• Journal of the Korean Data and Information Science Society
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• v.26 no.4
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• pp.781-790
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• 2015

The Parrondo paradox is the counter-intuitive phenomenon: when we combine two losing games we can win the game or when we combine two winning games we can lose the game. In this paper, we assume that an investor adopts the rule of the history-dependent Parrondo game for investment in the stock market. Using the KRX (Korea Exchange) data from 2012 to 2014, we found the Parrondo paradox in the stock trading: the redistribution of profits among accounts can turn the decrease of the expected cumulative profit into the increase of the expected cumulative profit. We also found that the opposite case, namely the reverse Parrondo effect, can happen in the stock trading.

• Journal of health informatics and statistics
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• v.43 no.4
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• pp.318-328
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• 2018

Objectives: People are living longer, but often with diseases or chronic conditions. As a consequence, interest in resolving insurance blind spots is growing. This study provides substandard risk-relevant statistics to help substandard risks who are likely to fall in insurance blind spots obtain insurance coverage, such as the reimbursement of medical costs, as well as to stimulate insurance product development. Methods: This study uses National Health Insurance Service (NHIS) cohort data to determine the relevant statistics. The incidence rates of severe diseases are derived and compared against standard risks to establish a set of relative risk factors. These incidence rates of standard and substandard risks are then compared. Results: Currently, an individual's cancer history is used in the underwriting process for simplified issue insurance. However, underwriting focusing on hospitalization and procedures related to serious illnesses could lower premiums for substandard risks. Moreover, the statistical results could be used to expand the coverage of health insurance products. Conclusions: This study's relative risk factors can be used to derive simplified issue premium rates for substandard risks. They can also be used to implement discount and loading schemes for medical reimbursement insurance and help insurance companies implement proactive risk management.

• Communications for Statistical Applications and Methods
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• v.15 no.3
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• pp.303-324
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• 2008

From mid-1890's, biometricians and Mendelians debated over Darwin's evolutionary theory. Biologist W. Weldon and Mathematician K. Pearson were leaders of the biometric school and biologist W. Bateson led Mendelian school. In this paper topics of the controversy such as causation vs. correlation, frequency distribution are considered. And in relation to the tradition of British statistics, we consider the philosophy of Karl Pearson revealed in this debate. Besides many statistical methods and concepts by Karl Pearson, the newly born mathematical statistics got a new journal Biometrika, a department in university, and a school of researchers from this controversy.

• The Mathematical Education
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• v.42 no.4
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• pp.453-463
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• 2003

The main purpose of this paper is to develope elementary mathematics teaching-learning programs for pre-service elementary teachers. The elementary mathematics education program developed in this work is divided into two parts: One is the theory, the other is the practice. The theory deals with the foundations of mathematics, the objectives of mathematics education, the history of mathematics education in Korea, the psychology of mathematics learning, the theories of mathematics teaching and learning, and the methods of assessment. With respect to the practice, this study examines the background knowledge and activities of numbers and their operation, geometry, measurement, statistics and probability, pattern and function.

• Journal for History of Mathematics
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• v.18 no.3
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• pp.67-78
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• 2005

In this paper we deals with Leibniz's definition of infinite and infinitely small quantities, infinite quantities and theory of quantified indivisibles in comparison with Galileo's concept of indivisibles. Leibniz developed 'method of indivisible' in order to introduce the integrability of continuous functions. also we deals with this demonstration, with Leibniz's rules of arithmetic of infinitely small and infinite quantities.

• Journal for History of Mathematics
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• v.30 no.2
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• pp.53-69
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• 2017

This paper demonstrates how a nineteenth century Japanese votive temple problem known as sangaku from Okayama prefecture can be solved using traditional mathematical methods of the Japanese Edo (1603-1868 CE). We compare a modern solution to a sangaku problem from Sacred Geometry: Japanese Temple Problems of Tony Rothman and Hidetoshi Fukagawa with a traditional solution of ${\bar{O}}hara$ Toshiaki (?-1828). Our investigation into the solution of ${\bar{O}}hara$ provides an example of traditional Edo period mathematics using the tenzan jutsu symbolic manipulation method, as well as producing new insights regarding the contextual nature of the rules of this technique.

• Journal for History of Mathematics
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• v.37 no.1
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• pp.1-17
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• 2024

In this study, we identified the intellectual triggers for Bayesian inference and what key ideas contributed to its occurrence and discussed the practical implications of introducing Bayesian inference into the school mathematics curriculum by reflecting them. The results of the study show that the need for statistical inference about the parameter itself served as a trigger for the occurrence of Bayesian inference, and the most important idea for the occurrence of that inference was to regard the parameter itself as a probability variable rather than any fixed value. On the other hand, these research results suggest that the meaning of introducing Bayesian inference into the secondary mathematics curriculum is 'statistics education that expands the scope of uncertainty'.

• Asian Pacific Journal of Cancer Prevention
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• v.17 no.8
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• pp.3763-3767
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• 2016

Background: Cervical cancer is the second most common cancer among females across the world. It is a preventable cancer and early detection is very feasible. This study aimed to identify which women characteristics are potentially associated with and may have an important in uence on the uptake of cervical cancer screening in Kurdish women living in the west of Iran.. Materials and Methods: A cross sectional study was conducted in late 2014. A random sample of women aged 40 years and above without history of cervical cancer and identi ed as Kurdish background were selected and interviewed by two trained interviewers. Information about sociodemographic and reproductive factors, history of diseases, and cervical screening was collected using a questionnaire and women who had undergone a hysterectomy were excluded. Univariate analyses were used to describe the general characteristics of the study population. Multivariable logistic regression models with self-reported screening history were used to estimate odds ratios (ORs) with 95% con dence intervals (CI). Signi cance was considered at the 5% level. Results: A total of 561 women were included in this study (mean age $43.6{\pm}5.17$ years) participation in cervical screening at least once was about 32%. Cervical screening uptake percentage was signi cantly lower among people over 60 years of age (adjusted OR= 0.26, 95% CI: 0.11-0.64), and those who were illiterate (OR= 0.41 95% CI: 0.23-0.73) and post-menopausal (OR= 0.56, 95% CI: 0.35-0.91). Women with ${\leq}1$ child were less likely to report a Pap test (adjusted OR=0.43 95%CI: 0.13-1.37) Cervical screening uptake was higher among women with health insurance (OR= 2.31, 95% CI: 1.50-3.56). Conclusions: Cervical screening participation in this study was low compared to other studies in developed countries. The screening uptake was different based on age, education, parity, insurance coverage and menopausal status. It is recommended to target these groups of women in cervical screening program.

• Journal for History of Mathematics
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• v.19 no.3
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• pp.113-122
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• 2006

We investigate the mathematical background, statistical methodology, and the teaching of computer-software field using smoothing methodology in this paper. Also we investigate conception and methodology of histogram, kernel density estimator, adaptive kernel estimator, bandwidth selection based on mathematics and statistics.

• Journal for History of Mathematics
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• v.20 no.3
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• pp.91-104
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• 2007

In this paper we study the method to estimate weights of the elementary mathematics achievement factors to get reference index which improves elementary mathematics teaching. For it, we discuss not only a synopsis of AHP but also write out pairwise comparison matrix through statistical survey and estimate weights by eigenvector method.