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Table of Contents Absolute-pollution Exclusion Abuse Accident Insurance Accounting Accrual Rate Accrued Benefits Funding Methods Accumulation Units Actuarial Control Cycle Actuarial Estimate Actuarial Funding Actuarial Institute of the Republic of China Actuarial Liability Actuarial Research Clearing House (ARCH) Actuarial Society of America Actuarial Society of Ghana Actuarial Society of Hong Kong Actuarial Surplus/Deficiency Actuary Adjusting and Other Expense Adjustment Coefficient Adult Polycystic Kidney Disease Adverse Selection Affine Models of the Term Structure of Interest Rates AFIR Agents Balances Age-to-age Factors Aggregate Limit Aggregate Loss Modeling Aggregate Method Aircraft Products Liability Aktuarvereinigung Österreichs (Austrian Actuarial Association) ALAE Allele Allocation Rate Alternative Risk Transfer American Academy of Actuaries American Risk and Insurance Association (ARIA) American Society of Pension Actuaries Ammeter Process Ammeter, Hans (1912--1986) Analysis of Surplus Annual Aggregate Deductible Annual Aggregate Limit Annual Statements Annuities Annuity Certain Annuity Due Antiselection, Life Insurance Antiselection, Non-life Appointed Actuary Apportionable Premium Approximating the Aggregate Claims Distribution Aquaculture Insurance AR, ARMA Process Arbitrage Pricing Model Arbitrage ARCH Model Argentina, Actuarial Associations Arrow--Pratt Index Asociación Mexicana de Actuarios Consultores Asociación Mexicana de Actuarios Assessmentism Asset Allocation Asset Management Asset Shares Asset--Liability Modeling Assets in Pension Funds Association of Actuaries and Financial Analysts Association Royale des Actuaires Belges ASTIN Attachment Point Attained Age Method Audit Automobile Insurance, Commercial Automobile Insurance, Private Avalanche Aviation Insurance Bühlmann--Straub Model Background Risk Bailey, Arthur L. (1905--1954) Bailey--Simon Method Balance Sheet Balducci Assumption Bankruptcy Bayesian Claims Reserving Bayesian Statistics Beard, Robert Eric (1911--1983) Beekman's Convolution Formula Benktander Distribution Bernoulli Distribution Bernoulli Family Berry--Esséen Inequality Beta Distribution Beta Function Beveridge System Bias Bid Bond Bid--Ask Spread Bid--offer Spread Binomial Distribution Binomial Model Bismarck System Black--Scholes Model Blue Water Hull Bonus Hunger Bonus in Life and Pension Insurance Bonus Reserve Valuation Bonus Smoothing Account Bonus--Malus Systems Borch, Karl Henrik (1919--1986) Borch's Theorem Bordereaux Borel--Cantelli Lemma Bornhuetter--Ferguson Method Bowers' Gamma Approximation Brace--Gatarek--Musiela Approximation Brazilian Institute of Actuaries (IBA) Break-even Point Breslau Table British Actuarial Journal Brownian Motion Budget Ultimate Losses Bundling Burglary Insurance Burning Cost Burr Distribution Business Interruption Insurance Buy-up Policy C1--C4 Risks Cafeteria Plans Canadian Institute of Actuaries Cape Cod Method Capital Allocation for P&C Insurers: A Survey of Methods Capital Asset Pricing Models Capital in Life Assurance Capital Units Captives Cargo Insurance Case Reserve Cash Balance Plans Cash Flow Statement Casualty Actuarial Society Casualty Insurance Catastrophe Derivatives Catastrophe Excess of Loss Catastrophe Models and Catastrophe Loads Caveat Emptor CBNI Reserve CBNS Reserve Cede Ceiling Censored Distributions Censoring Census Method Central Limit Theorem Central Mortality Rate \v{C}esk Spole\v{c}nost Aktu r\ucirc{u} Chain-Ladder Method Change of Measure Characteristic Function China, Development of Actuarial Science Chromosome Churning Claim Expense Liabilities Claim Frequency Claim