• 제목/요약/키워드: Test Statistics

검색결과 6,465건 처리시간 0.029초

Bayesian Test for Equality of Coefficients of Variation in the Normal Distributions

  • Lee, Hee-Choon;Kang, Sang-Gil;Kim, Dal-Ho
    • Journal of the Korean Data and Information Science Society
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    • 제14권4호
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    • pp.1023-1030
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    • 2003
  • When X and Y have independent normal distributions, we develop a Bayesian testing procedure for the equality of two coefficients of variation. Under the reference prior of the coefficient of variation, we propose a Bayesian test procedure for the equality of two coefficients of variation using fractional Bayes factor. A real data example is provided.

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On Some New Stochastic Orders of Interest in Reliability Theory

  • Kayid, M.;El-Bassiouny, A.H.;Al-Wasel, I.A.
    • International Journal of Reliability and Applications
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    • 제8권1호
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    • pp.95-109
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    • 2007
  • The purpose of this paper is to study new notions of stochastic comparisons and ageing classes based on the total time on test transform order. We give relationships to other stochastic orders and aging classes given previously. Several preservation properties under the reliability operations of random minima and series system are given.

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Bootstrap Analysis of ILSTS035 Microsatellite Locus in Hanwoo Chromosome 6

  • Lee, Jea-Young;Lee, Yong-Won;Kim, Mun-Jung
    • Journal of the Korean Data and Information Science Society
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    • 제15권1호
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    • pp.75-81
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    • 2004
  • We selected, in previous research, a major DNA Marker 235bp of ILSTS035 microsatellite locus in progeny test Hanwoo chromosome 6. We apply a major DNA Marker 235bp to perormance valuation Hanwoo chomosome 6. We use bootstrap BCa method and calculate confidence interval. A major DNA Marker 235bp is verified that it does not have environmental effect but affects primely economic trait factor.

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모수가 미지인 상황에서의 지수분포성 적합도 검정방법 (A goodness - of - fit test for the exponential distribution with unknown parameters)

  • 김부용
    • 응용통계연구
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    • 제4권2호
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    • pp.157-170
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    • 1991
  • 본 논문은 척도모수와 위치모수가 알려지지 않은 상황에서의 지수분포성 적합도 검정문제를 다루고 있다. 기존의 검장방법들과는 달리 누적분포 함수와 경험분포 함수 사이의 편차의 $L_1$-norm에 바탕을 두고 둔 새로운 검정방법이 제시되었으며, Monte Carlo 방법에 의하 여 검정통계량의 임계치를 구하였다. 그리고 표본의 크기가 작은 경우에 한하여 제시된 검 전통계량의 분포가 파악되었다. 한편 이 검정방법의 검정력을 기존의 검정방법들과 비교하 기 위하여 응용분야에서 흔히 사용되는 몇가지 분포형태에 대하여 검정력을 측정하였다. 그 결과, 새로운 검정방법이 보수적인 검정임에도 불구하고 다른 검정방법에 비하여 상대적으 로 검정력이 우수한 것으로 나타났다.

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Nonlinear Rank Statistics for the Simple Tree Alternatives

  • Park, Sang-Gue;Kim, Tai-Kyoo
    • 품질경영학회지
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    • 제17권2호
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    • pp.93-100
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    • 1989
  • Nonlinear rank statistics for the simple tree alternatives problem are considered. Pitman efficiencies between several procedures are studied. A new maximin procedure is suggested and shown to have good efficiency properties. Additionally, it is desirable to terminate the experiment early comparing well known rank statistics or multiple comparison test statistics.

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Stationary Bootstrap for U-Statistics under Strong Mixing

  • Hwang, Eunju;Shin, Dong Wan
    • Communications for Statistical Applications and Methods
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    • 제22권1호
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    • pp.81-93
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    • 2015
  • Validity of the stationary bootstrap of Politis and Romano (1994) is proved for U-statistics under strong mixing. Weak and strong consistencies are established for the stationary bootstrap of U-statistics. The theory is applied to a symmetry test which is a U-statistic regarding a kernel density estimator. The theory enables the bootstrap confidence intervals of the means of the U-statistics. A Monte-Carlo experiment for bootstrap confidence intervals confirms the asymptotic theory.

Influence Measures for a Test Statistic on Independence of Two Random Vectors

  • Jung Kang-Mo
    • Communications for Statistical Applications and Methods
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    • 제12권3호
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    • pp.635-642
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    • 2005
  • In statistical diagnostics a large number of influence measures have been proposed for identifying outliers and influential observations. However it seems to be few accounts of the influence diagnostics on test statistics. We study influence analysis on the likelihood ratio test statistic whether the two sets of variables are uncorrelated with one another or not. The influence of observations is measured using the case-deletion approach, the influence function. We compared the proposed influence measures through two illustrative examples.

ON TESTING THE EQUALITY OF THE COEFFICIENTS OF VARIATION IN TWO INVERSE GAUSSIAN POPULATIONS

  • Choi, Byung-Jin;Kim, Kee-Young
    • Journal of the Korean Statistical Society
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    • 제32권2호
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    • pp.93-101
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    • 2003
  • This paper deals with testing the equality of the coefficients of variation in two inverse Gaussian populations. The likelihood ratio, Lagrange-multiplier and Wald tests are presented. Monte-Carlo simulations are performed to compare the powers of these tests. In a simulation study, the likelihood ratio test appears to be consistently more powerful than the Lagrange-multiplier and Wald tests when sample size is small. The powers of all the tests tend to be similar when sample size increases.

Simulation Study on the Scale Change Test for Autoregressive Models with Heavy-Tailed Innovations

  • Park, Si-Yun;Lee, Sang-Yeol
    • Journal of the Korean Data and Information Science Society
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    • 제17권4호
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    • pp.1397-1403
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    • 2006
  • This paper considers the testing problem for scale changes in autoregressive processes with heavy-tailed innovations. For a test, we propose the CUSUM test statistic based on the trimmed residuals. We perform a simulation study for the mixture normal and Cauchy innovations.

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An Adaptive Test for Ordered Interqartile Ranges among Several Distributions

  • Park, Chul-Gyu
    • Journal of the Korean Statistical Society
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    • 제30권1호
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    • pp.63-76
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    • 2001
  • An adaptive estimation and testing method is proposed for comparing dispersions among several ordered groups. Based upon the large sampling theory for nonparametric quartile estimators, we derive the order restricted estimators and construct a simple test statistic. This test statistic has a mixture of several chi-square distributions as its asymptotic null distribution. The proposed test is illustratively applied to survival time data for the patients with carcinoma of the oropharynx.

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