• Title/Summary/Keyword: Real variance

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Real variance estimation in iDTMC-based depletion analysis

  • Inyup Kim;Yonghee Kim
    • Nuclear Engineering and Technology
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    • v.55 no.11
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    • pp.4228-4237
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    • 2023
  • The Improved Deterministic Truncation of Monte Carlo (iDTMC) is a powerful acceleration and variance reduction scheme in the Monte Carlo analysis. The concept of the iDTMC method and correlated sampling-based real variance estimation are briefly introduced. Moreover, the application of the iterative scheme to the correlated sampling is discussed. The iDTMC method is utilized in a 3-dimensional small modular reactor (SMR) model problem. The real variances of burnup-dependent criticality and power distribution are evaluated and compared with the ones obtained from 30 independent iDTMC calculations. The impact of the inactive cycles on the correlated sampling is also evaluated to investigate the consistency of the correlated sample scheme. In addition, numerical performances and sensitivity analysis on the real variance estimation are performed in view of the figure of merit of the iDTMC method. The numerical results show that the correlated sampling accurately estimates the real variances with high computational efficiencies.

A new approach to determine batch size for the batch method in the Monte Carlo Eigenvalue calculation

  • Lee, Jae Yong;Kim, Do Hyun;Yim, Che Wook;Kim, Jae Chang;Kim, Jong Kyung
    • Nuclear Engineering and Technology
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    • v.51 no.4
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    • pp.954-962
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    • 2019
  • It is well known that the variance of tally is biased in a Monte Carlo calculation based on the power iteration method. Several studies have been conducted to estimate the real variance. Among them, the batch method, which was proposed by Gelbard and Prael, has been utilized actively in many Monte Carlo codes because the method is straightforward, and it is easy to implement the method in the codes. However, there is a problem when utilizing the batch method because the estimated variance varies depending on batch size. Often, the appropriate batch size is not realized before the completion of several Monte Carlo calculations. This study recognizes this shortcoming and addresses it by permitting selection of an appropriate batch size.

A Technique of Parameter Identification via Mean Value and Variance and Its Application to Course Changes of a Ship

  • Hane, Fuyuki;Masuzawa, Isao
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.153-156
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    • 1999
  • The technique is reported of identifying parameters in off-line process. The technique demands that closed-loop system consists of a reference and two-degree-of-freedom controllers (TDFC) in real process. A model process is the same as the real process except their parameters. Deviations are differences between the reference and the output of the plant or the model. The technique is based on minimizing identification error between the two deviations. The parameter differences between the plant and the model are characterized of mean value and of variance which are derived from the identification error. Consequently, the algorithm which identifies the unknown plant parameters is shown by minimizing the mean value and the variance, respectively, within double convergence loops. The technique is applied to course change of a ship. The plant deviation at the first trial is shown to occur in replacing the nominal parameters by the default parameters. The plant deviation at the second trial is shown to not occur in replacing the nominal parameters by the identified parameters. Hence, the identification technique is confirmed to be feasible in the real field.

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Changes in Real Exchange Rate and Business Fluctuations: A Comparative Study of Korea and Japan (실질환율변동의 경기변동효과: 한국과 일본의 비교연구)

  • Kwak, Tae Woon
    • International Area Studies Review
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    • v.13 no.3
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    • pp.309-330
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    • 2009
  • This paper analyzes comparatively the effects of changes in real effective exchange rates on the business fluctuations of the cases of Korea and Japan employing structural vector auto-regression(S-VAR) model which uses quarterly data for the five variables of real effective exchange rates, GDP gap, real interest rates, oil prices, inflation rates for the period of 1980-2006. The paper employes impulse-response analysis and variance decompositions. The paper finds that real exchange rate depreciations are contractionay for the case of Korea while they are expansionary for the case of Japan. These results are consistent with the prevailing empirical results that real exchange rate depreciations are contractionary for developing countries while expansionary for advanced countries.