Number Processes Claim Size Processes Claims Inflation Claims Reserve Claims Reserving in Non-Life Insurance Claims Reserving using Credibility Methods Claims-made Basis in Reinsurance Claims-made Policy in Direct Insurance Clash Layer Closed Claim Clustering Coastal Hull Coefficient of Variation Cohort Coinsurance Collegi d'Actuaris de Catalunya Colegio Nacional de Actuarios Collective Investment (Pooling) Collective Risk Models Collective Risk Theory Combinatorics Combined Ratio Comité Permanent des Congrés d'Actuaires Commercial Bond Commercial Multi-peril Insurance Commission Liabilities Commutation Functions Comonotonicity Competing Risks Competing Risks Complete Markets Compound Distributions Compound Interest Compound Poisson Frequency Models Compound Process Concave Conditional Probability/Expectation Conference of Consulting Actuaries Conjugate Prior Consejo Profesional de Ciencias Económicas de la Ciudad Autónoma de Buenos Aires Consequential Damage Contingent Capital Contingent Insurance Continuous Multivariate Distributions Continuous Parametric Distributions Continuous Period Contract Bond Contributed Surplus Contribution Plan Control Period Convexity Convolutions of Distributions Cooperative Game Theory Copulas Co-reinsurance Coronary Heart Disease Correlation Coefficient Counting Processes Coupling Covariate Cover Note Coverage Cox Process Cox--Ingersoll--Ross Model Cramér Condition Cramér, Harald (1893--1985) Cramér--Lundberg Asymptotics Cramér--Lundberg Condition and Estimate Credibility Theory Credit Insurance Credit Risk Credit Scoring Croatian Actuarial Association Crop Insurance Cumulant Current Unit Method Curtate Future Lifetime Cyprus Association of Actuaries (CAA) Damageability Function Data Analysis Data Mining De Finetti, Bruno (1906--1985) De Moivre, Abraham (1667--1754) De Pril Recursions and Approximations De Pril Transform De Pril's Approximation De Witt, Johan (1625--1672) Decision Theory Decrement Analysis Deductible Defense and Cost Containment Deferral/Matching Deferred Acquisition Costs Deferred Period Defined Accrued Benefit Method Defined Benefits Defined Contributions Delaporte Distribution Demography Demutualization Den Danske Aktuarforening Den Norske Aktuarforening (The Norwegian Society of Actuaries) Dependent Risks Deregulation of Commercial Insurance Derivative Pricing, Numerical Methods Derivative Securities Design Matrix Deutsche Aktuarvereinigung e. V. (DAV) Development Year DFA---Dynamic Financial Analysis Dhaene--Vandebroek's Recursion Diffusion Approximations Diffusion Processes Direct Costs Direct Insurance Directionally Convex Functions Directors and Officers Insurance Dirichlet Processes Disability Income Insurance Disability Insurance, Numerical Methods Disability Insurance Discount Factor Discounted Cash Flow Model Discounting Discrete Multivariate Distributions Discrete Parametric Distributions Discretization of Distributions Discriminant Analysis Dismemberment Distorted Probability Distribution System Diversification Dividend Discount Model Dividends Dividing Societies DNA Dodson, James (1710--1757) Drought Duration Dynamic Financial Modeling of an Insurance Enterprise Early Mortality Tables Early Retirement Factor Early Warning Systems Early-onset Alzheimer's Disease Earthquake Insurance ECOMOR Reinsurance Economic Capital Edgeworth Approximation Edgeworth Expansion Efficient Markets Hypothesis Elasticity Elimination Period EM-algorithm Embedded Value Empirical Bayes Theory Empirical Distribution Employer's Liability Insurance Employment Practices Liability Insurance Endowment Energy Insurance Entity-specific Value Entry Age Method Equalization Reserve Equilibrium Distribution