• Journal of the Korean Data and Information Science Society
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• v.17 no.4
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• pp.1343-1348
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• 2006

Parametric estimation of a truncated point in a right truncated Rayleigh distribution will be considered. The MLE, a bias reduced estimator and the ordinary jackknife estimator of the truncated point in the right truncated Rayleigh distribution will be compared by mean square errors. And proposed estimators of the reliability in the right truncated Rayleigh distribution will be compared by their mean squared errors.

• Journal of Arbitration Studies
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• v.31 no.4
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• pp.51-70
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• 2021

Chinese courts seem to be indifferent or ignorant of truncated arbitration. In other words, the Chinese court canceled the arbitration award made by truncated arbitration except for the Pingdingsan Case among the four arbitration cases related to the domestic arbitration award reviewed in this paper on the ground that it violated the composition of the arbitral tribunal or the arbitration procedure. A Chinese court has canceled the arbitration award by judging only based on the composition of the arbitral tribunal and the legal process of the violation of the arbitration procedure not by determining whether the domestic arbitration award made by the truncated arbitration meets the conditions for the application of truncated arbitration as stipulated in the Arbitration Rules. Moreover, it seems that the Chinese court made a serious error in the application of the relevant regulations in the Pingdingsan Case, which ruled that the truncated arbitration did not violate the legal process. In this case, the Chinese court admitted truncated arbitration under logic process that it was not necessary to wait until the final hearing to apply the truncated arbitraion because one arbitrator was absent before the final hearing, but the truncated arbitrator had already formed his/her opinion before the absence. However, in the case of Marshall Investment Corporation, a case related to foreign arbitration, the Chinese court rejected the approval and execution of the truncated arbitration award by strictly applying the laws and timing of the truncated arbitration. Since only one case has been identified in the main text, it is difficult to make a definitive judgment, but considering these cases, it seems to be that the Chinese courts apply different standards to domestic and foreign arbitration awards to determine the legality of truncated arbitration.

• Bulletin of the Korean Mathematical Society
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• v.56 no.1
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• pp.187-200
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• 2019

Truncated Hankel operators are compressions of classical Hankel operators to model spaces. In this paper we describe matrix representations of truncated Hankel operators on finite-dimensional model spaces. We then show that the obtained descriptions hold also for some infinite-dimensional cases.

• Journal for History of Mathematics
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• v.28 no.4
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• pp.167-179
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• 2015

We study the solution of truncated series of Lee Sang-hyeog with the aspect of visualization. Lee Sang-hyeog solved a problem of truncated series by 4 ways: Shen Kuo' series method, splitting method, difference sequence method, and Ban Chu Cha method. As the structure and solution of truncated series in tertiary number is already clarified with algebraic symbols in some previous research, we express and explain it by visual representation. The explanation and proof of algebraic symbols about truncated series is clear in mathematical aspects; however, it has a lot of difficulties in the aspects of understanding. In other words, it is more effective in the educational situations to provide algebraic symbols after the intuitive understanding of structure and solution of truncated series with visual representation.

• Journal of the Korean Data and Information Science Society
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• v.21 no.1
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• pp.195-200
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• 2010

In this paper, we consider estimators and a condence interval for a reliability in two independent right truncated Rayleigh distributions and consider the density of a ratio in two independent right truncated Rayleigh distributions. And we obtain the density of an estimator for a changing point in the density of a ratio in two independent right truncated Rayleigh distributions.

• Communications for Statistical Applications and Methods
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• v.14 no.3
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• pp.679-686
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• 2007

Moment expressions are derived for the internally truncated normal distributions commonly applied to screening and constrained problems. They are obtained from using a recursive relation between the moments of the normal distribution whose distribution is truncated in its internal part. Closed form formulae for the moments can be presented up to $N^{th}$ order under the internally truncated case. Necessary theories and two applications are provided.

• Journal of the Korean Statistical Society
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• v.31 no.3
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• pp.391-403
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• 2002

In this paper, some general results for obtaining recurrence relations between product moments of order statistics for doubly truncated distributions are established. These results are then applied to some specific doubly truncated distributions, viz. doubly truncated Weibull, Exponential, Pareto, power function, Cauchy, Lomax and Rayleigh.

• Communications for Statistical Applications and Methods
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• v.11 no.2
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• pp.265-274
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• 2004

The paper extends earlier work on the skew-normal distribution, a family of distributions including normal, but with extra parameter to regulate skewness. The present work introduces a singly truncated parametric family that strictly includes a truncated normal distribution, and studies its properties, with special emphasis on the relation with bivariate normal distribution.

• IE interfaces
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• v.16 no.spc
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• pp.65-69
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• 2003

Process capability has long been viewed as a critical performance measure to indicate how well a process meet the specifications and customer requirements. Several indices, including $C_p$ and $C_{pk}$, have been proposed and widely implemented to quantify the process capability. However, these indices have been obtained without regard to inspection or screening procedures through which finished products will be truncated at the specifications. Consequently, only a fraction of outgoing products within the specifications will be passed into the customers. From the customer's point of view, it will thus be meaningful to assess the process capability with truncated samples. This article investigates how to estimate the process capability when only incomplete truncated data are available. On the basis of parameter estimation for truncated samples, the proposed methodology may be helpful to evaluate the process capability by examining a sample of items from the lots submitted.

• International journal of advanced smart convergence
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• v.10 no.4
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• pp.215-224
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• 2021

The purpose of this study is to estimate the factors that affect college students' drinking needs and spending. An analysis model to estimate the determinants affecting drinking needs was applied with a truncated Poisson model and a truncated negative binomial model. Tests to select more appropriate models of the two types were made using the comparison of log-likelihood function and the over-dispersion test. The analysis result was interpreted by applying the truncated negative binomial model as the truncated Poisson model showed over-dispersion. We also applied the Tobit model to analyze the determinantsthat affect college students' expenditure on drinking. According to the analysis, gender, grade, allowance and parental occupation were the factors influencing statistics, and gender, type of household income, and student religion were the factors influencing expenditure.