• Title/Summary/Keyword: Type 1 Error

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Estimation for the Half-Logistic Distribution Based on Multiply Type-II Censored Samples

  • Kang, Suk-Bok;Park, Young-Kou
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.1
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    • pp.145-156
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    • 2005
  • In this paper, we derive the approximate maximum likelihood estimators (AMLEs) of the scale parameter of the half-logistic distribution based on multiply Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error (MSE) for various censored samples.

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ROBUST NUMERICAL METHOD FOR SINGULARLY PERTURBED TURNING POINT PROBLEMS WITH ROBIN TYPE BOUNDARY CONDITIONS

  • GEETHA, N.;TAMILSELVAN, A.
    • Journal of applied mathematics & informatics
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    • v.37 no.3_4
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    • pp.183-200
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    • 2019
  • We have constructed a robust numerical method on Shishkin mesh for a class of convection diffusion type turning point problems with Robin type boundary conditions. Supremum norm is used to derive error estimates which is of order O($N^{-1}$ ln N). Theoretical results are verified by providing numerical examples.

An Analysis on the Error According to Academic Achievement Level in the Fractional Computation Error of Elementary Sixth Graders (초등학교 6학년 학생이 분수 계산문제에서 보이는 오류의 학업성취수준별 분석)

  • Park, Miyeon;Park, Younghee
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.1
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    • pp.23-47
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    • 2017
  • The purpose of this study is to analyze the types of errors that may occur in the four arithmetic operations of the fractions after classified according to the level of academic achievement for sixth-grade elementary school student who Learning of the four arithmetic operations of the fountain has been completed. The study was proceed to get the information how change teaching content and method in accordance with the level of academic achievement by looking at the types of errors that can occur in the four arithmetic operations of the fractions. The test paper for checking the type of errors caused by calculation of fractional was developed and gave it to students to test. And we saw the result by error rate and correct rate of fraction that is displayed in accordance with the level of academic achievement. We investigated the characteristics of the type of error in the calculation of the arithmetic operations of fractional that is displayed in accordance with the level of academic achievement. First, in the addition of the fractions, all levels of students showing the highest error rate in the calculation error. Specially, error rate in the calculation of different denominator was higher than the error rate in the calculation of same denominator Second, in the subtraction of the fractions, the high level of students have the highest rate in the calculation error and middle and low level of students have the highest rate in the conceptual error. Third, in the multiplication of the fractions, the high and middle level of students have the highest rate in the calculation error and low level of students have the highest rate in the a reciprocal error. Fourth, in the division of the fractions, all levels of students have the highest r rate in the calculation error.

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Digital Conversion Error Analysis in a Time-to-Digital Converter (시간-디지털 변환기에서 디지털 변환 에러 분석)

  • Choi, Jin-Ho;Lim, In-Tack
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2017.10a
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    • pp.520-521
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    • 2017
  • The converted error is occurred by the time difference between the time interval signal and the clock in a Time-to-Digital Converter of counter-type. If the clock period is $T_{CLOCK}$ the converted error is a maximum $T_{CLOCK}$ by the time difference between the start signal and the clock. And the converted error is a maximum $-T_{CLOCK}$ by the time difference between the stop signal and the clock. However, when the clock is synchronized with the start signal and the colck is generated during the time interval signal the range of converted digital error is from 0 to $(1/2)T_{CLOCK}$.

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An Experimental Evaluation on Human Error Hazards of Task using Digital Device (디지털 기기 기반 직무 수행 시 인적오류위험성에 대한 실험적 평가)

