• 제목/요약/키워드: Order Statistics

검색결과 3,404건 처리시간 0.031초

Testing the Randomness of the Coefficients In First Order Autoregressive Processes

  • Park, Sangwoo;Lee, Sangyeol;Sun Y. Hwang
    • Journal of the Korean Statistical Society
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    • 제27권2호
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    • pp.189-195
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    • 1998
  • In this paper, we are concerned with the problem of testing the randomness of the coefficients in a first order autoregressive model. A consistent test based on prediction error is suggested. It is shown that under the null hypothesis, the test statistic is asymptotically normal.

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AN EFFICIENT THIRD ORDER MANN-LIKE FIXED POINT SCHEME

  • Pravin, Singh;Virath, Singh;Shivani, Singh
    • Nonlinear Functional Analysis and Applications
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    • 제27권4호
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    • pp.785-795
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    • 2022
  • In this paper, we introduce a Mann-like three step iteration method and show that it can be used to approximate the fixed point of a weak contraction mapping. Furthermore, we prove that this scheme is equivalent to the Mann iterative scheme. A comparison is made with the other third order iterative methods. Results are presented in a table to support our conclusion.

장애자통계의 개선방안 (Issues in Developing Statistics for the Handicapped Population)

  • 최봉호;이승욱
    • 한국인구학
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    • 제17권1호
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    • pp.73-86
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    • 1994
  • In order for handicapped people to maintain better humane life, it is necessary to get statistics of them in developing appropriate national policy. However, it is very difficult to obtain baseline statistics on regular or occasional basis. It's reason is mainly attributed to attitudes of their family's tendency to conceal any existence of such memeber in the household. As a result, the statis-tics on the handicapped population is very inaccurate and under satisfaction. We must produce such statistics periodically in time and with accuracy. Thus, this study porposes five methods which, we believe, can produce reliable statistics of thehandcapped population : 1) vitalization through enforcement of handicapped information into the registration system, 2) inclusion in population census of items related to handicapped information, 3) improvement of the physically handicapped population survey scheme, 4) utilization of hospital patients' records for development of the statistics, and 5) an estimation through the labor force survey.

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해양파랑의 통계적 변동성 해석 (Analysis on Variation of Ocean Wave Statistics)

  • 유정로;김현주;김종욱
    • 한국수산과학회지
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    • 제22권1호
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    • pp.41-47
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    • 1989
  • Using computer simulated irregular waves, variations of ocean wave statistics according to sea state are analyzed, and the reasonable conditions that transform the energy spectrum to individual wave statistics are discussed. Ocean wave statistics varying with sea state are found to respond linearly to the spectral peakedness parameter $Q_p$ and spectrum moments $m_n$ (n = 0, 1, 2${\cdots}{\cdots}\;\infty$ ). It is clarified that the 2nd-order spectrum moment is a reasonable parameter which represents the wave statistics including wave periods, and that the spectrum analysis should be carried out under the conditions of minimum data length of 10 times of peak period $T_p$ with time lag of $7T_p$ to satisfy the stable condition of wave statistics.

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ANALYSIS OF SOME PROJECTION METHODS FOR THE INCOMPRESSIBLE FLUIDS WITH MICROSTRUCTURE

  • Jiang, Yao-Lin;Yang, Yun-Bo
    • 대한수학회지
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    • 제55권2호
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    • pp.471-506
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    • 2018
  • In this article, some projection methods (or fractional-step methods) are proposed and analyzed for the micropolar Navier-Stokes equations (MNSE). These methods allow us to decouple the MNSE system into two sub-problems at each timestep, one is the linear and angular velocities system, the other is the pressure system. Both first-order and second-order projection methods are considered. For the classical first-order projection scheme, the stability and error estimates for the linear and angular velocities and the pressure are established rigorously. In addition, a modified first-order projection scheme which leads to some improved error estimates is also proposed and analyzed. We also present the second-order projection method which is unconditionally stable. Ample numerical experiments are performed to confirm the theoretical predictions and demonstrate the efficiency of the methods.

