• 제목/요약/키워드: Statistical Continuity

검색결과 86건 처리시간 0.031초

ON STATISTICAL APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-SCHURER OPERATORS

  • Ren, Mei-Ying;Zeng, Xiao-Ming
    • 대한수학회보
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    • 제50권4호
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    • pp.1145-1156
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    • 2013
  • In this paper, a kind of modified $q$-Bernstein-Schurer operators is introduced. The Korovkin type statistical approximation property of these operators is investigated. Then the rates of statistical convergence of these operators are also studied by means of modulus of continuity and the help of functions of the Lipschitz class. Furthermore, a Voronovskaja type result for these operators is given.

On The Dichotomy of Stationary and Ergodic Probability Measures

  • Park, Jeong-Soo
    • Journal of the Korean Statistical Society
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    • 제22권2호
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    • pp.347-351
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    • 1993
  • The dichotomy of absolute continuity and singularity for a pair of stationary and ergodic measures (one of which need not be ergodic) is obtained using the ergodic decomposition theorem. The known fact that two different stationary and ergodic measures are mutually singular is obtained as a corollary of our result. An example of a pair of stationary-ergodic measures enjoying the dichotomy is presented.

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A KOROVKIN TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES OF POSITIVE LINEAR OPERATORS OF TWO VARIABLES IN A-STATISTICAL SENSE

  • Demirci, Kamil;Dirik, Fadime
    • 대한수학회보
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    • 제47권4호
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    • pp.825-837
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    • 2010
  • In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from $H_w$ (K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.

The Eccentric Properties of the Chi-Squared Test with Yates' Continuity Correction in Extremely Unbalanced 2×2 Contingency Table

  • Kang, Seung-Ho;Kwon, Tae-Hyuk
    • 응용통계연구
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    • 제23권4호
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    • pp.777-781
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    • 2010
  • Yates' continuity correction of the chi-squared test for testing the homogeneity of two binomial proportions in $2{\times}2$ contingency tables is developed to lower the value of the test statistic slightly. The effect of continuity correction is expected to decrease as the sample size increases. However, in extremely unbalanced $2{\times}2$ contingency tables, we find some cases where the effect of continuity correction is eccentric and is larger than expected. In such cases, we conclude that the chi-squared test with continuity correction should not be employed as a test statistic in both asymptotic tests and exact tests.

Statistical Approximation of Szász Type Operators Based on Charlier Polynomials

  • Kajla, Arun
    • Kyungpook Mathematical Journal
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    • 제59권4호
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    • pp.679-688
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    • 2019
  • In the present note, we study some approximation properties of the Szász type operators based on Charlier polynomials introduced by S. Varma and F. Taşdelen (Math. Comput. Modelling, 56 (5-6) (2012) 108-112). We establish the rates of A-statistical convergence of these operators. Finally, we prove a Voronovskaja type approximation theorem and local approximation theorem via the concept of A-statistical convergence.

CERTAIN ASPECTS OF ${\mathcal{I}}$-LACUNARY ARITHMETIC STATISTICAL CONVERGENCE

  • MEHMET GURDAL
    • Journal of Applied and Pure Mathematics
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    • 제5권3_4호
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    • pp.265-279
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    • 2023
  • In this paper, we firstly presented the definitions of arithmetic ${\mathcal{I}}$-statistically convergence, ${\mathcal{I}}$-lacunary arithmetic statistically convergence, strongly ${\mathcal{I}}$-lacunary arithmetic convergence, ${\mathcal{I}}$-Cesàro arithmetic summable and strongly ${\mathcal{I}}$-Cesàro arithmetic summable using weighted density via Orlicz function ${\tilde{\phi}}$. Then, we proved some theorems associated with these concepts, and we examined the relationship between them. Finally, we establish some sequential properties of ${\mathcal{I}}$-lacunary arithmetic statistical continuity.

Associations Between the Continuity of Ambulatory Care of Adult Diabetes Patients in Korea and the Incidence of Macrovascular Complications

  • Gong, Young-Hoon;Yoon, Seok-Jun;Seo, Hyeyoung;Kim, Dongwoo
    • Journal of Preventive Medicine and Public Health
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    • 제48권4호
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    • pp.188-194
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    • 2015
  • Objectives: The goal of this study was to identify association between the continuity of ambulatory care of diabetes patients in South Korea (hereafter Korea) and the incidence of macrovascular complications of diabetes, using claims data compiled by the National Health Insurance Services of Korea. Methods: This study was conducted retrospectively. The subjects of the study were 43 002 patients diagnosed with diabetes in 2007, who were over 30 years of age, and had insurance claim data from 2008. The macrovascular complications of diabetes mellitus were limited to ischemic heart disease and ischemic stroke. We compared the characteristics of the patients in whom macrovascular complications occurred from 2009 to 2012 to the characteristics of the patients who had no such complications. Multiple logistic regression was used to assess the effects of continuity of ambulatory care on diabetic macrovascular complications. The continuity of ambulatory diabetes care was estimated by metrics such as the medication possession ratio, the quarterly continuity of care and the number of clinics that were visited. Results: Patients with macrovascular complications showed statistically significant differences regarding sex, age, comorbidities, hypertension, dyslipidemia and continuity of ambulatory diabetes care. Visiting a lower number of clinics reduced the odds ratio for macrovascular complications of diabetes. A medication possession ratio below 80% was associated with an increased odds ratio for macrovascular complications, but this result was of borderline statistical significance. Conclusions: Diabetes care by regular health care providers was found to be associated with a lower occurrence of diabetic macrovascular complications. This result has policy implications for the Korean health care system, in which the delivery system does not work properly.

