• 응용통계연구
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• 제25권1호
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• pp.81-87
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• 2012

재충전이 있는 연속시간 리스크 모형이 고려된다. 프레미엄은 일정한 율로 들어오고, 보험금 청구는 복합 포아송 과정을 따라 이루어진다. 초기 잉여금 u > 0로 시작하여 잉여금은 프레미엄에 의해 증가하고 보험금 청구에 의해 감소한다. 잉여금의 수준이 ${\tau}$(0 < ${\tau}$ < u)아래로 떨어지면 초기 잉여금 수준까지 재충전이 이루어진다고 가정한다. 재충전이 고려된 리스크 모형에서 잉여금이 없어지는 파산확률을 적미분 방정식을 통해 유도하고, 보험 청구액이 독립적으로 지수분포를 따르는 경우는 파산확률의 명확한 공식이 유도됨을 보인다.

• 한국의학물리학회지:의학물리
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• 제33권3호
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• pp.25-35
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• 2022

Purpose: Planning for radiotherapy relies on implicit estimation of the probability of tumor control and the probability of complications in adjacent normal tissues for a given dose distribution. Methods: The aim of this pilot study was to reconstruct dose-volume histograms (DVHs) from text files generated by the Eclipse treatment planning system developed by Varian Medical Systems and to verify the integrity and accuracy of the dose statistics. Results: We further compared dose statistics for intensity-modulated radiotherapy of the head and neck between the Eclipse software and software developed in-house. The dose statistics data obtained from the Python software were consistent, with deviations from the Eclipse treatment planning system found to be within acceptable limits. Conclusions: The in-house software was able to provide indices of hotness and coldness for treatment planning and store statistical data generated by the software in Oracle databases. We believe the findings of this pilot study may lead to more accurate evaluations in planning for radiotherapy.

• Communications for Statistical Applications and Methods
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• 제10권3호
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• pp.805-823
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• 2003

The development of probability and statistics has been treated in the works of scholars for decades. In this paper, researches on the history of statistics are classified into four categories: philosophy of science, mathematical statistics, social science and sociology of science. Four categories are presented and histories classified into categories are reviewed briefly. Considered are works by Ian Hacking (1975, 1990), Lorrain Daston (988), Anders Hald (1990, 1998), Stephen Stigler (1986), Ted Porter (1986) and Donald MacKenzie (1981). These works are classified by the author's main interests. From such a diversity in the study of its history, we can see many faces of statistics and unique features of statistics.

• Communications for Statistical Applications and Methods
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• 제3권3호
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• pp.263-269
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• 1996

The somplest approximate confidence interval for the probability of success is the one based on the normal approximation to the binomial distribution, It is widely used in the introductory teaching, and various guidelines for its use with "large" sample have appeared in the literature. This paper suggests a guideline when to use it as an approximation to the exact confidence interval, and comparisons with existing guidelines are provided. provided.

• Journal of the Korean Statistical Society
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• 제18권1호
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• pp.26-37
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• 1989

When we select the t best out of k populations in the indifference zone formulation, a lower confidence bound on the probability of a correct selection is derived for families with monotone likelihood ratio. The result is applied to the normal means problem when the variance is common, and to the normal variances problem. Tables to implement the confidence bound for the normal variances problem are provided.

• Communications for Statistical Applications and Methods
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• 제6권2호
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• pp.595-600
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• 1999

We present a simple geometric approach which uses polar transformation and elementary trigonometry to evaluating an orthant probability in a bivariate normal distribution. Figures are provided to illustrate the situation for varying correlation coefficient. We derive the distribution of the sample correlation coefficient from a bivariate normal distribution when the sample size is 2 as an application.

• Communications for Statistical Applications and Methods
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• 제7권1호
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• pp.337-356
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• 2000

In Korea mathematics education of middle school has been taken according to the 6th national mathematics curriculum which was renovated by the Ministry of Education announcement in 1992. The eight middle school mathematics textbooks are composed of under this curriculum The education of probability and statistics has been carried out as a part of statistics education centering around middle school's mathematics textbooks.

• Journal of the Korean Statistical Society
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• 제32권4호
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• pp.373-384
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• 2003

In this paper, we formulate multivariate one-sided alternatives and propose a class of nonparametric tests for possibly right censored data. We obtain the asymptotic tail probability (or p-value) by showing that our proposed test statistics have asymptotically multivariate normal distributions. Also, we illustrate our procedure with an example and compare it with other procedures in terms of empirical powers for the bivariate case. Finally, we discuss some properties of our test.

• 한국학교수학회논문집
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• 제21권4호
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• pp.469-483
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• 2018

본 연구는 예비 수학교사들이 학교수학에서 확률과 통계 교수를 위해 어떠한 준비를 해야 하는지를 알아보고 교사교육 개선에 도움을 주고자 함이다. 이를 위해 예비 교사를 대상으로 확률과 통계학 교육과정의 설문과 평가를 실시하고 이들 간의 회귀분석과 상관관계를 조사하였다. 조사를 통해 난이도에 비해 평가 결과가 낮게 나타난 문항을 추출하고 이를 토대로 분석하였다. 그 결과 첫째, 확률과 통계에 대한 중등 학교수학과 대학수학의 내용체계를 연계하여 예비 수학교사들을 지도할 필요가 있다. 둘째, 예비 수학교사들의 확률과 통계 교과목 이해 정도의 정확한 진단이 필요하다. 셋째, 예비 수학교사들이 가진 오개념과 그 원인의 다양함을 알게 되었다. 그리고 이와 관련된 지속적인 후속 연구가 필요하다는 시사점을 도출하였다.

• 한국수학교육학회지시리즈A:수학교육
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• 제55권2호
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• pp.193-208
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• 2016

This study analyzes the likelihood principle and elicits an educational implication. As a result of analysis, this study shows that Frequentist and Bayesian interpret the principle differently by assigning different role to that principle from each other. While frequentist regards the principle as 'the principle forming a basis for statistical inference using the likelihood ratio' through considering the likelihood as a direct tool for statistical inference, Bayesian looks upon the principle as 'the principle providing a basis for statistical inference using the posterior probability' by looking at the likelihood as a means for updating. Despite this distinction between two methods of statistical inference, two statistics schools get clues to compromise in a regard of using frequency prior probability. According to this result, this study suggests the statistics education that is a help to building of students' critical eye by their comparing inferences based on likelihood and posterior probability in the learning and teaching of updating process from frequency prior probability to posterior probability.