• Title/Summary/Keyword: parameter estimation methods

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Accuracy Measures of Empirical Bayes Estimator for Mean Rates

  • Jeong, Kwang-Mo
    • Communications for Statistical Applications and Methods
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    • v.17 no.6
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    • pp.845-852
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    • 2010
  • The outcomes of counts commonly occur in the area of disease mapping for mortality rates or disease rates. A Poisson distribution is usually assumed as a model of disease rates in conjunction with a gamma prior. The small area typically refers to a small geographical area or demographic group for which very little information is available from the sample surveys. Under this situation the model-based estimation is very popular, in which the auxiliary variables from various administrative sources are used. The empirical Bayes estimator under Poissongamma model has been considered with its accuracy measures. An accuracy measure using a bootstrap samples adjust the underestimation incurred by the posterior variance as an estimator of true mean squared error. We explain the suggested method through a practical dataset of hitters in baseball games. We also perform a Monte Carlo study to compare the accuracy measures of mean squared error.

A Piecewise Weibull Distribution in Reliability and its Estimation (신뢰성이론에서의 피스와이즈 와이블분포와 그 추정)

  • Jeong, Hai-Sung
    • Journal of Korean Society for Quality Management
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    • v.24 no.2
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    • pp.65-76
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    • 1996
  • In general, most industrial products exhibit bath-tub shaped curve for their failure rate functions. This distributional life model can be obtained by the Piecewise Weibull distribution. The least squares, maximum likelihood, and mixed methods of estimating the parameters of the Piecewise Weibull distribution are compared. The comparison is made by using the empirical mean squared errors of (a) the parameter estimates and (b) the estimated change-points, to summarize the results of 1000 simulated samples of three sizes - each 100, 150 and 200. The results are that the mixed method estimation comes to be the best as the sample sizes increase.

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Evaluation of combat calorie consumption based on GoBe2 nanosensor

  • Shuo Guan;Benxu Zou
    • Advances in nano research
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    • v.14 no.6
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    • pp.527-539
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    • 2023
  • Measuring energy burn during intensive combat sport has been a challenging concerns for a long time. In the present article, the energy consumption during combat sports is measured by use of wearable GoBe2 equipped with nanotechnology measuring devices. In this regard, 12 professional combat athletes were asked to wear GoBe2 devices during different sessions of intensive combat exercises. The curves provided by GoBe2 nano-sensor devices are further collected and analyzed for different combat durations. On the other hand, energy consumption in these athlete is calculated using other validated methods to evaluate reliability of GoBe2 wearable devices. Based on the results obtained from these experiments a multi-parameter mathematical model is presented for estimation of combat calorie consumptions. The results show that nanotechnology in these type of sensors could help in estimation of calorie consumption during combat. Moreover, the reliability of using wearable GoBe2 sensors are satisfactory except for some specific conditions. The mathematical model provides a satisfactory results based on athlete physical condition and also duration of the combat with about 8% error margin in the results.

Enhancing Underwater Images through Deep Curve Estimation (깊은 곡선 추정을 이용한 수중 영상 개선)

  • Muhammad Tariq Mahmood;Young Kyu Choi
    • Journal of the Semiconductor & Display Technology
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    • v.23 no.2
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    • pp.23-27
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    • 2024
  • Underwater images are typically degraded due to color distortion, light absorption, scattering, and noise from artificial light sources. Restoration of these images is an essential task in many underwater applications. In this paper, we propose a two-phase deep learning-based method, Underwater Deep Curve Estimation (UWDCE), designed to effectively enhance the quality of underwater images. The first phase involves a white balancing and color correction technique to compensate for color imbalances. The second phase introduces a novel deep learning model, UWDCE, to learn the mapping between the color-corrected image and its best-fitting curve parameter maps. The model operates iteratively, applying light-enhancement curves to achieve better contrast and maintain pixel values within a normalized range. The results demonstrate the effectiveness of our method, producing higher-quality images compared to state-of-the-art methods.

