

A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process N in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/λ, where X is a positive parameter. Let the unit of time be an hour. Question 29 How would the adjustment coefficient under consideration change if the mean time between consecutive claims is doubled? will not change will become of the original answer. Impossible to predict will double

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 25EQ
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A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process Nt in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/A, where A is a positive parameter. Let the unit of time be an hour. Question 29 How would the adjustment coefficient under consideration change if the mean time between consecutive claims is doubled? will not change will become of the original answer. Impossible to predict will double Question 30 Assume now that is arbitrary. Does the adjustment coefficient y depend on 0 ? No Yes
Transcribed Image Text:A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process Nt in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/A, where A is a positive parameter. Let the unit of time be an hour. Question 29 How would the adjustment coefficient under consideration change if the mean time between consecutive claims is doubled? will not change will become of the original answer. Impossible to predict will double Question 30 Assume now that is arbitrary. Does the adjustment coefficient y depend on 0 ? No Yes
Question 31 Find the limit of y as 0 → 0 Does not exist 1 0 8
Transcribed Image Text:Question 31 Find the limit of y as 0 → 0 Does not exist 1 0 8
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