"For nearly 200 years actuaries, statisticians, and demographers have sought to summarize the age pattern of mortality rates by means of a limited number of parameters. Such 'model schedules' have also been useful in representing schedules of rates other than mortality....This paper illustrates a particular general functional form for such model schedules: the multiexponential function. It discusses the changing behavior of this function as its parameters take on different values and examines the quality of the fits of this function to observed data on mortality, fertility, and migration." This is a revised version of a paper originally presented at the 1993 Annual Meeting of the Population Association of America. (SUMMARY IN FRE)

中文翻译：

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使用多指数模型计划参数化人口比率的年龄模式*

“近 200 年来，精算师、统计学家和人口统计学家一直试图通过有限数量的参数来总结死亡率的年龄模式。这种‘模型表’在表示除死亡率以外的其他比率表方面也很有用...... .本文说明了这种模型时间表的一个特殊的一般函数形式：多指数函数。它讨论了这个函数的变化行为，因为它的参数取不同的值，并检查了这个函数与观察到的死亡率、生育率数据的拟合质量，和迁移。” 这是最初在 1993 年美国人口协会年会上发表的论文的修订版。（免费摘要）