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Parameter Estimation in Debris Flow Deposition Model Using Pseudo Sample Neural Network (의사 샘플 신경망을 이용한 토석류 퇴적 모델의 파라미터 추정)

  • Heo, Gyeongyong;Lee, Chang-Woo;Park, Choong-Shik
    • Journal of the Korea Society of Computer and Information
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    • v.17 no.11
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    • pp.11-18
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    • 2012
  • Debris flow deposition model is a model to predict affected areas by debris flow and random walk model (RWM) was used to build the model. Although the model was proved to be effective in the prediction of affected areas, the model has several free parameters decided experimentally. There are several well-known methods to estimate parameters, however, they cannot be applied directly to the debris flow problem due to the small size of training data. In this paper, a modified neural network, called pseudo sample neural network (PSNN), was proposed to overcome the sample size problem. In the training phase, PSNN uses pseudo samples, which are generated using the existing samples. The pseudo samples smooth the solution space and reduce the probability of falling into a local optimum. As a result, PSNN can estimate parameter more robustly than traditional neural networks do. All of these can be proved through the experiments using artificial and real data sets.

Optimization Study for Material Properties of Piezoelectric Material Using Parameter Estimation Method: Part I. Polycrystal PZT Ceramics (매개변수 평가법을 이용한 압전재료의 재료물성 최적화 연구 Part I. 다결정 PZT 세라믹스)

  • Shin, Ho-Yong;Lee, Ho-Yong;Hong, Il-Gok;Kim, Jong-Ho;Im, Jong-In
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.35 no.5
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    • pp.471-479
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    • 2022
  • Recently, piezoelectric devices, such as ultrasonic surgery, ultrasonic atomizer, and ultrasonic speaker, are analyzed and designed by finite element simulation methods. However, the discrepancy between the design and the experiment results of the device typically occurs due to the inaccuracy of the piezoelectric material properties. To improve the simulation accuracy, the material properties of the PZT ceramics were better refined using parameter estimation method. The material parameters are elastic stiffness cEij and piezoelectric constant eij of PZT ceramics. The impedance curve characteristics for the LTE mode of PZT ceramics were calculated. The mismatch between the simulation and the experimental data were compared and minimized by a least square method. Finally, the simulated impedance data were compared with the experimental data for the various vibration modes of PZT ceramics and the optimized material properties of PZT ceramics were verified. To further verify the accuracy, this method was also applied to piezoelectric PMN-PT single crystals.

Modal parameter identification of tall buildings based on variational mode decomposition and energy separation

  • Kang Cai;Mingfeng Huang;Xiao Li;Haiwei Xu;Binbin Li;Chen Yang
    • Wind and Structures
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    • v.37 no.6
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    • pp.445-460
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    • 2023
  • Accurate estimation of modal parameters (i.e., natural frequency, damping ratio) of tall buildings is of great importance to their structural design, structural health monitoring, vibration control, and state assessment. Based on the combination of variational mode decomposition, smoothed discrete energy separation algorithm-1, and Half-cycle energy operator (VMD-SH), this paper presents a method for structural modal parameter estimation. The variational mode decomposition is proved to be effective and reliable for decomposing the mixed-signal with low frequencies and damping ratios, and the validity of both smoothed discrete energy separation algorithm-1 and Half-cycle energy operator in the modal identification of a single modal system is verified. By incorporating these techniques, the VMD-SH method is able to accurately identify and extract the various modes present in a signal, providing improved insights into its underlying structure and behavior. Subsequently, a numerical study of a four-story frame structure is conducted using the Newmark-β method, and it is found that the relative errors of natural frequency and damping ratio estimated by the presented method are much smaller than those by traditional methods, validating the effectiveness and accuracy of the combined method for the modal identification of the multi-modal system. Furthermore, the presented method is employed to estimate modal parameters of a full-scale tall building utilizing acceleration responses. The identified results verify the applicability and accuracy of the presented VMD-SH method in field measurements. The study demonstrates the effectiveness and robustness of the proposed VMD-SH method in accurately estimating modal parameters of tall buildings from acceleration response data.

Public Transportation Alighting Estimation Method Using Smart Card Data (교통카드데이터를 활용한 하차정류장 추정 방법론 연구)

  • Kim, Kyoungtae;Lee, Inmook
    • Journal of the Korean Society for Railway
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    • v.20 no.5
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    • pp.692-702
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    • 2017
  • Recently, there has been a growing interest in using smart card data. However, there are restrictions on the utilization of data in many areas outside the Seoul metropolitan area because the data does not contain alighting information. This paper presents a methodology for estimating alighting stops of smart card data. Estimation results were verified by smart card data from Seoul and Gwangju. The estimation rates were 78.2% and 81.6% in Seoul and Gwangju, respectively. The matching accuracy was 54.2% and 33.4%, respectively. However, if up to two stops of error are allowed, the accuracy values were 93.6% and 94.0%, respectively. We also discussed changes in estimation results due to adjusting the allowable walking distance, which is a key parameter of trip chaining methods. As the allowable walking distance increases, the estimation rate increases, while the accuracy decreases, and it is found that the estimation results change by around 500m.

