• 제목/요약/키워드: Watson

검색결과 235건 처리시간 0.032초

계단충격가속수명시험에서의 지수분포에 대한 적합도검정 (Goodness of Fit Testing for Exponential Distribution in Step-Stress Accelerated Life Testing)

  • 조건호
    • Journal of the Korean Data and Information Science Society
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    • 제5권2호
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    • pp.75-85
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    • 1994
  • 계단 충격 가속수명시험에서 통계적 추론을 위해 가정하는 수명분포에 대한 적합도검정을 Kolmogorov-Smirnov, Kuiper, Watson, Cramer-von Mises, Anderson-Darling과 같은 비모수적 검정통계량에 대하여 몬테칼로 방법을 이용한 기각치를 구하고, 검정력 측면에서 비교, 연구한다.

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Remarks on correlated error tests

  • Kim, Tae Yoon;Ha, Jeongcheol
    • Journal of the Korean Data and Information Science Society
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    • 제27권2호
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    • pp.559-564
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    • 2016
  • The Durbin-Watson (DW) test in regression model and the Ljung-Box (LB) test in ARMA (autoregressive moving average) model are typical examples of correlated error tests. The DW test is used for detecting autocorrelation of errors using the residuals from a regression analysis. The LB test is used for specifying the correct ARMA model using the first some sample autocorrelations based on the residuals of a tted ARMA model. In this article, simulations with four data generating processes have been carried out to evaluate their performances as correlated error tests. Our simulations show that the DW test is severely dependent on the assumed AR(1) model but isn't sensitive enough to reject the misspecified model and that the LB test reports lackluster performance in general.

A NEW CLASS OF INTEGRALS INVOLVING HYPERGEOMETRIC FUNCTION

  • Arjun K. Rathie;Choi, June-Sang;Vishakha Nagar
    • 대한수학회논문집
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    • 제15권1호
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    • pp.51-57
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    • 2000
  • The aim of this research is to provide twenty five integrals involving hypergeometric function in the form of a single integral. Fifty two interesting integrals follow as special cases of our main findings. These results are obtained with the help of generalized Watson's theorem on the sum of a $_3$F$_2$ recently obtained by Lavoie, Grondin and Rathie. The integrals given in this paper are simple, interesting and easily established, and they may be useful.

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ON A NEW CLASS OF INTEGRALS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTION 3F2

  • Kim, Insuk;Shantha Kumari., K.;Vyas, Yashoverdhan
    • 호남수학학술지
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    • 제40권1호
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    • pp.61-73
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    • 2018
  • The main aim of this research paper is to evaluate the general integral of the form $${\int_{0}^{1}}x^{c-1}(1-x)^{c+{\ell}}[1+{\alpha}x+{\beta}(1-x)]^{-2c-{\ell}-1}\atop {\times}_3F_2\left\[ {a,\;b,\;2c+{\ell}+1} \\ {\frac{1}{2}(a+b+i+1),\;2c+j\;;\frac{(1+{\alpha})x}{1+{\alpha}x+{\beta}(1-x)} }\right]dx$$ in the most general form for any ${\ell}{\in}\mathbb{Z}$; and $i, j=0,{\pm}1,{\pm}2$. The results are established with the help of generalized Watson's summation theorem due to Lavoie, et al. Fifty interesting general integrals have also been obtained as special cases of our main findings.