• Journal of the Korean Mathematical Society
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• v.54 no.3
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• pp.877-896
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• 2017

In this paper, the complete convergence and complete moment convergence for a class of random variables satisfying the Rosenthal type inequality are investigated. The sufficient and necessary conditions for the complete convergence and complete moment convergence are provided. As applications, the Baum-Katz type result and the Marcinkiewicz-Zygmund type strong law of large numbers for a class of random variables satisfying the Rosenthal type inequality are established. The results obtained in the paper extend the corresponding ones for some dependent random variables.

• Bulletin of the Korean Mathematical Society
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• v.38 no.4
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• pp.763-772
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• 2001

The rate of convergence for an almost surely convergent series $S_n={\Sigma^n}_{i-1}X_i$ of independent random variables is studied in this paper. More specifically, when S$_{n}$ converges almost surely to a random variable S, the tail series $T_n{\equiv}$ S - S_{n-1} = {\Sigma^\infty}_{i-n} X_i$ is a well-defined sequence of random variables with T$_{n}$ $\rightarrow$ 0 almost surely. Conditions are provided so that for a given positive sequence {$b_n, n {\geq$ 1}, the limit law sup$_{\kappa}\geqn | T_{\kappa}|/b_n \rightarrow$ 0 holds. This result generalizes a result of Nam and Rosalsky [4].

• Journal of the Korean Statistical Society
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• v.24 no.1
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• pp.91-109
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• 1995

The rate of convergence to a random variable S for an almost certainly convergent series $S_n = \sum^n_{j=1} X_j$ of independent random variables is studied in this paper. More specifically, when $S_n$ converges to S almost certainly, the tail series $T_n = \sum^{\infty}_{j=n} X_j$ is a well-defined sequence of random variable with $T_n \to 0$ a.c. Various sets of conditions are provided so that for a given numerical sequence $0 < b_n = o(1)$, the tail series strong law of large numbers $b^{-1}_n T_n \to 0$ a.c. holds. Moreover, these results are specialized to the case of the weighted i.i.d. random varialbes. Finally, example are provided and an open problem is posed.

• Proceedings of the Korean Statistical Society Conference
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• 2002.05a
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• pp.49-54
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• 2002

For arbitrary random variables {$X_{n},n{\geq}1$}, the order of growth of the series. $S_{n}\;=\;{\sum}_{j=1}^n\;X_{j}$ is studied in this paper. More specifically, when the series S_{n}$ diverges almost surely, the strong law of large numbers $S_{n}/g_{n}^{-1}$($A_{n}{\psi}(A_{n}))\;{\rightarrow}\;0$ a.s. is constructed by extending the results of Petrov (1973). On the other hand, if the series $S_{n}$ converges almost surely to a random variable S, then the tail series $T_{n}\;=\;S\;-\;S_{n-1}\;=\;{\sum}_{j=n}^{\infty}\;X_{j}$ is a well-defined sequence of random variables and converges to 0 almost surely. For the almost surely convergent series $S_{n}$, a tail series strong law of large numbers $T_{n}/g_{n}^{-1}(B_{n}{\psi}^{\ast}(B_{n}^{-1}))\;{\rightarrow}\;0$ a.s., which generalizes the result of Klesov (1984), is also established by investigating the duality between the limiting behavior of partial sums and that of tail series. In particular, an example is provided showing that the current work can prevail despite the fact that previous tail series strong law of large numbers does not work.

• Journal of the Korea society of information convergence
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• v.5 no.2
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• pp.37-47
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• 2012

I generalized and analyzed the Supreme Court's judgements sentenced form Cho Sun High Court of Jus-tice to the present. Morever I tried to establish the system of a theory for surface rights from the viewpoint of the conventional law and present the direction in law-making political side. 1. The legal surface rights from the viewpoint of the conventional law have not been admited by the usage. Therefore I studied in detail its history, examples of foreign law-making, recognition authority and application object.

• Journal of the Korean Institute of Telematics and Electronics S
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• v.34S no.7
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• pp.56-65
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• 1997

In this paper, we propose a reference input odification-type iterative learning control law for a class of discrete-time nonlinear systems and prove the convergence of the output error. We can get the high-precision in case of the trajectroy control when the proposed control law is properly combined with a feedback controller, and we can easily implement the learning control law compared to the control input modification-type learning control law. To show the validity and the convergence perfodrmance of the proposed control law, we perform experimentations on the trajectroy control and rejection of periodic disturbance for a 2-axis SCARA-type direct drive robot.

• 제어로봇시스템학회:학술대회논문집
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• 1988.10b
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• pp.746-748
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• 1988

A way of improving the transient performance is suggested for a class of model reference adaptive control systems. To increase the convergence rate of a model following error, an error feedback term is incorporated into the control law.

• The Korean Society of Law and Medicine
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• v.20 no.3
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• pp.47-79
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• 2019

The Korean Society of Law and Medicine has faithfully played the role of professional academic organizations last 20 years in terms of academic activities, accumulated achievements, diversity, professionalism, and influence on academic circles. The Korean Society of Law and Medicine and the Journal of Medical Law serve as a platform for academic information and exchange of opinions on medical law. Medical law began in the midst of increasing conflicts and disputes caused by medical malpractice and the enactment and legal coercion of medical care as pressure on medical workers. It tried to find a way to coexist with each other through the encounter and convergence of medicine and law. Medical criminal law extends from traditional crimes in the realm of life and body protection to bioethics violations caused by the development of biomedical technology, corruption and economic crime in the medical field. Medical law has evolved into a comprehensive legal area dealing with legal issues raised in medical treatment, healthcare, bioethics, and life sciences technology. On the legal side, medical law is not independent legal areas. It is overlapping with traditional law areas such as civil law, administrative law, criminal law, social law, civil and criminal procedure law. However, it is now established as a convergence study in medicine, bioethics, life science, as well as in various fields of law. It has become an area where collaboration is needed with the field of law, medicine, ethics, sociology and economics. Medical criminal law has undergone a dynamic development over the last two decades. The development of medicine and medical technology provides new and innovative methods of diagnosis and treatment. The achievements and risks of revolutionary developments in biotechnology, genetic engineering and medicine coexist. While there is a dazzling achievement that mankind has hoped for: combating disease and improving health, it also creates unwanted side effects and risks to humans. There is a need to reconsider ethical and legal principles. The discovery and development of patient identity and autonomy has changed the medical doctor-patient relationship. Furthermore, it was complicated by the triangle relationship of patients, medical doctors and insurance. Legal matters are also complicated. This is why the necessity of legislation is emerging. Criminal punishment provisions are also required. The Medical Law and Biomedical Law are systematically and coherently deformed as mosaic-based legislation that takes place whenever there are social issues, citizens' needs, and medical organizations' interests, rather than sufficient enactment and revision procedures. It needs a complete overhaul, and this is possible through interdisciplinary collaboration which is the strength of The Korean Society of Law and Medicine.

• Honam Mathematical Journal
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• v.36 no.1
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• pp.33-41
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• 2014

Ko(2013, JIA 2013:473) discussed complete convergence for weighted sum of martingale difference field when all indices have the same powers in the normalization. In this paper we generalize this law to the case where different indices have different powers in the normalization.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.1
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• pp.137-145
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• 2013

In this paper we obtain the complete convergence of weighted sums of asymptotically almost negatively associated random variables. Some previous known results for negatively associated random variables are generalized to asymptotically almost negative association case.