• Title/Summary/Keyword: Gaussian Processes

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Estimation of Spatial Dependence by Quasi-likelihood Method (의사우도법을 이용한 공간 종속 모형의 추정)

  • 이윤동;최혜미
    • The Korean Journal of Applied Statistics
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    • v.17 no.3
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    • pp.519-533
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    • 2004
  • In this paper, we suggest quasi-likelihood estimation (QLE) method and its robust version in estimating spatial dependence modelled through variogram used for spatial data modelling. We compare the statistical characteristics of the estimators with other popular least squares estimators of parameters for variogram model by simulation study. The QLE method for estimating spatial dependence has the advantages that it does not need the concept of lags commonly required for least squares estimation methods as well as its statistical superiority. The QLE method also shows the statistical superiority to the other methods for the tested Gaussian and non-Gaussian spatial processes.

The Limit Distribution and Power of a Test for Bivariate Normality

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.187-196
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    • 2002
  • Testing for normality has always been a center of practical and theoretical interest in statistical research. In this paper a test statistic for bivariate normality is proposed. The underlying idea is to investigate all the possible linear combinations that reduce to the standard normal distribution under the null hypothesis and compare the order statistics of them with the theoretical normal quantiles. The suggested statistic is invariant with respect to nonsingular matrix multiplication and vector addition. We show that the limit distribution of an approximation to the suggested statistic is represented as the supremum over an index set of the integral of a suitable Gaussian Process. We also simulate the null distribution of the statistic and give some critical values of the distribution and power results.

Dynamic response of a bridge deck with one torsional degree of freedom under turbulent wind

  • Foti, Dora;Monaco, Pietro
    • Wind and Structures
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    • v.3 no.2
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    • pp.117-132
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    • 2000
  • Under special conditions of turbulent wind, suspension and cable-stayed bridges could reach instability conditions. In various instances the bridge deck, as like a bluff body, could exhibit single-degree torsional instability. In the present study the turbulent component of flow has been considered as a solution of a differential stochastic linear equation. The input process is represented by a Gaussian zero-mean white noise. In this paper the analytical solution of the dynamic response of the bridge has been determined. The solution has been obtained with a technique of closing on the order of the moments.

Error Probabilities for Digital Transmission in Correlated Gaussian Fading Channels (상관가우스 페이딩 채널에서 디지틀전송에 대한 오율)

  • 한영렬
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.9 no.1
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    • pp.18-24
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    • 1984
  • Calculation of error probabilities for a coherent phase-shilft keyed communication system operating in a transionospheric scintillation channel is accomplished by means of the Gauss-quadrature integration formula. The channel model used, patterned after Rino's work, is slowly flat fading wherein the envelope of the received signal is modeled as the envelope of correlated Gaussian quadrature random processes. The error probability for the scintillation channel is calculated using actual ionospheric scintillation data for transmission in the UHF region(30-300MHz).

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Limit of the maximum Signal Levels from other Radio Noise and interference of the Reciving Signal (외부잡음의 수신신호에 미치는 영향과 최악조건의 한계)

  • 김원후
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.5 no.1
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    • pp.34-39
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    • 1980
  • This paper discribes a effect of Radio signals in Noise and Interference for the Communication systems and Generation of diffusion Noise from the Solid state Devices, and in Jection it to the Radio Reciving systems for probability of Signal Detection. The error performance depends on level of the Noise spectral density by Random processes between average signal energy. This experimental result are given by the performance of the correlation receiver for detecting Completely known signals in additive white Gaussian Noise.

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Multi-time probability density functions of the dynamic non-Gaussian response of structures

  • Falsone, Giovanni;Laudani, Rossella
    • Structural Engineering and Mechanics
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    • v.76 no.5
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    • pp.631-641
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    • 2020
  • In the present work, an approach for the multiple time probabilistic characterization of the response of linear structural systems subjected to random non-Gaussian processes is presented. Its fundamental property is working directly on the multiple time probability density functions of the actions and of the response. This avoids of passing through the evaluation of the response statistical moments at multiple time or correlations, reducing the computational effort in a consistent measure. This approach is the extension to the multiple time case of a previously published dynamic Probability Transformation Method (PTM) working on a single evolution of the response statistics. The application to some simple examples has revealed the efficiency of the method, both in terms of computational effort and in terms of accuracy.

Algorithm of Adaptive Noise Reduction with Modified Sigma Filter for Reduction of Edge Blurring and Minute Noises (윤곽선 훼손 방지 및 미세잡음 제거를 위한 Modified Sigma Filter를 이용한 적응적 잡음 제거장치 알고리즘)

  • Yang, Jeong-Ju;Han, Hag-Yong;Yang, Hoon-Gee;Kang, Bong-Soon;Lee, Gi-Dong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.10
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    • pp.2261-2268
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    • 2010
  • The information captured by imaging devices such as CCD or CIS may contain external noises through the processes of passing signals or storing images. In this paper, we propose a Modified Sigma Filter (MSF) algorithm to reduce such noises. In experiment, we verified that our MSF algorithm showed better performance in PSNR and 1D plot of simulation results compared with Gaussian Filter (GF), Local Sigma Filter (LSF). Tested images include random Gaussian Noises.

Analysis of array receivers for use in optical communication (광 통신에 이용되는 배열 수신기의 해석)

  • Sung, Pyung-Shik
    • Journal of the Korea Computer Industry Society
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    • v.8 no.3
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    • pp.173-180
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    • 2007
  • This paper describes the point-detector arrays system to processes the fields of signal and noise of the turbulent atmosphere. By using aboves, the maxmum output of direct-detection shows a little differences between experimental datas and theoretical datas. As a whole the experimental datas are agreed with the joint Gaussian theoretical curves and K-distribution curves.

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MAXIMAL INEQUALITIES AND AN APPLICATION UNDER A WEAK DEPENDENCE

  • HWANG, EUNJU;SHIN, DONG WAN
    • Journal of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.57-72
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    • 2016
  • We establish maximal moment inequalities of partial sums under ${\psi}$-weak dependence, which has been proposed by Doukhan and Louhichi [P. Doukhan and S. Louhichi, A new weak dependence condition and application to moment inequality, Stochastic Process. Appl. 84 (1999), 313-342], to unify weak dependence such as mixing, association, Gaussian sequences and Bernoulli shifts. As an application of maximal moment inequalities, a functional central limit theorem is developed for linear processes with ${\psi}$-weakly dependent innovations.

PARAMETER ESTIMATION AND SPECTRUM OF FRACTIONAL ARIMA PROCESS

  • Kim, Joo-Mok;Kim, Yun-Kyong
    • Journal of applied mathematics & informatics
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    • v.33 no.1_2
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    • pp.203-210
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    • 2015
  • We consider fractional Brownian motion and FARIMA process with Gaussian innovations and show that the suitably scaled distributions of the FARIMA processes converge to fractional Brownian motion in the sense of finite dimensional distributions. We figure out ACF function and estimate the self-similarity parameter H of FARIMA(0, d, 0) by using R/S method. Finally, we display power spectrum density of FARIMA process.