• Title/Summary/Keyword: derivative models

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Objective Bayesian inference based on upper record values from Rayleigh distribution

  • Seo, Jung In;Kim, Yongku
    • Communications for Statistical Applications and Methods
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    • v.25 no.4
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    • pp.411-430
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    • 2018
  • The Bayesian approach is a suitable alternative in constructing appropriate models for observed record values because the number of these values is small. This paper provides an objective Bayesian analysis method for upper record values arising from the Rayleigh distribution. For the objective Bayesian analysis, the Fisher information matrix for unknown parameters is derived in terms of the second derivative of the log-likelihood function by using Leibniz's rule; subsequently, objective priors are provided, resulting in proper posterior distributions. We examine if these priors are the PMPs. In a simulation study, inference results under the provided priors are compared through Monte Carlo simulations. Through real data analysis, we reveal a limitation of the appropriate confidence interval based on the maximum likelihood estimator for the scale parameter and evaluate the models under the provided priors.

The Prediction of Solvent Mutual Diffusion Coefficient Using Vrentas-Duda's Self Diffusion Theory (Vrentas-Duda의 자기확산이론을 이용한 용매의 상호확산계수 예측)

  • 김종수;이광래;김기창
    • Membrane Journal
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    • v.10 no.1
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    • pp.19-29
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    • 2000
  • To estimatc mutual diffusion coefficient for the analysis of mass transfer phenomena in polymer/solvent system, two models are proposed and the equations are derived. The estimates of mutual diffusion coefficients are obtained by two models suggested in this work and compared with and experimental data and Vrentas-Duda's. Vrentas-Duda's self diffusion coefficient was used for the mutual diffusion coefficient. Derivative of chemical potential on solvent was derived and used using original UNIFAC-FV and modified UNIFAC-FV. However, Vrentas-Duda's equation for mutual diffusion coefficient contains Flory-Huggins parameter x. For the derivative of chemical potential term, Vrentas-Duda assumed that parameter x was constant and independent of temperatures and concentrations The assumption is one of shortcoming in vrentas-Duda's mutual diffusion coefficient. New methods proposed in this work do not have such assumptions and simplifications. For the solvent of cyclohexane, n-pentane, and n-hexane in PIB(polyisolbutylene) and PMS-BR (poly(p-methylstyrene-co-isobutylene), new methods well correlate the experimental data at various temperatures and concentrations, and predicted the experimental data much better than Vrentas-Duda's for the PIB/toluene system. It is shown that new methods are excellent tools for correlating mutual diffusion coefficient data in polymer/solvent system over wide ranges of temperature and concentration without any assumptions or simplifications.

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A Study on the Influence of Mathematical Models of Manoeuvrability on the Simulation of Ship Berthing Operation (선박의 접안 시뮬레이션에서 조종수학모델의 영향에 관한 고찰)

  • Chung, Kwang Sic;Lee, Seung-Keon;Jeong, Jae-Hun
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2014.06a
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    • pp.15-16
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    • 2014
  • As trade cross the world is increasing these days, safe and effective management of harbour system is becoming important issue. With this background, the development of automatic time-domain simulation programme for ship berthing operation has been being peformed and PD (Proportional Derivative) controller has been used to control the speed and the heading angle of ships. This paper provides feasibility study for developing the time-domain simulation programme for berthing operation of ships with analysing advantages and drawbacks of the two different mathematical models, one is for low advance speed of ships by Kose (1984) and the other is MMG model for normal advance speed, through the simulations with various initial heading angles and positions of the ship.

