• Title/Summary/Keyword: Statistical Continuity

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

  • Ren, Mei-Ying;Zeng, Xiao-Ming
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.4
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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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    • v.22 no.2
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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
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.4
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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
    • The Korean Journal of Applied Statistics
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    • v.23 no.4
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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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    • v.59 no.4
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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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    • v.5 no.3_4
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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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    • v.48 no.4
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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.

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

  • Park, Houng-Hee
    • Korean Journal of Construction Engineering and Management
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    • v.16 no.2
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    • pp.46-53
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    • 2015
  • Electrical construction cost index is composed of the cost of albor and material. The producer price index is used to the cost of material. The Bank of Korea restructured the formation method and the basic period of the producer price index in 2013. Because fixed-weighted method can't faithfully reflect industrial structure changes. The weighted value and price index of fixed-weighted method is fixed on the basicp eriod. Electrical construction cost index is changed from fixed-weighted method to chain-weighted method in september 2014, because of these on the need. But the change of organization in formation method changes the weighted value. So there is the need of analysis about the statistical continuity of electrical construction cost index. This study is focused on the time series analysis between fixed-weighted and chain-weighted electrical construction cost index. We uses unit root test, cointegration test, regression analysis of long and short term equation, fitness for the estimation of static forecast as time series analysis. We verify that chain-weighted electrical construction cost index can be replaced to fixed-weighted construction cost index accounting analyses result. So users of it recognize that chain-weighted electrical construction cost index has statistical continuity.

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

  • Hong, Byung-Sook;Lee, Eun-Jin;Park, Sung-Hee;Yoo, Seung-Hee
    • Journal of the Korean Society of Clothing and Textiles
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    • v.34 no.10
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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.

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

  • Choi, Yong-Jun;Kang, Sung-Hyun;Kim, Yong-Ik
    • Health Policy and Management
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    • v.18 no.1
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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.