• 대한수학회지
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• 제45권4호
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• pp.1101-1111
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• 2008

Under the condition of h-integrability and appropriate conditions on the array of weights, we establish complete convergence and strong law of large numbers for weighted sums of an array of dependent random variables.

• 대한수학회지
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• 제49권6호
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• pp.1097-1110
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• 2012

The convergence properties of extended negatively dependent sequences under some conditions of uniform integrability are studied. Some sufficient conditions of the weak law of large numbers, the $p$-mean convergence and the complete convergence for extended negatively dependent sequences are obtained, which extend and enrich the known results in the literature.

• 대한수학회논문집
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• 제10권1호
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• pp.57-65
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• 1995

Let R denote the set of real numbers, $R_+$ the non-negative real numbers and D and set of all distribution functions.(omitted)

• 호남수학학술지
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• 제34권2호
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• pp.209-217
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• 2012

Convergence rates in the law of large numbers for i.i.d. random variables have been generalized by Gut[Gut, A., 1978. Marc inkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices, Ann. Probab. 6, 469-482] to random fields with all indices having the same power in the normalization. In this paper we generalize these convergence rates to the identically distributed and negatively associated random fields with different indices having different power in the normalization.

• Journal of applied mathematics & informatics
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• 제37권5_6호
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• pp.459-467
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• 2019

In this work, via Orlicz functions, we have obtained a generalization of rough statistical convergence of asymptotically equivalent triple sequences a new non-matrix convergence method, which is intermediate between the ordinary convergence and the rough statistical convergence. We also have examined some inclusion relations related to this concept. We obtain the results are non negative real numbers with respect to the partial order on the set of real numbers.

• 한국수학사학회지
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• 제18권3호
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• pp.91-106
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• 2005

수학사는 수학 교육에서 수학의 실제와 수학을 하는 사고 과정을 강조하기 위해 분석의 대상이 되어야 한다. 수학사를 분석하는 것은 수학적 활동을 이해하는 방법 가운데 하나로, 역사적으로 수학자들의 활동이 어떻게 변하면서 발전되어 왔는지, 그리고 수학적 개념들이 어떻게 전개되어 왔는지를 살펴보기 위한 것으로, 이러한 내용은 수학 교육적 관점에서 중요하게 다루어져야 한다. 본 연구는 이러한 관점에서 학교대수에서 다루는 문자 기호(미지수)와 음수를 중심으로 하여 수학사에서 등 장한 몇몇 텍스트를 분석하고 동시에 교육적인 논의를 이끌어내고자 한다. 이를 위해 먼저 수학교육에서 역사-발생적 분석의 필요성과 그 의의에 대해 살펴보고, 이러한 분석에서 제기되는 인식론적 장애에 대해 논의한다. 다음으로 역사-발생적 분석을 실제 대수 지도에 적용해보기 위해, 방정식에서 사용된 문자 기호(미지수)의 역사를 몇몇 텍스트를 통해 살펴보고 이를 선행된 실험연구의 결과와 함께 논의한다. 또한 음수의 역사를 개괄하면서 역시 몇몇 텍스트를 살펴보고, 음수의 역사를 대수 지도와 관련해서 논의한다. 수학사는 인류의 대역적인 학습 과정으로 학교수학에서 다루는 개념들에 의미 있는 토대를 마련해준다. 본 연구의 논의는 이러한 측면에 주목한 것으로 역사-발생적 분석을 대수 지도를 개선하기 위한 방안 가운데 하나로 본 것이다.

