Actuarial models : the mathematics of insurance /: the mathematics of insurance. (2014)

• Record Type: Book
• Further Information: Note: Vladimir I. Rotar.
• Authors: Rotarʹ, V. I (Vladimir Ilʹich)
• Contents: Preliminary Facts from Probability and Interest; Probability and Random Variables; Expectation; Some Basic Distributions; Moment Generating Functions; Convergence of Random Variables and Distributions; Limit Theorems; Conditional Expectations. Conditioning; Elements of the Theory of Interest Comparison of Random Variables. Preferences of Individuals; A General Framework and First Criteria; Comparison of R.V.s and Limit Theorems; Expected Utility; Non-Linear Criteria; Optimal Payment from the Standpoint of an Insured An Individual Risk Model for a Short Period; The Distribution of an Individual Payment; The Aggregate Payment; Premiums and Solvency. Approximations for Aggregate Claim Distributions; Some General Premium Principles A Collective Risk Model for a Short Period; Three Basic Propositions; Counting or Frequency Distributions; The Distribution of the Aggregate Claim; Premiums and Solvency. Normal Approximation Random Processes and Their Applications I; A General Framework and Typical Situations; Poisson and Other Counting Processes; Compound Processes; Markov Chains. Cash Flows in the Markov Environment Random Processes and Their Applications II; Brownian Motion and Its Generalizations; Martingales Global Characteristics of the Surplus Process; A General Framework; Ruin Models; Criteria Connected with Paying Dividends Survival Distributions; The Probability Distribution of Lifetime; A Multiple Decrement Model; Multiple Life Models Life Insurance Models ; A General Model; Some Particular Types of Contracts; Varying Benefits; Multiple Decrement and Multiple Life Models; On the Actuarial Notation Annuity Models; Two Approaches to the Evaluation of Annuities; Level Annuities. A Connection with Insurance; Some Particular Types of Level Annuities; More on Varying Payments; Annuities with m -thly Payments; Multiple Decrement and Multiple Life Models Premiums and Reserves; Premium Annuities; Reserves Pensions Plans; Valuation of Individual Pension Plans; Pension Funding. Cost Methods Risk Exchange: Reinsurance and Coinsurance; Reinsurance from the Standpoint of a Cedent; Risk Exchange and Reciprocity of Companies; Reinsurance Market Appendix References Answers to Exercises Index Exercises appear at the end of each chapter.
• Edition: Second edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2014
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 368.01; Insurance -- Mathematical models
• Languages: English
• ISBNs: 9781482227079; 9781482227093; 9781482227109
• Related ISBNs: 9781482227062
• Notes: Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.