Equilibrium Theory Equitas Equity Indexed Annuity Equivalence Principle Equivalent Martingale Measure Erlang Distribution Esscher Approximation Esscher Transform Estate Estimated Maximum Loss Estimation Estonian Actuarial Society Euler--Maclaurin Expansion and Woolhouse's Formula Exceedance Probability Curves Excess Losses Excess of Loss Reinsurance Exclusions in Direct Insurance Exclusions in Reinsurance Expectation of Life Expected Shortfall Expense Inflation Expense Ratios Expenses in Life Insurance Experience Basis Experience Rating Exponential Dispersion Family Exponential Distribution Exponential Tilting Exposed to Risk Exposure Rating Extreme Value Distributions Extreme Value Theory Extremes Factor Analysis Facultative Reinsurance Faculty of Actuaries Failure Rate Fair Value Familial Breast Cancer Fertility Fidelity and Surety Fidelity Bond Filtration Finance Financial Economics Financial Engineering Financial Insurance Financial Intermediaries: the Relationship Between their Economic Functions and Actuarial Risks Financial Markets Financial Pricing of Insurance Financial Reinsurance Finite Risk Reinsurance Fire Insurance First Order Basis First Party Coverage Fisher's Scoring Technique Fixed-income Security Flesacker--Hughston Framework Flood Risk Fluctuation Reserves Force of Mortality Foreign Exchange Risk in Insurance Forfeiture Forwards Fourier Transform Frailty Franchise Franckx, Edouard (1907--1988) Fraud in Insurance Free Riding Freight, Demurrage and Defence Cover Friendly Societies Frontier Between Public and Private Insurance Schemes Full Value Insurance Fully Indexed Clause Fund Charge Fund Management Charge Funding Ratio Future Service Reserve Futures Fuzzy Set Theory GAAP Gamma Distribution Gamma Function GARCH Model Gaussian Processes General Insurance Generalized Discrete Distributions Generalized Linear Models Genetics and Insurance Geneva Association Geneva Papers on Risk and Insurance Genotype Geometric Distribution Gibbs Sampling Girsanov's Theorem Going Concern Gompertz, Benjamin (1779--1865) Good Faith Graduation Graphical Methods Graunt, John (1620--1674) Greeks Gross Net Premium Income Gross Premium Valuation Group Life Insurance Group Personal Pensions Groupe Consultatif Actuariel Européen Guaranteed Annuity Option Hachemeister's Regression Model Hail Insurance Haldane Approximation Halley, Edmond (1656--1742) Hattendorff's Theorem Hazard Rate Health Insurance Heath--Jarrow--Morton Framework Heavy-tailed Heckman--Meyers Algorithm Hedging and Risk Management Helix Hellenic Actuarial Society Het Actuarieel Genootschap (The Dutch Actuarial Society) Heterogeneity in Life Insurance Hidden Markov Models Hipp's Approximation Historical Cost History of Actuarial Education History of Actuarial Profession History of Actuarial Science History of Insurance Ho--Lee Models Homeowners Insurance Hours Clause Household Insurance Hull and Machinery Insurance Hull--White Model Hungarian Actuarial Society Huntington's Disease Hurricane Huygens, Christiaan and Lodewijck Hypergeometric Distribution IASB IBNR Reserve IBNS Reserve Immunization Impairment Inception Annuity Income Protection Insurance Income Statement Incomplete Markets Indemnity Index Clause Indexed Deductible Indexing Index-linked Security Individual Retirement Account Individual Risk Model Industrial Special Risks Cover Infinite Divisibility Inflation Impact on Aggregate Claims Inflation: A Case Study Information Criteria Initial Units Insolvency Installment Premium Institut des Actuaires Institute of Actuaries of Australia Institute of Actuaries of Japan Institute of Actuaries Instituto Actuarial Argentino Insurability Insurable Interest Insurance Capital