전기공사비지수의 산정방식 변경에 따른 통계연속성 실증분석 연구 (A Study on the Statistical Continuity of Electrical Construction Cost Index Applied Chain Method)

  • 박홍희
    • 한국건설관리학회논문집
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    • 제16권2호
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    • pp.46-53
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    • 2015
  • 한국은행은 2013년 생산자물가지수의 기준연도를 2005년에서 2010년으로 개편하고 기존 고정방식에서 연쇄방식으로 새로운 방식을 적용하였다. 전기공사비지수도 재료분야에서 생산자물가지수를 사용하고 있고, 과거 고정방식 적용으로 현실괴리, 스텝현상 등에 대한 문제점이 지속적으로 제기되어 왔기 때문에, 이에 대한 보완 및 개선방안으로 과거 고정방식에서 현재 연쇄방식으로 변경하였다. 그러나 이러한 편제방식 변경은 가중치 등을 변경시키는 바, 이에 대한 통계적 연속성의 검토가 필요하였다. 따라서 본 연구는 시계열 분석기법을 이용하여 고정방식과 연쇄방식 전기공사비지수의 시계열 특성, 통계특성의 동일성, 양 방식의 대체가능성의 통계연속성 검증을 실시하였다. 그 결과에 의하면, 기존 고정방식에서 현재 연쇄방식을 전기공사비지수에 적용하여도 통계적 연속성이 유지되는 것을 확인할 수 있었다. 따라서 실제 전기공사업 종사자, 전기공사비지수 활용자 등에게 연속적인 시계열 자료로서 인식될 수 있을 것으로 사료된다.

백화점의 로열티 프로그램이 소비자의 관계품질 및 관계지속의도에 미치는 영향 (The Effects of Department Store Loyalty Programs on Consumer Relationship Quality and Relationship Continuity Intention)

  • 홍병숙;이은진;박성희;유승희
    • 한국의류학회지
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    • 제34권10호
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    • pp.1621-1631
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    • 2010
  • This study analyzes the effects of department store loyalty programs on consumer relationship quality and the effects of consumer relationship quality on relationship continuity intention in department stores. The survey was conducted on women consumer patrons of department stores in October 2009; 381 responses were used in the data analysis. The statistical analysis methods were frequency analysis, factor analysis, reliability analysis, and multiple regression analysis. As a result, the loyalty programs of department stores were classified by the conformity, shared values, benefit of use, psychological availability, and convenience. The relationship quality of consumers was classified by trust and satisfaction, and the relationship continuity intention of consumers was classified by the continual use intention and word of mouth intention in department stores. The conformity, psychological availability, and convenience of loyalty program influenced the trust of consumers; in addition, the psychological availability influenced the satisfaction of consumers in department stores. The trust and satisfaction of consumers influenced the continual use intention and the satisfaction of consumers influenced the word of mouth intention in department stores.

어린이와 청소년 환자에서 일차의료의 지속성과 입원 위험도의 관련성 (Association of Higher Continuity of Primary Care with Lower Risk of Hospitalization among Children and Adolescent Patients)

  • 최용준;강성현;김용익
    • 보건행정학회지
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    • 제18권1호
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    • pp.85-107
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    • 2008
  • This study aims to describe levels and distribution of the continuity of primary care among children and adolescent patients who are 2-19 years old, and analyze the effects of it on the risk of hospitalization. Study population was 2-19 year old child and adolescent patients as of 2002, who had more than three ambulatory care visits in the years of 2002-3 and whose most frequent provider was the primary care practices (189,660 persons). Association of levels of primary care with the risk of hospitalization was evaluated using multiple event survival analysis. Outcome variables were whether the patient had hospitalized or not, and whether the patient had hospitalized due to ambulatory care-sensitive conditions or not. Multiple event survival analysis revealed statistically significant association of the levels of primary care with the risk of hospitalization. Hazard ratio was 1.34 [1.27-1.41] at the medium level of continuity and 1.47 [1.39-1.55] at the lower level where outcome variable was whether the patient had been hospitalized or not. Hazard ratios were 1.35 [1.21-1.50] at the medium level of continuity and 1.60 [1.44-1.78] at the lower level, where outcome variable was whether the patient been had hospitalized due to ambulatory care-sensitive conditions or not. This study produced some evidences on the benefits of continuity of care, which will in turn support the introduction of personal doctor registration program in the future.