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The Validation of Brass's Model Life Table System.

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Population Studies

|November 11, 2011

Summary

This summary is machine-generated.

This study assesses the fit of two-parameter Brass model life tables to English life tables. A new, simple method is presented for approximating solutions to intractable equations, improving life table analysis.

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Area of Science:

Demography
Actuarial Science
Statistical Modeling

Background:

Life tables are crucial for understanding mortality patterns.
The two-parameter Brass model is a tool for life table construction.
Assessing model fit to empirical data is essential for reliable demographic analysis.

Purpose of the Study:

To evaluate the closeness-of-fit of the two-parameter Brass model to English life tables.
To explore various life table functions and criteria for assessing the best fit.
To develop a practical method for solving the complex equations involved in Brass model fitting.

Main Methods:

Comparison of Brass model life tables with empirical English life tables.
Application of diverse life table functions and best-fit criteria.
Development and testing of a simplified approximation method for intractable fitting equations.

Main Results:

The direct solution of Brass model fitting equations was found to be intractable.
A straightforward approximation method was successfully developed and applied.
The study provides detailed computer output for typical cases examined.

Conclusions:

The two-parameter Brass model can be fitted to English life tables with acceptable accuracy using the proposed approximation method.
The developed method offers a practical solution for researchers facing computational challenges in Brass model fitting.
This research contributes to more accurate demographic projections and actuarial calculations.