• Title/Summary/Keyword: Density estimation function

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Multi frequency band noise suppression system using signal-to-noise ratio estimation (신호 대 잡음비 추정 방법을 이용한 다중 주파수 밴드 잡음 억제 시스템)

  • Oh, In Kyu;Lee, In Sung
    • The Journal of the Acoustical Society of Korea
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    • v.35 no.2
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    • pp.102-109
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    • 2016
  • This paper proposes a noise suppression method through SNR (Singal-to Noise Ratio) estimation in the two microphone array environment of close spacing. The conventional method uses a noise suppression method for a gain function obtained through the SNR estimation based on coherence function from full band. However, this method cause performance decreased by the noise damage that affects all the feature vector component. So, we propose a noise suppression method that allocates a frequency domain signal into N constant multi frequency band and each frequency band gets a gain function through SNR estimation based on coherence function. Performance evaluation of the proposed method is shown by comparison with PESQ (Perceptual Evaluation of Speech Quality) value which is an objective quality evaluation method provided by the ITU-T (International Telecommunications Union Telecommunication).

Statistical and Probabilistic Assessment for the Misorientation Angle of a Grain Boundary for the Precipitation of in a Austenitic Stainless Steel (II) (질화물 우선석출이 발생하는 결정립계 어긋남 각도의 통계 및 확률적 평가 (II))

  • Lee, Sang-Ho;Choe, Byung-Hak;Lee, Tae-Ho;Kim, Sung-Joon;Yoon, Kee-Bong;Kim, Seon-Hwa
    • Korean Journal of Metals and Materials
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    • v.46 no.9
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    • pp.554-562
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    • 2008
  • The distribution and prediction interval for the misorientation angle of grain boundary at which $Cr_2N$ was precipitated during heating at $900^{\circ}C$ for $10^4$ sec were newly estimated, and followed by the estimation of mathematical and median rank methods. The probability density function of the misorientation angle can be estimated by a statistical analysis. And then the ($1-{\alpha}$)100% prediction interval of misorientation angle obtained by the estimated probability density function. If the estimated probability density function was symmetric then a prediction interval for the misorientation angle could be derived by the estimated probability density function. In the case of non-symmetric probability density function, the prediction interval could be obtained from the cumulative distribution function of the estimated probability density function. In this paper, 95, 99 and 99.73% prediction interval obtained by probability density function method and cumulative distribution function method and compared with the former results by median rank regression or mathematical method.

A structural model updating method using incomplete power spectral density function and modal data

  • Esfandiari, Akbar;Chaei, Maryam Ghareh;Rofooei, Fayaz R.
    • Structural Engineering and Mechanics
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    • v.68 no.1
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    • pp.39-51
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    • 2018
  • In this study, a frequency domain model updating method is presented using power spectral density (PSD) data. It uses the sensitivity of PSD function with respect to the unknown structural parameters through a decomposed form of transfer function. The stiffness parameters are captured with high accuracy through solving the sensitivity equations utilizing the least square approach. Using numerically noise polluted data, the model updating results of a truss model prove robustness of the method against measurement and mass modelling errors. Results prove the capabilities of the method for parameter estimation using highly noise polluted data of low ranges of excitation frequency.

Robustness of Minimum Disparity Estimators in Linear Regression Models

  • Pak, Ro-Jin
    • Journal of the Korean Statistical Society
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    • v.24 no.2
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    • pp.349-360
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    • 1995
  • This paper deals with the robustness properties of the minimum disparity estimation in linear regression models. The estimators defined as statistical quantities whcih minimize the blended weight Hellinger distance between a weighted kernel density estimator of the residuals and a smoothed model density of the residuals. It is shown that if the weights of the density estimator are appropriately chosen, the estimates of the regression parameters are robust.

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Minimum Density Power Divergence Estimation for Normal-Exponential Distribution (정규-지수분포에 대한 최소밀도함수승간격 추정법)

  • Pak, Ro Jin
    • The Korean Journal of Applied Statistics
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    • v.27 no.3
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    • pp.397-406
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    • 2014
  • The minimum density power divergence estimation has been a popular topic in the field of robust estimation for since Basu et al. (1988). The minimum density power divergence estimator has strong robustness properties with the little loss in asymptotic efficiency relative to the maximum likelihood estimator under model conditions. However, a limitation in applying this estimation method is the algebraic difficulty on an integral involved in an estimation function. This paper considers a minimum density power divergence estimation method with approximated divergence avoiding such difficulty. As an example, we consider the normal-exponential convolution model introduced by Bolstad (2004). The estimated divergence in this case is too complicated; consequently, a Laplace approximation is employed to obtain a manageable form. Simulations and an empirical study show that the minimum density power divergence estimators based on an approximated estimated divergence for the normal-exponential model perform adequately in terms of bias and efficiency.

A Semiparametric Estimation of the Contingent Valuation Model (조건부가치평가모형의 준모수 추정)

  • Park, Joo Heon
    • Environmental and Resource Economics Review
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    • v.12 no.4
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    • pp.545-557
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    • 2003
  • A new semiparametric estimator of a dichotomous choice contingent valuation model is proposed by adapting the well-known density weighted average derivative of the regression function. A small sample behavior of the estimator is demonstrated very briefly by a simulation and the estimator is applied to estimate the WTP for preserving the Dong River area in Korea.