Asset Pricing Model Insurance Company Insurance Derivatives Insurance Expense Liabilities Insurance Forms Insurance Regulation and Supervision Insurance Securitization Insurance: Mathematics and Economics Insuratization Integrated Products Integrated Tail Distribution Interest Rate Risk and Immunization Interest-rate Modeling Internal Rate-of-return Model International Accounting Standards International Actuarial Association International Actuarial Notation International Association for the Study of Insurance Economics---`The Geneva Association' International Association of Consulting Actuaries Inverse Gaussian Distribution Investment Growth Rate Israel Association of Actuaries Issued Capital Istituto Italiano degli Attuari Itô Calculus Jackknifing Jensen's Inequality Journal of Actuarial Practice Journal of Risk and Insurance Kalman Filter, Reserving Methods Kalman Filter Kaplan--Meier Estimator Kendall's τ Keogh Plan Kernel Methods Kolmogorov Backward Equations Kornya's Approximation Lévy Processes Ladder Height LAE Landslide Landslip Laplace Transform Laplace, Pierre Simon Lapse Lapses Large Deviations Largest Claims and ECOMOR Reinsurance Latent Claim Latvian Actuarial Association Law of Large Numbers Layer Lee--Carter Model Leverage Lexis Diagram Liability Insurance Liability Management Licence Bond Lidstone, George James (1870--1952) Lidstone's Theorem Life Insurance Mathematics Life Insurance Life Reinsurance Life Table Data, Combining Life Table Link Function Link Ratio Method Linton, Morris Albert (1887--1966) Liquidation Living Benefit Guarantee Lloyd's Loan-to-value Ratio Locus Logarithmic Distribution Log-gamma Distribution Logistic Regression Model Log-normal Distribution Long Range Dependence Longevity Longstaff--Schwartz Model Long-tail Business Long-term Care Insurance Long-term Health Insurance Long-term Sickness Insurance Loss of Hire Insurance Loss Ratio Method Loss Ratio Loss Reserve Losses-occurring Basis Loss-of-income Insurance Loss-of-Profits Insurance Loss-of-time Insurance Lotteries Lundberg Approximations, Generalized Lundberg Inequality for Ruin Probability Lundberg, Filip (1876--1965) Lutine Bell Maclaurin, Colin Macro Pricing Malus Manchester Unity Marginal Pricing Marginal Totals Marine Insurance Market Equilibrium Market Models Market Value Adjustment Markov Chain Monte Carlo Methods Markov Chains and Markov Processes Markov Models in Actuarial Science Martingales Mass Tort Liabilities Matching Material Facts Maturity Guarantees Working Party Maturity Guarantees Maximum Benefit Period Maximum Likelihood Maximum Limit McClintock, Emory (1840--1916) Mean Residual Lifetime Mean--variance Criterion Medical Underwriting Mendel's Laws Merit Rating Meteors Mexico, Actuarial Associations Meyers--Read Approach Migration Minimum Variance Principle Mixed Poisson Distributions Mixture of Distributions Mixtures of Exponential Distributions Model Office Moment Generating Function Monte Carlo Methods in Life Insurance Montreal Agreement Moral Hazard Morgan, William Mortality Laws Mortality Tale Mortgage Insurance in the United States Motor Insurance Multitrigger Products Multivariate Distribution Multivariate Statistics Mutation Mutuals Nash Equilibrium National Associations of Actuaries Natural Hazards Negative Binomial Distribution Net Income Net Investment Income Neural Networks New Zealand Society of Actuaries Neyman Type A No-claim Discount System Noncancellable Sickness Insurance Noncooperative Game Theory Nonexpected Utility Theory Non-life Insurance Non-life Reserves---Continuous Time Micro Models Nonparametric Statistics Nonparticipating Business Nonprofits Business Nonproportional Reinsurance Normal Distribution