母數의 點据定에 關하여

Abstract

본 논문에서는 추측통계학의 가장 기본적인 母數의 推定에서, 특히 点推定의 바람직한 條件, 즉 不偏性, 一致性, 有效性, 充足性, 最尤性등의 性質을 밝히고, 点推定의 몇 가지 代表的인 推定量들이 이러한 條件들을 만족하는가를 조사하여 다음과 같은 사실을 밝혔다. a) 標本平均은 不偏性, 一致性, 有效性, 充足性, 最尤性을 갖는다. b) 標本分散은 不偏性을 갖지 않는다. c) 標本比率은 不偏性, 一致性, 有效性, 充足性, 最尤性을 갖는다.;In this paper of the point estimation of a parameter, we have a result as follows: a) In theorem 1, theorem 4, theorem 5, theorem 8 and theorem 10 of the main subject, it was shown that the sample mean has the property of unbiasedness, consistency, efficiency, sufficiency and maximum likelihood respectively. b) According to theorem 2 of the main subject, it was proved that sample variance doesn't have the property of unbiasedness. c) In corollary 1, corollary 4, theorem 6, theorem 7 and theorem 9 of the main subject, it was verified that the proportion of the sample has the property of unbiasedness, consistency, efficiency, sufficiency and maximum likelihood respectively.