The survival function: an approximation of its equation based on Gompertz's hypothesis

Date

3-1990

Degree

Bachelor of Science in Applied Mathematics

College

College of Arts and Sciences (CAS)

Adviser/Committee Chair

Rolando E. Ramos

Abstract

The equation of the survival function of the Commissionaire 1958 Standard Ordinary Mortality Table was approximated based on Gompertz's hypothesis The form of the equation an pro-posed by Compertz is n(x) = g(cx-1) , where g and o are unknown parameters. A computer program employing the method of differential correction in approximating the values of the constants g and .3, was developed. When the equation was fitted over the entire range of ages, from 0 to 99, no significant approximation was obtained. However, when the range of ages was divided into five intervals and the approximation was limited to ages 0 to 65, the equation formulated produced less error, and was a good fit to the survival function of the table as indicated by the result of the Kolmogorov-Smirnov Goodness-of-Fit Test.

Language

English

Location

UPLB Main Library Special Collections Section (USCS)

Document Type

Thesis

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