Normal Equations Normal Power Approximation North American Actuarial Journal Northampton Table Numerical Algorithms Obligatory Reinsurance Occurrence Policy Occurrence/Exposure Rate Ocean Hull Offshore Insurance Ohlin's Lemma Oligopoly in Insurance Markets On-leveling Open Cover Operational Time Operations Research Optimal Risk Sharing Optimization (Stochastic) Options and Guarantees in Life Insurance Options Ordering of Risks Ornstein--Uhlenbeck Process Orphan Assets Outlier Detection Overdispersion Overheads P&I Clubs Package Mod Paid-up Policy Paid-up Sum Assured Pakistan Society of Actuaries Panjer Recursion Parameter and Model Uncertainty Pareto Distribution Pareto Optimality Pareto Rating Participating Business Past Service Reserve Pay As You Go Payback Period Payment Bond Pearson Correlation Penetrance Pension Fund Mathematics Pension Fund Pensions, Individual Pensions: Finance, Risk and Accounting Pensions Performance Bond Peril of the Sea Peril Permanent Assurance Permanent Health Insurance Permanent Sickness Insurance Permit Bond Persatuan Aktuari Malaysia Phase Method Phase-type Distributions Phenotype PML Point Processes Poisson Distribution Poisson Processes Policy Liabilities Policy Limit Policy Policyholder Dividends Polskie Stowarzyszenie Aktuariuszy Pooling Equilibria Pooling in Insurance Pooling of Employee Benefits Population Dynamics Population Projection Portfolio Theory Portfolio Transfer Portuguese Institute of Actuaries Posterior Distribution Postselection Prediction Premium Balances Premium Principles Premium Tax Liabilities Premium Premiums Receivable Present Values and Accumulations Price, Richard (1726--1791) Primary Insurance Principal Component Analysis Principle of Equivalent Utility Prior Distribution Pro Rata Temporis Probability Generating Function Probability Theory Probable Maximum Loss Probationary Period Professionalism Profit Testing Projected Unit Method Projection of Future Mortality Property and Casualty Insurance Property Insurance---Personal Property-liability Insurance Proportional Reinsurance Prospective Benefits Funding Methods Prospective Reserve Protected Cell Protection and Indemnity Clubs Public Official Bond PUP Qualification Period Quantile Measure Queueing Theory Quota-share Reinsurance Random Number Generation and Quasi-Monte Carlo Random Variable Random Walk Rare Event Rate on Line Ratemaking RBNS Reserve Reciprocal Exchange Redington, Frank Mitchell (1906--1986) Regenerative Processes Registered Retirement Income Fund Registered Retirement Savings Plan Regression Models for Data Analysis Regular Variation Reinstatement Reinsurance Forms Reinsurance Pricing Reinsurance Receivables Reinsurance Recoverables Reinsurance Supervision Reinsurance to Close Reinsurance, Functions and Values Reinsurance, Reserving Reinsurance---Terms, Conditions, and Methods of Placing Reinsurance Reister Plan Reliability Analysis Reliability Classifications Renewable, Increasable, Convertible Term Assurance Renewal Theory Replacement Value Resampling Reserve Process RESTIN Retention and Reinsurance Programmes Retroactive Date Retrocession Retrospective Premium Retrospective Reserve Revenue Policy Risk Aversion Risk-based Capital Allocation Risk Budgeting Risk Classification, Practical Aspects Risk Classification, Pricing Aspects Risk Discount Rate Risk Loading Risk Management and Insurance Review Risk Management, Integrated Risk Management: An Interdisciplinary Framework Risk Measures Risk Minimization Risk Neutral Risk Premium Risk Process Risk Rate Risk Statistics Risk Utility Ranking Risk-adjusted Rate Risk-attaching Basis Risk-based Capital Requirements Risk-free Rate Risk-neutral Pricing