• 제목/요약/키워드: Order Statistics

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Aspects of Dependence in Lomax Distribution

  • Asadian, N.;Amini, M.;Bozorgnia, A.
    • Communications for Statistical Applications and Methods
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    • 제15권2호
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    • pp.193-204
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    • 2008
  • In this paper we study some positive dependence concepts, introduced by Caperaa and Genest (1990) and Shaked (1977b), for bivariate lomax distribution. In particular, we obtain some measures of association for this distribution and derive the tail-dependence coefficients by using copula function. We also compare Spearman's $\rho_s$ with Kendall's $\tau$ for bivariate lomax distribution.

REMARKS ON THE WIENER POLARITY INDEX OF SOME GRAPH OPERATIONS

  • Faghani, Morteza;Ashrafi, Ali Reza;Ori, Ottorino
    • Journal of applied mathematics & informatics
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    • 제30권3_4호
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    • pp.353-364
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    • 2012
  • The Wiener polarity index$W_p(G)$ of a graph G of order $n$ is the number of unordered pairs of vertices $u$ and $v$ of G such that the distance $d_G(u,v)$ between $u$ and $v$ is 3. In this paper the Wiener polarity index of some graph operations are computed. As an application of our results, the Wiener polarity index of a polybuckyball fullerene and $C_4$ nanotubes and nanotori are computed.

TURBULENCE STATISTICS FROM SPECTRAL LINE OBSERVATIONS

  • LAZARIAN A.
    • 천문학회지
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    • 제37권5호
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    • pp.563-570
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    • 2004
  • Turbulence is a crucial component of dynamics of astrophysical fluids dynamics, including those of ISM, clusters of galaxies and circumstellar regions. Doppler shifted spectral lines provide a unique source of information on turbulent velocities. We discuss Velocity-Channel Analysis (VCA) and its offspring Velocity Coordinate Spectrum (VCS) that are based on the analytical description of the spectral line statistics. Those techniques are well suited for studies of supersonic turbulence. We stress that a great advantage of VCS is that it does not necessary require good spatial resolution. Addressing the studies of mildly supersonic and subsonic turbulence we discuss the criterion that allows to determine whether Velocity Centroids are dominated by density or velocity. We briefly discuss ways of going beyond power spectra by using of higher order correlations as well as genus analysis. We outline the relation between Spectral Correlation Functions and the statistics available through VCA and VCS.

Applications on p-values of Chi-Square Distribution

  • Hong, Chong Sun;Hong, Sung Sick
    • Communications for Statistical Applications and Methods
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    • 제9권3호
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    • pp.877-887
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    • 2002
  • In this paper, behaviors and properties of p-values for goodness-of-fit test are investigated. With some findings on the p-values, we consider some applications to determine sample size of a survey research using the regression equation based on a pilot study data. Regression equations are obtained by the well-known least squared method, and we find that regression lines could be formulated with only two data points, alternatively. For further studies, this works might be extended to t distributions for testing hypotheses about population mean in order to determine sample size of a prospective study. Also similar arguments could be explored for F test statistics.

Estimation for the Exponentiated Exponential Distribution Based on Multiply Type-II Censored Samples

  • Kang Suk-Bok;Park Sun-Mi
    • Communications for Statistical Applications and Methods
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    • 제12권3호
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    • pp.643-652
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    • 2005
  • It has been known that the exponentiated exponential distribution can be used as a possible alternative to the gamma distribution or the Weibull distribution in many situations. But the maximum likelihood method does not admit explicit solutions when the sample is multiply censored. So we derive the approximate maximum likelihood estimators for the location and scale parameters in the exponentiated exponential distribution that are explicit function of order statistics. We also compare the proposed estimators in the sense of the mean squared error for various censored samples.

Median Control Chart using the Bootstrap Method

  • Lim, Soo-Duck;Park, Hyo-Il;Cho, Joong-Jae
    • Communications for Statistical Applications and Methods
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    • 제14권2호
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    • pp.365-376
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    • 2007
  • This research considers to propose the control charts using median for the location parameter. In order to decide the control limits, we apply several bootstrap methods through the approach obtaining the confidence interval except the standard bootstrap method. Then we illustrate our procedure using an example and compare the performance among the various bootstrap methods by obtaining the length between control limits through the simulation study. The standard bootstrap may be apt to yield shortest length while the bootstrap-t method, the longest one. Finally we comment briefly about some specific features as concluding remarks.

