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Statistical and probabilistic methods in actuarial science / Philip J. Boland.

By: Series: Interdisciplinary statisticsPublication details: Boca Raton, FL : Chapman & Hall/CRC, c2007.Description: xvi, 351 p. : ill. ; 25 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9781584886952 :
  • 1584886951 :
Subject(s): LOC classification:
  • HG8781 .B67 2007
Contents:
Claims Reserving and Pricing with Run-Off Triangles; The Evolving Nature of Claims and Reserves -- Chain Ladder Methods -- The Average Cost per Claim Method -- The Bornhuetter-Ferguson or Loss Ratio Method -- An Example in Pricing Products -- Statistical Modeling and the Separation Technique -- Problems. Loss Distributions; Introduction to Loss Distributions -- Classical Loss Distributions -- Fitting Loss Distributions -- Mixture Distributions -- Loss Distributions and Reinsurance {u2013} Problems. Risk Theory; Risk Models for Aggregate Claims -- Collective Risk Models -- Individual Risk Models for S -- Premiums and Reserves for Aggregate Claims -- Reinsurance for Aggregate Claims {u2013} Problems. Ruin Theory; The Probability of Ruin in a Surplus Process -- Surplus and Aggregate Claims Processes -- Probability of Ruin and the Adjustment Coefficient -- Reinsurance and the Probability of Ruin {u2013} Problems. Credibility Theory; Introduction to Credibility Estimates -- Classical Credibility Theory -- The Bayesian Approach to Credibility Theory -- Greatest Accuracy Credibility Theory -- Empirical Bayes Approach to Credibility Theory {u2013} Problems. No Claim Discounting in Motor Insurance; Introduction to No Claim Discount Schemes -- Transition in a No Claim Discount System -- Propensity to Make a Claim in NCD Schemes -- Reducing Heterogeneity with NCD Schemes {u2013} Problems. Generalized Linear Models Introduction to Linear and Generalized Linear Models -- Multiple Linear Regression and the Normal Model -- The Structure of Generalized Linear Models -- Model Selection and Deviance {u2013} Problems. Decision and Game Theory; Introduction -- Game Theory -- Decision making and Risk -- Utility and Expected Monetary Gain {u2013} Problems. References. Appendix A: Basic Probability Distributions -- Appendix B: Some Basic Tools in Probability and Statistics -- Appendix C: An Introduction to Bayesian Statistics -- Appendix D: Answers to Selected Problems.
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Books Books American University in Dubai American University in Dubai Main Collection HG 8781 .B67 2007 (Browse shelf(Opens below)) Available 5132983

Claims Reserving and Pricing with Run-Off Triangles; The Evolving Nature of Claims and Reserves -- Chain Ladder Methods -- The Average Cost per Claim Method -- The Bornhuetter-Ferguson or Loss Ratio Method -- An Example in Pricing Products -- Statistical Modeling and the Separation Technique -- Problems. Loss Distributions; Introduction to Loss Distributions -- Classical Loss Distributions -- Fitting Loss Distributions -- Mixture Distributions -- Loss Distributions and Reinsurance {u2013} Problems. Risk Theory; Risk Models for Aggregate Claims -- Collective Risk Models -- Individual Risk Models for S -- Premiums and Reserves for Aggregate Claims -- Reinsurance for Aggregate Claims {u2013} Problems. Ruin Theory; The Probability of Ruin in a Surplus Process -- Surplus and Aggregate Claims Processes -- Probability of Ruin and the Adjustment Coefficient -- Reinsurance and the Probability of Ruin {u2013} Problems. Credibility Theory; Introduction to Credibility Estimates -- Classical Credibility Theory -- The Bayesian Approach to Credibility Theory -- Greatest Accuracy Credibility Theory -- Empirical Bayes Approach to Credibility Theory {u2013} Problems. No Claim Discounting in Motor Insurance; Introduction to No Claim Discount Schemes -- Transition in a No Claim Discount System -- Propensity to Make a Claim in NCD Schemes -- Reducing Heterogeneity with NCD Schemes {u2013} Problems. Generalized Linear Models Introduction to Linear and Generalized Linear Models -- Multiple Linear Regression and the Normal Model -- The Structure of Generalized Linear Models -- Model Selection and Deviance {u2013} Problems. Decision and Game Theory; Introduction -- Game Theory -- Decision making and Risk -- Utility and Expected Monetary Gain {u2013} Problems. References. Appendix A: Basic Probability Distributions -- Appendix B: Some Basic Tools in Probability and Statistics -- Appendix C: An Introduction to Bayesian Statistics -- Appendix D: Answers to Selected Problems.

Includes bibliographical references (p. 304-307) and index.

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