Comparative Analysis of Parameter Estimation Methods in Estimation of Spatial Distribution of Probability Rainfall (확률강우량의 공간분포추정에 있어서 매개변수 추정기법의 비교분석)

  • Seo, Young-Min;Yeo, Woon-Ki;Jee, Hong-Kee
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.413-413
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    • 2011
  • 강우의 공간분포에 대한 신뢰성 있는 추정은 수자원 해석 및 설계에 있어서 필수적인 요소이다. 강우장의 공간변동성에 대한 고해상도 추정은 홍수, 특히 돌발홍수의 원인이 되는 국지성 호우의 확인 및 분석에 있어서 중요하다. 또한 강우의 공간 변동성에 대한 고려는 면적평균강우량 추정의 정확도를 향상시키는데 있어서 중요하며, 강우-유출모델의 모의결과에 대한 신뢰도를 향상시키는데 큰 영향을 미친다. 최근 공간자료에 대한 공간분포예측에 있어서 공간상관성을 고려할 수 있는 공간통계학적 기법의 적용이 증가하고 있으며, 이러한 공간통계학적 기법의 적용에 있어서 신뢰성 있는 모델 매개변수의 추정 및 불확실성 평가는 공간분포 예측결과에 대한 신뢰성을 향상시키는데 중요한 역할을 한다. 외국의 경우 공간분포예측 및 모의, 매개변수의 불확실성 평가 등과 관련하여 활발한 연구가 이루어지고 있는 반면 국내 수자원 분야에서는 아직까지 활발한 연구가 이루어지고 있지 않은 실정이다. 따라서 본 연구에서는 계층구조로 구성된 가우시안 공간선형혼합모델을 적용하여 확률강우량의 공간분포를 추정함에 있어서 모델 매개변수에 대한 추정기법을 비교하였으며, 매개변수 추정기법으로서 경험베리오그램에 대한 곡선적합기법인 보통최소제곱법 및 가중최소제곱법, 우도함수를 기반으로 하는 최우도법 및 REML과 같은 기존의 매개변수 추정기법들과 최근 공간통계학 분야에서 적용이 증가하고 있는 Bayesian 기법을 비교하였다. 이로부터 매개변수 추정기법 간의 매개변수 추정치에 대한 정량적 비교결과를 제시하였으며, Bayesian 기법의 적용을 통해 매개변수에 대한 불확실성 추정결과를 제시하였다. 이러한 결과들은 확률강우량의 공간분포 추정에 있어서 공간예측모델의 매개변수 추정 및 예측에 대한 신뢰성을 향상시킬 수 있는 기초자료로 활용될 수 있을 것이다.

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A Study on Frequency Domain Fatigue Damage Prediction Models for Wide-Banded Bimodal Stress Range Spectra (광대역 이봉형 응력 범위 스펙트럼에 대한 주파수 영역 피로 손상 평가 모델에 대한 연구)

  • Park, Jun-Bum;Kang, Chan-Hoe;Kim, Kyung-Su;Choung, Joon-Mo;Yoo, Chang-Hyuk
    • Journal of the Society of Naval Architects of Korea
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    • v.48 no.4
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    • pp.299-307
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    • 2011
  • The offshore plants such as FPSO are subjected to combination loading of environmental conditions (swell, wave, wind and current). Therefore the fatigue damage is occurred in the operation time because the units encounter the environmental phenomena and the structural configurations are complicated. This paper is a research for frequency domain fatigue analysis of wide-band random loading focused on accuracy of fatigue damage estimation regarding the proposed methods. We selected ideal bi-modal spectrum. And comparison between time-domain fatigue analysis and frequency-domain fatigue analyses are conducted through the fatigue damage ratio. Fatigue damage ratios according to Vanmarcke's bandwidth parameter are founded for wide-band. Considering safety, we recommend that Jiao-Moan and Tovo-Benasciutti methods are optimal way at the fatigue design for wide-band response. But, it is important that these methods based on frequency-domain unstably change the accuracy according to the material parameter of S-N curve. This study will be background and guidance for the new frequency-domain fatigue analysis development in the future.