• Title/Summary/Keyword: sign statistics

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Integral constants of Transformed geometric Poisson process

  • Park, Jeong-Hyun
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.305-310
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    • 1998
  • In this paper, we introduce the conditions that the P-process has the intensity function which it is a standard form of gamma distribution. And we show that the transformed geometric Poisson process which the intensity function is a standard form of gamma distribution is a alternative sign P-process

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On the Weak Law of Large Numbers for the Sums of Sign-Invariant Random Variables (대칭확률변수(對稱確率變數)의 대수(對數)의 법칙(法則)에 대하여)

  • Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.4
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    • pp.53-63
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    • 1993
  • We consider various types of weak convergence for sums of sign-invariant random variables. Some results show a similarity between independence and sign-invariance. As a special case, we obtain a result which strengthens a weak law proved by Rosalsky and Teicher [6] in that some assumptions are deleted.

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WILCOXON SIGNED RANK TEST USING RANKED-SET SAMPLE

  • Kim, Dong-Hee;Kim, Young-Cheol
    • Journal of applied mathematics & informatics
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    • v.3 no.2
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    • pp.235-244
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    • 1996
  • Ranked-set sampling is useful when measurements are destructive or costly to obtain but ranking of the observations is rel-atively easy. The Wilcoxon signed rank test statistic based on the ranked-set sample is considered. We compared the asymptotic relative efficiencies of the RSS Wilcoxon signed rank test statistics with respect to the SRS Wilcoxon signed rank test statistic and the RSS sign test statistic. Throughout the ARE's the proposed test statistic is superior to the SRS Wilcoxxon signed rank test statistic and the RSS sign test statistic.

DISTRIBUTiON-FREE TWO-SAMPLE TEST ON RANKED-SET SAMPLES

  • DONG HEE KIM;YOUNG CHEOL KIM;MYUNG HWA CHO
    • Communications for Statistical Applications and Methods
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    • v.5 no.1
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    • pp.133-144
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    • 1998
  • In this paper, we propose the two-sample test statistic using Wilcoxon signed rank test on ranked-set sampling(RSS) and obtain the asymptotic relative efficiencies(ARE) of the proposed test statistic with respect to Mann-Whitney-Wilcoxon statistic on simple random sampling(SRS), the Mann-Whitney-Wilcoxon statistic on RSS, sign statistic on RSS and Wilcoxon signed rank test on SRS. From the simulation works, we compare the powers of the proposed test statistic, Mann-Whitney-Wilcoxon statistic on RSS, the usual two-sample t statistic, sign statistic on RSS, where the underlying distributions are uniform, normal, double exponential, logistic and Cauchy distributions.

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Review of Nonparametric Statistics by Neyman-Pearson Test and Fisher Test (Neyman-Pearson 검정과 Fisher 검정에 의한 비모수 통계의 고찰)

  • Choi, Sung-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 2008.04a
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    • pp.451-460
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    • 2008
  • This paper reviews nonparametric statistics by Neyman-Pearson test and Fisher test. Nonparametric statistics deal with the small sample with distribution-free assumption in multi-product and small-volume production. Two tests for various nonparametric statistic methods such as sign test, Wilcoxon test, Mann-Whitney test, Kruskal-Wallis test, Mood test, Friedman test and run test are also presented with the steps for testing hypotheses and test of significance.

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Sign Language Shape Recognition Using SOFM Neural Network (SOFM신경망을 이용한 수화 형상 인식)

  • Kim, Kyoung-Ho;Kim, Jong-Min;Jeong, Jea-Young;Lee, Woong-Ki
    • Proceedings of the Korea Information Processing Society Conference
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    • 2009.11a
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    • pp.283-284
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    • 2009
  • 본 논문은 단일 카메라 환경에서 손 형상을 입력정보로 사용하여 손 영역만을 분할한 후 자기 조직화 특징 지도(SOFM: Self Organized Feature Map) 신경망 알고리즘을 이용하여 손 형상을 인식함으로서 수화인식을 위한 보다 안정적이며 강인한 인식 시스템을 구현하고자 한다.

A Note on the Median Control Chart

  • Park, Hyo-Il
    • Communications for Statistical Applications and Methods
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    • v.20 no.2
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    • pp.107-113
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    • 2013
  • This study reviews several well-known control charts for the location parameter with a discussion of the relationship between the maintenance of the control chart and a series of hypotheses testing. As a by-product, we then propose a new median control chart with the sign test statistic. We also modify the nonparametric control charts to easily understand the relation. Then we illustrate the construction of several median control charts with the industrial data and compare the efficiency among several control charts. Finally, we discuss some interesting features for the median control charts as concluding remarks.

On the Law of the Iterated Logarithm without Assumptions about the Existence of Moments for the Sums of Sign-Invariant Random Variables (부호불변(符號不變) 확률변수(確率變數)에 합(合)에 대한 반복대수(反復對數)의 법칙(法則))

  • Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.2
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    • pp.41-44
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    • 1991
  • Petrov (1968) gave two theorems on the law of the iterated logarithm without any assumptions about the existence of moments of independent random variables. In the present paper we show that the same holds true for sign-invariant random variables.

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Modified Ranked Ordering Set Samples for Estimating the Population Mean

  • Kim, Hyun-Gee;Kim, Dong-Hee
    • Communications for Statistical Applications and Methods
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    • v.14 no.3
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    • pp.641-648
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    • 2007
  • We propose the new sampling method, called modified ranked ordering set sampling (MROSS). Kim and Kim (2003) suggested the sign test using the ranked ordering set sampling (ROSS), and showed that the asymptotic relative efficiency (ARE) of ROSS against RSS for sign test increases as sample size does. We propose the estimator for the population mean using MROSS. The relative precision (RP) of estimator of the population mean using MROSS method with respect to the usual estimator using modified RSS is higher, and when the underlying distribution is skewed, the bias of the proposed estimator is smaller than that of several ranked set sampling estimators.

THE MAXIMUM DETERMINANT OF (0,1)-TRIDIAGONAL MATRICES

  • Hwang, Geum-Sug
    • East Asian mathematical journal
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    • v.15 no.2
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    • pp.223-232
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    • 1999
  • In this paper, we give the upper bound of determinants of (0,1)-tridiagonal matrices and we show that the (0,1)-tridiagonal matrices which have maximal determinant are sign-nonsingular.

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