Education
Ph D in Applied Business and Economics, University of Pennsylvania, Wharton, Philadelphia, PA, 1975-01-01
Courses Taught
INS 395
Supervised off-campus, nongroup instruction including field experiences, practica, or internships. Written and oral critique of activity required.
INS 410
Compound interest and annuity functions; equations of value; determination of yield rates; construction of tables.
INS 411
A study of the mathematical theory of life contingencies; single-life functions and their applications.
INS 412
Joint-life and survivor-life functions, population life tables, and multiple decrement theory, with applications to disability and retirement problems.
INS 494H (H)
Supervised student activities on research projects identified on an individual or small-group basis.
Selected Publications
Shapiro A. F., Koissi M. C. "Extensions of the Lee-Carter method and applications to life insurance mortality models" Actuarial Research Clearing House, 2009-01-01
Shapiro A. F. "Fuzzy random variables" Insurance: Mathematics and Economics, vol. 44, 2009-01-01
Shapiro A. F., Koissi M. C. "Fuzzy regression and the term structure of interest rates-A least squares approach" Actuarial Research Clearing House, 2009-01-01
Shapiro A. F. "A Fuzzy Random Variable Primer" Actuarial Research Clearing House, 2008-01-01
Shapiro A. F. "An overview of insurance uses of fuzzy logic" Computational Intelligence in Economics and Finance, 2007-01-01