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Hyperspectral Imaging and Partial Least Square Discriminant Analysis for Geographical Origin Discrimination of White Rice

  • Mo, Changyeun;Lim, Jongguk;Kwon, Sung Won;Lim, Dong Kyu;Kim, Moon S.;Kim, Giyoung;Kang, Jungsook;Kwon, Kyung-Do;Cho, Byoung-Kwan
    • Journal of Biosystems Engineering
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    • v.42 no.4
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    • pp.293-300
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    • 2017
  • Purpose: This study aims to propose a method for fast geographical origin discrimination between domestic and imported rice using a visible/near-infrared (VNIR) hyperspectral imaging technique. Methods: Hyperspectral reflectance images of South Korean and Chinese rice samples were obtained in the range of 400 nm to 1000 nm. Partial least square discriminant analysis (PLS-DA) models were developed and applied to the acquired images to determine the geographical origin of the rice samples. Results: The optimal pixel dimensions and spectral pretreatment conditions for the hyperspectral images were identified to improve the discrimination accuracy. The results revealed that the highest accuracy was achieved when the hyperspectral image's pixel dimension was $3.0mm{\times}3.0mm$. Furthermore, the geographical origin discrimination models achieved a discrimination accuracy of over 99.99% upon application of a first-order derivative, second-order derivative, maximum normalization, or baseline pretreatment. Conclusions: The results demonstrated that the VNIR hyperspectral imaging technique can be used to discriminate geographical origins of rice.

Comparative Analysis between Mathematical Models for Normal and Low advance speeds of ships on Automatic Time-Domain Simulation of Berthing Operation (선박 정박과정의 시간변위 자동 시뮬레이션을 통한 일반 및 저속 수학모델의 비교 분석)

  • Chung, Kwang Sic;Jung, Jin-Woo;Kim, In Gyu;Lee, Seung-Keon
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2013.06a
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    • pp.299-300
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    • 2013
  • In this study, the time-domain simulations have been performed for analysing the ship behaviour during berthing process with comparing the two different mathematical models for low and normal advance speed of a ship and the results have been presented. For the first step of programming, the traditional PD (Proportional Derivative) controller has been used for the control of speed and rudder and a tanker ship has been used as a simulation model. This study provides comparative results on the time-domain simulation of berthing operation of a ship for developing an effective simulation programme.

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Inhibitory Effects of Tumor Metastasis by Chitosan Derivative, of Sulfated N-acetyl Chitosan (키토산 유도체인 Sulfated N-acetyl Chitosan의 종양전이 억제효과)

  • 류병호;김동석필립그린스판
    • KSBB Journal
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    • v.10 no.5
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    • pp.525-532
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    • 1995
  • Chitosan derivative, of a sulfated N-acetyl chitosan was synthesized, and the inhibitory effects of this compound on the experimental and spontaneous lung metastallc B16/BL6 melanoma bearing mice were investigated. Position of substitution with sulfate in water-soluble sulfated derivatives of chitosan were analysed by 13C-nmr. The structure of N-acetyl chitosan 3,6 0-disulfate were confirmed. The tumor growth inhibition of B16/BL6 melanoma cells has been shown at the highest level of 77.6% when sulfated N-acetyl chitosan were administered at the dose of 100mg/kg. In the lung metastasls, the sulfated N-atetyl chitosan was administered to C57BL/6B mice bearing B16/BL6 melanoma cells by I.V. injection and the number of metastasis foci of melanoma were decreased by the dose dependent manner ranging from 20 to 100mg/kg. In the spontaneous metastasis, I.V. administrations of sulfated N-acetyl chitosan after tumor inoculation resulted in marked reduction of metastatic colonies. A sulfated N-acetyl chitosan was able to partially inhibit the tumor cell adhesion by migration to laminin. These results suggested that chitosan derivative, a sulfated N-acetyl chitoasn was able to inhibit to the experimental and spontaneous metastasis models as well as cell adhesion ability.

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Analysis of Congestion Tolls Using the Land Use-Transportation Model When Toll Revenues Are Recycled (세수 재순환과 토지이용-교통모형을 이용한 혼잡통행료 분석방법론)

  • Rhee, Hyok-Joo
    • Journal of Korean Society of Transportation
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    • v.32 no.4
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    • pp.357-368
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    • 2014
  • So far, land use-transportation models have been used exclusively for numerical analysis. A recent theoretical endeavor now enables us to derive the first-order derivative of the model's welfare function with respect to policy variables. I extend this methodology into the institutional setting where toll revenues are recycled through labor income tax. In this setting, the first-order derivative is composed of (1) the increase in welfare due to reduced congestion, and (2) the decrease in welfare due to interaction with the existing labor income tax. This result coincides with existing theory in the non-spatial model.

