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Actuarial models : the mathematics of insurance / Vladimir I. Rotar

By: Material type: TextTextLanguage: English Publication details: Boca Raton : Chapman & Hall/CRC, 2007.Description: xxii, 633p. illustrationsISBN:
  • 9781584885863
  • 1584885866
Subject(s): DDC classification:
  • 368.01 ROT
Contents:
Ch. 0. Some preliminary notions and facts from probability theory, the theory of interest, and calculus -- ch. 1. Comparison of random variables. Preferences of individuals -- ch. 2. An individual risk model for a short period -- ch. 3. Conditional expectations -- ch. 4. A collective risk model for a short period -- ch. 5. Random processes. I. Counting and compound processes. Markov Chains. Modeling claim and cash flows -- ch. 6. Random processes. II. Brownian motion and martingales. Hitting times -- ch. 7. Global characteristics of the surplus process. Ruin models. Models with paying dividends -- ch. 8. Survival distributions -- ch. 9. Life insurance models -- ch. 10. Annuity models -- ch. 11. Premiums and reserves -- ch. 12. Risk exchange : reinsurance and coinsurance.
Summary: Suitable for students preparing for level 300 actuarial exams in the US, this book provides comprehensive information for actuaries and researchers. It contains topics such as modern utility theory, martingales, accuracy of normal approximations, models with payments of dividends, reinsurance models, and classification of distributions.
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Item type Current library Call number Status Date due Barcode
Books Institute of Public Enterprise, Library S Campus 368.01 ROT (Browse shelf(Opens below)) Available 45018

Include Statistical tables.

Includes References and Index.

Ch. 0. Some preliminary notions and facts from probability theory, the theory of interest, and calculus --
ch. 1. Comparison of random variables. Preferences of individuals --
ch. 2. An individual risk model for a short period --
ch. 3. Conditional expectations --
ch. 4. A collective risk model for a short period --
ch. 5. Random processes. I. Counting and compound processes. Markov Chains. Modeling claim and cash flows --
ch. 6. Random processes. II. Brownian motion and martingales. Hitting times --
ch. 7. Global characteristics of the surplus process. Ruin models. Models with paying dividends --
ch. 8. Survival distributions --
ch. 9. Life insurance models --
ch. 10. Annuity models --
ch. 11. Premiums and reserves --
ch. 12. Risk exchange : reinsurance and coinsurance.

Suitable for students preparing for level 300 actuarial exams in the US, this book provides comprehensive information for actuaries and researchers. It contains topics such as modern utility theory, martingales, accuracy of normal approximations, models with payments of dividends, reinsurance models, and classification of distributions.

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