Financial and Actuarial Statistics

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A01=Arnold F. Shapiro
A01=Dale S. Borowiak
actuarial mathematics
actuarial statistics for stochastic status models
advanced insurance modeling
Aggregate Claim
Apportionable Annuity
Author_Arnold F. Shapiro
Author_Dale S. Borowiak
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confidence and prediction intervals for actuarial and financial statistics
Continuous Annuity
Cumulative Distribution Function
deterministic status structures
effective
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Excel functions for statistical and actuarial computations
financial and actuarial modeling from a statistical point of view
future
Future Lifetime
High Risk Stratum
interval
Life Annuity
life insurance and life annuity models
Life Insurance Policies
Life Table
lifetime
Loss Function
Markov chain modeling in finance
Markov chains and actuarial applications
Markov process applications
mathematical and statistical background for the financial and actuarial industries
maximum likelihood approach to parameter estimation
Mixed Random Variable
model
Mortality Table
Nominal Annual Interest Rate
Nonhomogeneous Markov Chain
option pricing diagnostics
parameter estimation methods
prediction
Prediction Intervals
probability distributions
random
Random Variables
risk modeling
Saddlepoint Approximation
simulation techniques in investment pricing
Single Risk Model
Standard Life Insurance
Statistical Techniques for Financial and Actuarial Applications
status
stochastic
Stochastic Status
Stochastic Status Model
stochastic status structures
surplus models and ruin computations
survival analysis
Survival Function
Term Life Insurance
Transition Matrix
Unit Benefit
variable

Product details

  • ISBN 9780367576264
  • Weight: 660g
  • Dimensions: 156 x 234mm
  • Publication Date: 30 Jun 2020
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Understand Up-to-Date Statistical Techniques for Financial and Actuarial Applications

Since the first edition was published, statistical techniques, such as reliability measurement, simulation, regression, and Markov chain modeling, have become more prominent in the financial and actuarial industries. Consequently, practitioners and students must acquire strong mathematical and statistical backgrounds in order to have successful careers.

Financial and Actuarial Statistics: An Introduction, Second Edition enables readers to obtain the necessary mathematical and statistical background. It also advances the application and theory of statistics in modern financial and actuarial modeling. Like its predecessor, this second edition considers financial and actuarial modeling from a statistical point of view while adding a substantial amount of new material.

New to the Second Edition



  • Nomenclature and notations standard to the actuarial field


  • Excel exercises with solutions, which demonstrate how to use Excel functions for statistical and actuarial computations


  • Problems dealing with standard probability and statistics theory, along with detailed equation links


  • A chapter on Markov chains and actuarial applications


  • Expanded discussions of simulation techniques and applications, such as investment pricing


  • Sections on the maximum likelihood approach to parameter estimation as well as asymptotic applications


  • Discussions of diagnostic procedures for nonnegative random variables and Pareto, lognormal, Weibull, and left truncated distributions


  • Expanded material on surplus models and ruin computations


  • Discussions of nonparametric prediction intervals, option pricing diagnostics, variance of the loss function associated with standard actuarial models, and Gompertz and Makeham distributions


  • Sections on the concept of actuarial statistics for a collection of stochastic status models


The book presents a unified approach to both financial and actuarial modeling through the use of general status structures. The authors define future time-dependent financial actions in terms of a status structure that may be either deterministic or stochastic. They show how deterministic status structures lead to classical interest and annuity models, investment pricing models, and aggregate claim models. They also employ stochastic status structures to develop financial and actuarial models, such as surplus models, life insurance, and life annuity models.

Dale S. Borowiak is a Professor Emeritus at the University of Akron, where he served for 35 years teaching statistics and initiating the actuarial science program. He received a Ph.D. from Bowling Green State University. His research has been published in professional journals in the fields of statistics, actuarial science, and engineering. He also published Model Discrimination for Nonlinear Regression Models, along with the first edition of the current text.



Arnold F. Shapiro is a Professor Emeritus at the Pennsylvania State University, where he was director of the actuarial program. He received a Ph. D. from the University of Pennsylvania (Wharton). He has published more than 100 articles in professional journals and two books. A Fellow of the Society of Actuaries and an Enrolled Actuary, he been a recipient of the Innovation in Teaching Award from the American Risk and Insurance Association and the Best Research Paper Award from the Health Section of the Society of Actuaries.

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