Statistically speaking, human life is a random process.
Age-specific rate is subject to random variation and any expression of the rates must take this variation into account.
Life table is designed to summarize the mortality experience of an entire population by age group for the purpose of comparing it with that of other population.
In comparing life table function of a population with that of other population, Standard Error or Sample variance of the life table function is needed for statistical inference.
This study was conducted to draw a statistical inference on Korean life table functions (1980), based on the mortality experience in Korea for 1978-79.
The data for this purpose were obtained from the 1980 Population Census Report of Korea and the 1978-1979 Korean Abridged Life Table by E.P.B.
The findings are summarized as follows.
1) The Sample Variance and Standard Error of the Life Table Functions:
Sample variances of the probability of dying at each age interval 0, 10-14, 75-79, are 7.54107×10^-8, 0.94437×10^-8, 1234.85243×10^-8 for male and 10.49326×10^-8, 0.59953×10^-8, 591.20465×10^-8 for female, respectively.
2) The Probability of Dying:
The 95% confidence interval for the probability of dying at birth is 0.03086In other words, the probability that a newborn will not survive to the first birthday is between 0.03086 and 0.03194 for male, and between 0.04039 and 0.04167 for female. The probability of dying for female in the first year of life is significantly greater at 1% level of significance than that for male.
3) The Survival Probability:
The survival probability of male from birth to age 25 is greater than that of female. There is no significant difference between male and female from birth to age 30. And the survival probability of female from birth to age 35 over is greater than that of male.
4) The Expectation of Life:
For whole intervals of age, the Expectation of Life for female is greater than that for male (p<0.01).
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