NOISE VARIANCE ESTIMATION OF SAR IMAGE IN LOG DOMAIN

  • Chitwong S.;Minhayenud S.;Intajag S.;Cheevasuvit F.
    • Proceedings of the KSRS Conference
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    • 2004.10a
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    • pp.574-576
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    • 2004
  • Since variance of noise is important parameter for a noise filter to reduce noise in image and the performance of noise filter is dependent on estimated variance. In this paper, we apply additive noise variance estimation method to estimate variance of speckle noise of synthetic aperture radar (SAR) imagery. Generally, speckle noise is in multiplicative model, logarithmic transformation is then used to transform multiplicative model into additive model. Here, speckle noise is generally modeled as Gamma distribution function with different looks. The additive noise variance estimation is processed in log domain. The synthesis image and real image of SAR are implemented to test and confirm results and show that more accurate estimation can be achieved.

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A design of controller for robust servomechanism using LQG/LTR method (LQG/LTR 방법을 이용한 강인한 서어보메커니즘의 제어기 설계)

  • 최중락;이장규
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.483-487
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    • 1986
  • The LQG/LTR method is applied to the real servomechanism with the unknown modeling error and system noise variance Q$_{2}$. The equivalent discretized LQG controller is implemented on the 16-bit microcomputer and the experimental results show the improved stability and the satisfactory performance when the noise variance Q$_{2}$ is increased infinitly.

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Interrelationship of phase-error variance and correlation coefficient in microwave imaging (마이크로웨이브 이미징에서 위상오차 분산과 코릴레이션 계수와의 상호관계)

  • 강봉순;장훈기
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.10
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    • pp.1-6
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    • 1997
  • This paper presents the theoretical derivaion relating and image correlationcoeffcient capable of assessing image quality, with phase-error variance in antenna aperture domain. We show that when the phase-error variance of a range bin selected as an adaptive beamformer is known, the quality of the reconstructed image is predictable and moreover, the resultant correlation coeffcient is obviously greater than the derive dlower boudn. To support the derivation, real data are used for image formation where the dominant scatterer algorithm (DSA) is applied for phase compensations.

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Bayesian Analysis for the Error Variance in a Two-Way Mixed-Effects ANOVA Model Using Noninformative Priors (무정보 사전분포를 이용한 이원배치 혼합효과 분산분석모형에서 오차분산에 대한 베이지안 분석)

  • 장인홍;김병휘
    • The Korean Journal of Applied Statistics
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    • v.15 no.2
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    • pp.405-414
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    • 2002
  • We consider the problem of estimating the error variance of in a two-way mixed-effects ANOVA model using noninformative priors. First, we derive Jeffreys' prior, a reference prior, and matching priors. We then provide marginal posterior distributions under those noninformative priors. Finally, we provide graphs of marginal posterior densities of the error variance and credible intervals for the error variance in two real data set and compare these credible intervals.

Variance Estimation for Imputed Survey Data using Balanced Repeated Replication Method

  • Lee, Jun-Suk;Hong, Tae-Kyong;Namkung, Pyong
    • Communications for Statistical Applications and Methods
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    • v.12 no.2
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    • pp.365-379
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    • 2005
  • Balanced Repeated Replication(BRR) is widely used to estimate the variance of linear or nonlinear estimators from complex sampling surveys. Most of survey data sets include imputed missing values and treat the imputed values as observed data. But applying the standard BRR variance estimation formula for imputed data does not produce valid variance estimators. Shao, Chen and Chen(1998) proposed an adjusted BRR method by adjusting the imputed data to produce more accurate variance estimators. In this paper, another adjusted BRR method is proposed with examples of real data.

Discontinuous log-variance function estimation with log-residuals adjusted by an estimator of jump size (점프크기추정량에 의한 수정된 로그잔차를 이용한 불연속 로그분산함수의 추정)

  • Hong, Hyeseon;Huh, Jib
    • The Korean Journal of Applied Statistics
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    • v.30 no.2
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    • pp.259-269
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    • 2017
  • Due to the nonnegativity of variance, most of nonparametric estimations of discontinuous variance function have used the Nadaraya-Watson estimation with residuals. By the modification of Chen et al. (2009) and Yu and Jones (2004), Huh (2014, 2016a) proposed the estimators of the log-variance function instead of the variance function using the local linear estimator which has no boundary effect. Huh (2016b) estimated the variance function using the adjusted squared residuals by the estimated jump size in the discontinuous variance function. In this paper, we propose an estimator of the discontinuous log-variance function using the local linear estimator with the adjusted log-squared residuals by the estimated jump size of log-variance function like Huh (2016b). The numerical work demonstrates the performance of the proposed method with simulated and real examples.