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확률분포의 극한성질에 관하여
- 확률분포의 극한성질에 관하여
- Other Titles
- On the Limit properties of probability distributions
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- 교육대학원 수학교육전공
- 확률분포; 극한성질; 정규분포
- 이화여자대학교 교육대학원
- 추측통계학에서 모집단의 크기 또는 표본의 크기가 무한히 클 때 극한 성질로서 나타나는 초기하분포, 이항분포, 정규분포, poisson분포, t분포, χ^(2)분포 사이의 극한성질을 밝혔다.;In this paper we prove the following theorems on the limit properties of Probability Distributions :
(a) Prove that the hypergeometric distribution converges to the Binomial distribution as N→∞, where N is size of population.
(b) Prove that the Binomial distribution converges to the poisson distribution as n→∞, where n is size of sample.
(c) Prove that the Binomial distribution converges to the normal distribution as n→∞.
(d) Prove that the Poisson distribution converges to the normal distribution as n→∞.
(e) Prove that the "student" t distribution with n degrees of freedom converges to the normal distribution as n→∞.
(f) Prove that the Chi-square distribution with n degrees of freedom converges to the normal distribution as n→∞.
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