  • Oh, Yeon Ju;Jang, Tong Il;Lee, Yong Hee
    • Journal of the Korean Society of Safety
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    • v.29 no.1
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    • pp.47-53
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    • 2014
  • The application of advanced Main Control Room(MCR) is accompanied with lots of changes and different forms and features through the virtue of new digital technologies. The characteristics of these digital technologies and devices give many opportunities to the interface management, and can be integrated into a compact single workstation in advanced MCR so that workers can operate the plant with minimum physical burden under any operation conditions. However, these devices may introduce new types of human errors and thus a means to evaluate and prevent such errors is needed, especially those related to characteristics of digital devices. This paper reviewed the new type of human error hazards of tasks based on digital devices and surveyed researches on physiological assessment related to human error. An experiment was performed to verify human error hazards by physiological responses such as EEG which was measured to evaluate the cognitive workload of operators. And also, the performances of four tasks which are representative in human error hazard tasks based on digital devices were compared. Response time, ${\beta}$ power spectrum rate of each task by EEG, and mental workload by NASA-TLX were evaluated. In the results of the experiment, the rate of the ${\beta}$ power was increased in the task 1 and task 4 which are searching and navigating task and memory task of hierarchical information, respectively. In case of the mental workload, in most of evaluation items, task 1 and 4 were highly rated comparatively. In this paper, human error hazards might be identified by highly cognitive workload. Conclusively, it was concluded that the predictive method which is utilized in this paper and an experimental verification can be used to ensure the safety when applying the digital devices in Nuclear Power Plants (NPPs).

ERROR BOUNDS FOR GAUSS-RADAU AND GAUSS-LOBATTO RULES OF ANALYTIC FUNCTIONS

  • Ko, Kwan-Pyo
    • Communications of the Korean Mathematical Society
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    • v.12 no.3
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    • pp.797-812
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    • 1997
  • For analytic functions we give an expression for the kernel $K_n$ of the remainder terms for the Gauss-Radau and the Gauss-Lobatto rules with end points of multiplicity r and prove the convergence of the kernel we obtained. The error bound are obtained for the type $$\mid$R_n(f)$\mid$ \leq \frac{1}{\pi}l(\Gamma) max_{z \in \Gamma} $\mid$K_n(z)$\mid$ max_{z \in \Gamma} $\mid$f(z)$\mid$$, where $l(\Gamma)$ denotes the length of contour $\Gamma$.

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APPROXIMATION BY FUZZY B-SPLINE SERIES

  • BLAGA PETRU;BEDE BARNABAS
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.157-169
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    • 2006
  • We study properties concerning approximation of fuzzy-number-valued functions by fuzzy B-spline series. Error bounds in approximation by fuzzy B-spine series are obtained in terms of the modulus of continuity. Particularly simple error bounds are obtained for fuzzy splines of Schoenberg type. We compare fuzzy B-spline series with existing fuzzy concepts of splines.

Phase Error Variation of Timming Recovery Circuit in Optical Communication (광통신에서 타이밍 복원 회로의 위성 오차 변화)

  • 류흥균;안수길
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.3
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    • pp.238-242
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    • 1988
  • It is analyzed how performance of phase-locked loop driven by photodetector current in optical receiver will be changed under the condition that Gaussian thermal noise, pattern noise and shot noise are present and the loop has the nonzero detuning frequency. The phase error variance cahnges with the circuit configuration and the produced noise models. The analyzed results are applied to the previously implemented 90.194Mbps optic system whose loop filter is the improved active noninverting 1-st order lag-lead type.

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An Error Motion Analysis of Rotary Stage Driven By PZT (PZT로 구동되는 회전 스테이지의 오차 운동 분석)

  • Kim, Jin-Ho;Shin, Dong-Ik;Yun, Deok-Won;Han, Chang-Soo;Lee, Sang-Moo;Nam, Kyung-Tae
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.1
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    • pp.132-136
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    • 2008
  • Axis of rotation error on rotary system are significant; such as the spindle radial error motion of a aligner, wire bonder and inspector machine which results in the poor state of manufactured goods. In this paper, the simple stage which consists of one PZT actuator and rotary encoder, is analyzed and measured by high resolution capacitance type displacement sensor. As the result of experiment, the paper discusses several issues that must be considered when designing rotary stage driven by PZT.

Developement of Measuring Units of circular Motion Accuracy on NC Lathe (NC선반의 원 운동정도 측정장치의 개발)

  • 김영석;김재열
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.6
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    • pp.1-7
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    • 2001
  • It is very important to test circular motion accuracy of NC machine tools as it affects all other machines machined by them in industries. In this paper, it has become possible to detect errors of linear displacement of radial directions for circle tar motion accuracy test using newly assembled magnetic type of linear scale so called Magnescale ball-bar system. It has also organized computer program systems using tick pulses come out from computer for getting error motion data at colt start time interval in circular motion test on NC lathe. Error data gotten from test is expressed to plots and analysed to numerics by various statistical treatments.

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