• Asian Pacific Journal of Cancer Prevention
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• 제14권12호
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• pp.7681-7684
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• 2013

Background: Human leukocyte antigen (HLA)-G-positive gastric cancers are associated with poor survival, but links with tumor escape mechanisms remain to be determined. Materials and Methods: We used immunohistochemistry to investigate HLA-G expression, tumor infiltrating CD8+ T lymphocytes, and Treg cells in 52 gastric cancer patients. Results: There were 29 cancer-related deaths during the follow-up period. Kaplan-Meier analysis indicated that patients with HLA-G-positive (n=16) primary tumors had a significantly poorer prognosis than patients with HLA-G-negative tumors (n=36, p=0.008). The median survival time was 14 months and 47 months, respectively. Patients with high numbers of Tregs and low numbers of CD8+T lymphocytes in the primary tumor had a poorer prognosis than those with low numbers of Tregs and high numbers of CD8+T lymphocytes (p=0.034, p=0.043). Multivariate Cox proportional hazard regression analysis showed that HLA-G expression (hazard ratio: 2.662; 95% confidence interval: 1.242-5.723; p=0.012) and stage (hazard ratio: 2.012;95% confidence interval: 1.112-3.715; p=0.041) were independent unfavorable factors for patient survival. Conclusions: We found a significant positive correlation between HLA-G expression and the number of tumor infiltrating Tregs (p=0.01) and a negative correlation with the number of CD8+T lymphocytes (p=0.041). HLA-G may protect gastric cancer cells from cytolysis by inducing Foxp3+Treg lymphocytes and suppressing CD8+T lymphocytes.

• Journal of Information Processing Systems
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• 제13권3호
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• pp.573-589
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• 2017

Cloud computing is an attractive solution that can provide low cost storage and powerful processing capabilities for government agencies or enterprises of small and medium size. Yet the confidentiality of information should be considered by any organization migrating to cloud, which makes the research on relational database system based on encryption schemes to preserve the integrity and confidentiality of data in cloud be an interesting subject. So far there have been various solutions for realizing SQL queries on encrypted data in cloud without decryption in advance, where generally homomorphic encryption algorithm is applied to support queries with aggregate functions or numerical computation. But the existing homomorphic encryption algorithms cannot encrypt floating-point numbers. So in this paper, we present a mechanism to enable the trusted party to encrypt the floating-points by homomorphic encryption algorithm and partial trusty server to perform summation on their ciphertexts without revealing the data itself. In the first step, we encode floating-point numbers to hide the decimal points and the positive or negative signs. Then, the codes of floating-point numbers are encrypted by homomorphic encryption algorithm and stored as sequences in cloud. Finally, we use the data structure of DoubleListTree to implement the aggregate function of SUM and later do some extra processes to accomplish the summation.

• The Journal of Asian Finance, Economics and Business
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• 제7권9호
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• pp.293-304
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• 2020

The study reveals the extent of changes in selective financial numbers caused by fixed asset revaluation (FAR) and explores whether there was a management motive for playing the financial numbers game through using the FAR model. The data set consists of a sample of 142 listed companies purposively selected from 13 industries. The study found a significant impact of FAR on the net asset value (NAV), fixed asset intensity (FAI), and debt-to-equity ratio (DER). These findings are supported by the political cost and the debt covenant hypotheses. The study also observed a high growth of fixed assets by 9.5% to 14,603.8% resulting from FAR. More revealing is that FAR increased NAV in revaluer companies by an average of 427.20% as compared to 6.86% in non-revaluer companies. Even some companies with negative NAV took resort on FAR to show positive NAV. Besides, revaluer companies managed to reduce their DER by 70.45% as opposed to an increase of 8.45% in non-revaluer companies. Hence, the study concludes that most of the publicly-listed companies are involved in financial numbers game by the use of the FAR model. To build confidence among investors, companies should practice FAR rightly and disclose related information to help reduce information asymmetry.

• Journal of applied mathematics & informatics
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• 제27권3_4호
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• pp.885-893
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• 2009

In this paper we study the strong law of large numbers for weighted average of pairwise negatively quadrant dependent random variables. This result extends that of Jamison et al.(Convergence of weight averages of independent random variables Z. Wahrsch. Verw Gebiete(1965) 4 40-44) to the negative quadrant dependence.