A new flexible Weibull distribution

  • Park, Sangun;Park, Jihwan;Choi, Youngsik
    • Communications for Statistical Applications and Methods
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    • 제23권5호
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    • pp.399-409
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    • 2016
  • Many of studies have suggested the modifications on Weibull distribution to model the non-monotone hazards. In this paper, we combine two cumulative hazard functions and propose a new modified Weibull distribution function. The newly suggested distribution will be named as a new flexible Weibull distribution. Corresponding hazard function of the proposed distribution shows flexible (monotone or non-monotone) shapes. We study the characteristics of the proposed distribution that includes ageing behavior, moment, and order statistic. We also discuss an estimation method for its parameters. The performance of the proposed distribution is compared with existing modified Weibull distributions using various types of hazard functions. We also use real data example to illustrate the efficiency of the proposed distribution.

이산코사인변환을 이용한 단위근 검정 (A Unit Root Test via a Discrete Cosine Transform)

  • 이고운;여인권
    • 응용통계연구
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    • 제24권1호
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    • pp.35-43
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    • 2011
  • 이 논문에서는 이산코사인변환(discrete cosine transform) 계수를 이용하여 AR(1) 과정에서 단위근을 검정하는 방법을 소개한다. 제안하고자 하는 방법의 이론적 타당성을 보이기 위해 정상 AR(1) 과정과 확률보행과정 하에서의 이산코사인변환 계수의 통계적 성질을 비교한다. 비교 결과를 이용하여 단위근 여부를 확인할 수 있는 검정통계량을 제안하고 붓스트랩을 활용하여 검정통계량의 분포를 유도한다. 모의실험을 통해 기존 Dickey-Fuller 검정과 검정력 비교를 실시하였다.

오디오 e-Book 스트리밍을 지원하는 스테가노그래피 모델 (Secure Steganographic Model for Audio e-Book Streaming Service)

  • 이윤정;이봉규;김철수
    • 한국산학기술학회논문지
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    • 제12권12호
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    • pp.5878-5884
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    • 2011
  • 본 논문은 오디오 e-Book 스트리밍 콘텐츠에 저작권과 인증과 관련되는 비밀 데이터를 인코딩하고 추출할 수 있도록, 스트리밍 서비스 특성에 적합한 스테가노그래피 서비스 모델과 알고리즘을 제안한다. 은닉 데이터는 송신측과 수신측에서 공유하는 비밀키 k를 사용하여 생성한 의사난수로 암호화하여 안전도를 높였다. 또한 은닉데이터가 커버데이터의 초반 일정구간 안에 랜덤하게 고루 분포하도록 하였고, 스트리밍의 상황을 고려하여 기타의 연산을 단순화하여 처리율을 높였다.

Vibration and stability of fluid conveying pipes with stochastic parameters

  • Ganesan, R.;Ramu, S. Anantha
    • Structural Engineering and Mechanics
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    • 제3권4호
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    • pp.313-324
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    • 1995
  • Flexible cantilever pipes conveying fluids with high velocity are analysed for their dynamic response and stability behaviour. The Young's modulus and mass per unit length of the pipe material have a stochastic distribution. The stochastic fields, that model the fluctuations of Young's modulus and mass density are characterized through their respective means, variances and autocorrelation functions or their equivalent power spectral density functions. The stochastic non self-adjoint partial differential equation is solved for the moments of characteristic values, by treating the point fluctuations to be stochastic perturbations. The second-order statistics of vibration frequencies and mode shapes are obtained. The critical flow velocity is first evaluated using the averaged eigenvalue equation. Through the eigenvalue equation, the statistics of vibration frequencies are transformed to yield critical flow velocity statistics. Expressions for the bounds of eigenvalues are obtained, which in turn yield the corresponding bounds for critical flow velocities.