Robustness Rubinow, Isaac Max (1875--1936) Ruin Theory Run-off Triangle Satellite Insurance Savings Premium Scale Distribution Scandinavian Actuarial Journal Schedule Ultimate Losses Schedules Screening Methods Seasonality Second Order Basis Segerdahl, Carl--Otto (1912--1972) Segregated Fund Insurance Select Mortality Selection Self-insurance Self-investment Sensitivity Analysis Sensitivity Testing Separation Method Seriatim Approach Service Table Severe Inflation Clause Severity of Ruin Shot-noise Processes Sickness Insurance Sigma-algebra Simulation Methods for Stochastic Differential Equations Simulation of Risk Processes Simulation of Stochastic Processes Singapore Actuarial Society Skandinavisk Aktuarietidskrift Skewness Sleep-easy Cover Sliding Scale Slovak Society of Actuaries Slovensko Aktuarsko Dru\v{s}tvo. Slovenian Association of Actuaries (SAA) Slowly Varying Function Social Insurance Social Security Society of Actuaries Solvency Sparre Andersen Process Spearman's ρ Spectral Density/Distribution Splines Stability Stable Distributions Stable Population Model Stakeholder Pension Standard Contribution Rate Stationary Processes Statistical Terminology Statutory Capital Stevin, Simon Stochastic Calculus Stochastic Control Theory Stochastic Differential Equation Stochastic Dominance Stochastic Integral Stochastic Investment Models Stochastic Optimization Stochastic Orderings Stochastic Processes Stochastic Simulation Stop-loss Premium Stop-loss Reinsurance Stop-loss Ordering Stop-loss Transform Stopping Time Storm Surge Stress Testing Structural Distribution Subexponential Distributions Subject Premium Subsidence Sufficient Statistics Sum at Risk Sum Insured Sundt and Jewell Class of Distributions Sundt's Classes of Distributions Suomen Aktuaariyhdistys---The Actuarial Society of Finland Superannuation Superhedging Superimposed Inflation Surety Bond Surplus in Life and Pension Insurance Surplus Process Surplus Treaty Surrenders and Alterations Survival Analysis Survival Function Svenska Aktuarieföreningen, Swedish Society of Actuaries Sverdrup, Erling (1917--1994) Swaps Swaption Swiss Association of Actuaries Syndicate Tail Value-at-risk Technical Bases in Life Insurance Term Insurance Term Structure of Interest Rates Thiele, Thorvald Nicolai (1838--1910) Thiele's Differential Equation Thinned Distributions Third Party Coverage Time of Ruin Time Series Tontine Total Loss Total Service Reserve Transaction Costs Transforms Travel Insurance Treaty Reinsurance Truncated Distributions Tsunami Uberrima Fides Ukrainian Actuarial Society ULAE Umbrella Cover Under and Over Dispersion Underwriting Cycle Underwriting Expenses Underwriting Income Underwriting Unearned Premium Reserve (Liability) Unemployment Insurance Unexpired Risk Reserve Uniform Distribution of Deaths Uniform Distribution Unit Costs Unitised With-profits Business Unitised With-profits Policy Unit-linked Business Universal Life Utility Maximization Utility Theory Valuation Basis Valuation of Life Insurance Liabilities Value-at-risk Variable Annuity Guaranteed Living Benefits Variable Annuity Insurance Vasicek Model Volatility Vulcanism Waiting Period Wallace, Robert Waring's Theorem Warsaw Convention Webster, Alexander Weibull Distribution Whittaker, E.T. Wiener Process Wiener--Hopf Factorization Wilkie Investment Model Wilson--Hilferty Approximation With-profits Business Withdrawal Without-profits Business Woolhouse's Formula Workers' Compensation Insurance Working Covers Wright, Elizur (1804--1885) xs XSE XSI Yield Curve Zero-modified Frequency Distributions Zillmerisation
Library of Congress Subject Headings for this publication:
Insurance -- Mathematics -- Encyclopedias.