• Title/Summary/Keyword: Order Statistics

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Hierarchical Bayes Estimators of Exchangeable Poisson Mean using Laplace Approximation

  • Chung, Youn-Shik
    • Communications for Statistical Applications and Methods
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    • v.2 no.1
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    • pp.137-144
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    • 1995
  • Hierarchical Bayes estimations of exchangeable mean vector of a multivariate Poisson distribution are obtained. Since sophiscated analytic integration procedures are needed, the Laplace method is employed in order tocompute these estimations approximately. An example is presented.

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On Fitting Polynomial Measurement Error Models with Vector Predictor -When Interactions Exist among Predictors-

  • Myung-Sang Moon
    • Communications for Statistical Applications and Methods
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    • v.2 no.1
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    • pp.1-12
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    • 1995
  • An estimator of coefficients of polynomial measurement error model with vector predictor and first-order interaction terms is derived using Hermite polynomial. Asymptotic normality of estimator is provided and some simulation study is performed to compare the small sample properties of derived estimator with those of OLS estimator.

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A Note on Support Vector Density Estimation with Wavelets

  • Lee, Sung-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.411-418
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    • 2005
  • We review support vector and wavelet density estimation. The relationship between support vector and wavelet density estimation in reproducing kernel Hilbert space (RKHS) is investigated in order to use wavelets as a variety of support vector kernels in support vector density estimation.

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Test of Homogeneity for a Panel of Seasonal Autoregressive Processes

  • Lee, Sung-Duck
    • Journal of the Korean Statistical Society
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    • v.22 no.1
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    • pp.125-132
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    • 1993
  • Large sample test of homogeneity for a panel of more than two seasonal autoregressive processes is derived and its limiting distribution is found. Detailed results are shown for the important special case that the seasonal and nonseasonal autoregressive components are both of order one.

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ALMOST PERIODIC SOLUTIONS OF PERIODIC SECOND ORDER LINEAR EVOLUTION EQUATIONS

  • Nguyen, Huu Tri;Bui, Xuan Dieu;Vu, Trong Luong;Nguyen, Van Minh
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.223-240
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    • 2020
  • The paper is concerned with periodic linear evolution equations of the form x"(t) = A(t)x(t)+f(t), where A(t) is a family of (unbounded) linear operators in a Banach space X, strongly and periodically depending on t, f is an almost (or asymptotic) almost periodic function. We study conditions for this equation to have almost periodic solutions on ℝ as well as to have asymptotic almost periodic solutions on ℝ+. We convert the second order equation under consideration into a first order equation to use the spectral theory of functions as well as recent methods of study. We obtain new conditions that are stated in terms of the spectrum of the monodromy operator associated with the first order equation and the frequencies of the forcing term f.

Asymmetric distribution of PAM signals and blind equalization algorithm using 3rd order statistics (비대칭 분포의 PAM 신호와 3차 통계에 의한 자력 등화 기법)

  • 정교일;임제택
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.7
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    • pp.65-75
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    • 1996
  • The probability distributio function (pdf) of transmitted symbols should be asymmectric for recovering the received data in the 3rd order blind equalizer system. In this paper, we hav edesigned the blind equalizer using symmetric-asymmetric (SA) and asymmetric-symmetric (AS) transforms for less computational complexities and robustness in the noisy environments. The method of SA and AS transform was peformed using natural logarithmic operation. This paper proves that the proposed in this paper can be performed as real time operation. This paper proves that the compression factor k has no effet on transmitted symbols. Also 3rd order equalization method proposed in this paper can be performed as real time operation. As a result of computer simulatio, the computational complexity of proposed algorithm is reduced to be an half of 4th order method and MSE is enhanced as 10dB at the case of 4-PAM and 15dB at the case of 8-PAM respectivley. Conclusively, we have found that 3rd order blind equalizer can be implemented when the pdf of transmitter is asymmetric.

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Analysis of Fault Signal in Gear Using Higher Order Time Frequency Analysis

  • Lee, Sang-Kwon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.5
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    • pp.268-277
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    • 1999
  • Impulsive acoustic and vibration signals within gear are often induced by impacting of fault tooths in gear. Thus the detection of these impulses can be useful for fault diagnosis. Recently there is an increasing trend towards the use of higher order statistics for fault detection within mechanical systems based on the observation that impulsive signals then to increase the kurtosis values. We show that the fourth order Wigner Moment Spectrum, called the Wigner Trispectrum, has found superior detection performance to second order Wigner distribution for typical impulsive signals in a condition monitoring application. These methods are also applied to data sets measured within an industrial gear box.

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Noninformative priors for the shape parameter in the generalized Pareto distribution

  • Kang, Sang Gil;Kim, Dal Ho;Lee, Woo Dong
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.1
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    • pp.171-178
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    • 2013
  • In this paper, we develop noninformative priors for the generalized Pareto distribution when the parameter of interest is the shape parameter. We developed the first order and the second order matching priors.We revealed that the second order matching prior does not exist. It turns out that the reference prior satisfies a first order matching criterion, but Jeffrey's prior is not a first order matching prior. Some simulation study is performed and a real example is given.

The health and medical statistics survey in Medical Records Offices required by the outside institutions (의무기록부서의 외부기관 통계지원 업무에 관한 연구)

  • Im, Bock-Hee;Yoo, Jin-Yeong
    • Journal of Digital Convergence
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    • v.11 no.6
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    • pp.245-256
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    • 2013
  • This study was conducted in order to examine the quantity of health and medical statistics survey in Medical Records Offices which was required by outside institutions and whether it is profitable for the hospitals or not. The thirteen outside institutions required health and medical statistics of the 24 types of the survey to Medical Records Offices. 16.7% of health and medical statistics of the survey was paid to medical records offices such as the National Cancer Registration Survey, Patient Survey, Tuberculosis Patient Survey, and Hospital Discharge Patients Injury Survey. Medical Records Offices' total length of time for the health and medical statistics survey was over 200 hours per year like the National Cancer Registration Survey, Healthcare Accreditation System and Hospital Discharge Patients Injury Survey. The Medical Record Administrators in the hospitals with fewer than 500 beds work full time from 1 to 3. It is indicated in the study that it is necessary to improve the health and medical statistics survey system in Medical Records Offices required by the outside institutions and to employ additional Medical Record Administrator for more accurate Health and Medical Statistics Survey.