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IMAGE DENOISING BASED ON MIXTURE DISTRIBUTIONS IN WAVELET DOMAIN

  • Bae, Byoung-Suk;Lee, Jong-In;Kang, Moon-Gi
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2009.01a
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    • pp.246-249
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    • 2009
  • Due to the additive white Gaussian noise (AWGN), images are often corrupted. In recent days, Bayesian estimation techniques to recover noisy images in the wavelet domain have been studied. The probability density function (PDF) of an image in wavelet domain can be described using highly-sharp head and long-tailed shapes. If a priori probability density function having the above properties would be applied well adaptively, better results could be obtained. There were some frequently proposed PDFs such as Gaussian, Laplace distributions, and so on. These functions model the wavelet coefficients satisfactorily and have its own of characteristics. In this paper, mixture distributions of Gaussian and Laplace distribution are proposed, which attempt to corporate these distributions' merits. Such mixture model will be used to remove the noise in images by adopting Maximum a Posteriori (MAP) estimation method. With respect to visual quality, numerical performance and computational complexity, the proposed technique gained better results.

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ASYMPTOTIC PROPERTIES OF THE CONDITIONAL HAZARD FUNCTION ESTIMATE BY THE LOCAL LINEAR METHOD FOR FUNCTIONAL ERGODIC DATA

  • MOHAMMED BASSOUDI;ABDERRAHMANE BELGUERNA;HAMZA DAOUDI;ZEYNEB LAALA
    • Journal of applied mathematics & informatics
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    • v.41 no.6
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    • pp.1341-1364
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    • 2023
  • This article introduces a method for estimating the conditional hazard function of a real-valued response variable based on a functional variable. The method uses local linear estimation of the conditional density and cumulative distribution function and is applied to a functional stationary ergodic process where the explanatory variable is in a semi-metric space and the response is a scalar value. We also examine the uniform almost complete convergence of this estimation technique.

Estimation on Unsaturated Hydraulic Conductivity Function of Jumoonjin Sand for Various Relative Densities (주문진 표준사의 상대밀도에 따른 불포화 투수계수함수 산정)

  • Song, Young-Suk
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.6
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    • pp.2369-2379
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    • 2013
  • The Soil-Water Characteristics Curve (SWCC) is affected by the initial density of soil under unsaturated condition. Also, the characteristic of hydraulic conductivity is changed by the initial density of soil. To study the effect of initial density of unsaturated soil, SWCC and the Hydraulic Conductivity Function (HCF) of Jumoonjin sand with various relative densities, 40%, 60% and 75% were measured in both drying and wetting processes. As the results of SWCC estimated by van Genuchten (1980) model, the parameter related to Air Entry Value(AEV), ${\alpha}$ in the wetting process is larger than that in drying process, but the parameters related to the SWCC slope, n and the residual water content, m are larger than those in wetting process. The AEV is increased or Water Entry Value (WEV) is decreased with increasing the relative density of sand. The AEV is larger than the WEV at the same relative density of sand. As the results of HCF estimated by van Genuchten (1980) model which is one of the parameter estimation methods, the unsaturated hydraulic conductivity maintained at a saturated one in the low level of matric suctions and then suddenly decreased just before the AEV or the WEV. The saturated hydraulic conductivity in drying process is larger than that in wetting process. The saturated hydraulic conductivity is decreased with increasing the relative density of sand in both drying and wetting processes. Also, the hysteresis in unsaturated HCFs between drying and wetting process was occurred like the hysteresis in SWCCs. According to the test results, the AEV on SWCC is decreased and the saturated hydraulic conductivity is increased with increasing the initial density. It means that SWCC and HCF are affected by the initial density in the unsaturated soil.

Estimation of ecological flow rate for Zacco platypus based on habitat suitability index considering probability density function (확률밀도함수를 고려한 서식처 적합도 지수에 의한 피라미 생태유량 산정)

  • Jang, Kyeung Ho;Park, Young Ki;Kang, Jae Il;Kim, Min Hwan
    • Journal of Korea Water Resources Association
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    • v.51 no.3
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    • pp.207-219
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    • 2018
  • In this study, the ecological flow rate of the Zacco playtypus habitat was simulated based on the Instream Flow Incremental Methodology (IFIM) in reachs of urban and natural stream using the habitat suitability index (HSI) of the probability density function (PDF). To apply this method, PHABSIM model was used in this study. However, in this study, the HSI of the probability density function was developed by adjusting the parameters of the PDF based on Kang (2010) HSI. As a result, the normal distribution is closest to the ecological flow rate of the Kang (2010) in the urban stream. However, the two-parameter log-pearson distribution tended to be the closest in the natural stream. The ecological flow rate was simulated by the HSI and the reach of stream with the PDF. Based on the comparison of simulation results, we propose an ecological flow rate estimation method using probabilistic method.