고차통계 정규화를 이용한 강인한 음성인식 (Robust Speech Recognition Using Real-Time Higher Order Statistics Normalization)

  • 정주현;송화전;김형순
    • 대한음성학회지:말소리
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    • 제54호
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    • pp.63-72
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    • 2005
  • The performance of speech recognition system is degraded by the mismatch between training and test environments. Many studies have been presented to compensate for noise components in the cepstral domain. Recently, higher order cepstral moment normalization method has been introduced to improve recognition accuracy. In this paper, we present real-time high order moment normalization method with post-processing smoothing filter to reduce the parameter estimation error in higher order moment computation. In experiments using Aurora2 database, we obtained error rate reduction of 44.7% with proposed algorithm in comparison with baseline system.

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UNIQUENESS RELATED TO HIGHER ORDER DIFFERENCE OPERATORS OF ENTIRE FUNCTIONS

  • Xinmei Liu;Junfan Chen
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제30권1호
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    • pp.43-65
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    • 2023
  • In this paper, by using the difference analogue of Nevanlinna's theory, the authors study the shared-value problem concerning two higher order difference operators of a transcendental entire function with finite order. The following conclusion is proved: Let f(z) be a finite order transcendental entire function such that λ(f - a(z)) < ρ(f), where a(z)(∈ S(f)) is an entire function and satisfies ρ(a(z)) < 1, and let 𝜂(∈ ℂ) be a constant such that ∆𝜂n+1 f(z) ≢ 0. If ∆𝜂n+1 f(z) and ∆𝜂n f(z) share ∆𝜂n a(z) CM, where ∆𝜂n a(z) ∈ S ∆𝜂n+1 f(z), then f(z) has a specific expression f(z) = a(z) + BeAz, where A and B are two non-zero constants and a(z) reduces to a constant.

다중 점진적 중도절단에서 지수분포의 적합도 검정 (Goodness of Fit Tests for the Exponential Distribution based on Multiply Progressive Censored Data)

  • 윤혜정;이경준
    • Journal of the Korean Data Analysis Society
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    • 제20권6호
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    • pp.2813-2827
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    • 2018
  • 최근에 중도절단 방법 중 점진적 중도절단과 관련한 연구가 활발히 이루어지고 있다. 하지만 점진적 중도절단 상황에서 관측되는 시점의 자료들 사이에는 관측원의 실수 혹은 관측 기계의 오류로 인하여 또 다른 중도절단이 발생할 수 있다. 따라서 이러한 기계적 오류 등을 고려하기 위하여 다중 점진적 중도절단이 새롭게 제안되었다. 따라서 본 논문에서는 다중 점진적 중도절단 상황에서 지수분포의 최대우도추정량을 계산하고 다중 점진적 중도절단 순서통계량을 이용한 적합도 검정 통계량과 로렌츠 곡선을 이용한 적합도 검정 통계량을 제안하였다. 몬테카를로 모의실험을 통하여 순서통계량을 이용한 적합도 검정 통계량과 로렌츠 곡선을 이용한 적합도 검정 통계량을 비교하고 더 우수한 적합도 검정 통계량을 확인하고, 실제 사례 자료를 활용하여 적합도 검정을 실시하였다. 그 결과 와이블분포와 카이제곱 분포의 경우 로렌츠 곡선을 이용한 방법이 더 우수한 결과가 나타났고, 로그 정규분포의 경우 순서통계량을 이용한 방법이 더 우수한 결과가 나타났다.

Linear and nonlinear vibrations of inhomogeneous Euler-Bernoulli beam

  • Bakalah, Ebrahim S.;Zaman, F.D.;Saleh, Khairul
    • Coupled systems mechanics
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    • 제7권5호
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    • pp.635-647
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    • 2018
  • Dynamic problems arising from the Euler-Bernoulli beam model with inhomogeneous elastic properties are considered. The method of Green's function and perturbation theory are employed to find the deflection in the beam correct to the first-order. Eigenvalue problems appearing from transverse vibrations of inhomogeneous beams in linear and nonlinear cases are also discussed.

한 개의 불확실(不確實)한 이상점(異常點)을 갖는 와이블분포(分布)에서 최대(最大)값과 최소(最小)값의 상관계수(相關係數) (The Correlation Coefficient between the Smallest and Largest Observations in the Weibull Model in the Presence of an Unidentified Outlier)

  • 우정수;이창수
    • Journal of the Korean Data and Information Science Society
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    • 제4권
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    • pp.131-136
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    • 1993
  • We shall consider the trends of correlation coefficient between the smallest and largest observations in the Weibull model in the presence of an unidentified outlier, and derive the density functions of order statistics by the permanent theory.

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