OPTIMAL SHAPE DESIGN OF A S-SHAPED SUBSONIC INTAKE USING NURBS (NURBS를 이용한 S형 천음속 흡입관 최적 설계)

  • Lee B.J.;Kim C.
    • Journal of computational fluids engineering
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    • v.11 no.1 s.32
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    • pp.57-66
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    • 2006
  • An optimal shape design approach is presented for a subsonic S-shaped intake using aerodynamic sensitivity analysis. Two-equation turbulence model is employed to capture strong counter vortices in the S-shaped duct more precisely. Sensitivity analysis is performed for the three-dimensional Navier-Stokes equations coupled with two-equation turbulence models using a discrete adjoint method For code validation, the result of the flow solver is compared with experiment data and other computational results of bench marking test. To study the influence oj turbulence models and grid refinement on the duct flow analysis, the results from several turbulence models are compared with one another and the minimum number of grid points, which can yield an accurate solution is investigated The adjoint variable code is validated by comparing the complex step derivative results. To realize a sufficient and flexible design space, NURBS equations are introduced as a geometric representation and a new grid modification technique, Least Square NURBS Grid Approximation is applied With the verified flow solver, the sensitivity analysis code and the geometric modification technique, the optimization of S-shaped intake is carried out and the enhancement of overall intake performance is achieved The designed S-shaped duct is tested in several off-design conditions to confirm the robustness of the current design approach. As a result, the capability and the efficiency of the present design tools are successfully demonstrated in three-dimensional highly turbulent internal flow design and off-design conditions.

Determination of Nitrogen in Fresh and Dry Leaf of Apple by Near Infrared Technology (근적외 분석법을 응용한 사과의 생잎과 건조잎의 질소분석)

  • Zhang, Guang-Cai;Seo, Sang-Hyun;Kang, Yeon-Bok;Han, Xiao-Ri;Park, Woo-Churl
    • Korean Journal of Soil Science and Fertilizer
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    • v.37 no.4
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    • pp.259-265
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    • 2004
  • A quicker method was developed for foliar analysis in diagnosis of nitrogen in apple trees based on multivariate calibration procedure using partial least squares regression (PLSR) and principal component regression (PCR) to establish the relationship between reflectance spectra in the near infrared region and nitrogen content of fresh- and dry-leaf. Several spectral pre-processing methods such as smoothing, mean normalization, multiplicative scatter correction (MSC) and derivatives were used to improve the robustness and performance of the calibration models. Norris first derivative with a seven point segment and a gap of six points on MSC gave the best result of partial least squares-1 PLS-1) model for dry-leaf samples with root mean square error of prediction (RMSEP) equal to $0.699g\;kg^{-1}$, and that the Savitzky-Golay first derivate with a seven point convolution and a quadratic polynomial on MSC gave the best results of PLS-1 model for fresh-samples with RMSEP of $1.202g\;kg^{-1}$. The best PCR model was obtained with Savitzky-Golay first derivative using a seven point convolution and a quadratic polynomial on mean normalization for dry leaf samples with RMSEP of $0.553g\;kg^{-1}$, and obtained with the Savitzky-Golay first derivate using a seven point convolution and a quadratic polynomial for fresh samples with RMSEP of $1.047g\;kg^{-1}$. The results indicate that nitrogen can be determined by the near infrared reflectance (NIR) technology for fresh- and dry-leaf of apple.

Emotion recognition in speech using hidden Markov model (은닉 마르코프 모델을 이용한 음성에서의 감정인식)

  • 김성일;정현열
    • Journal of the Institute of Convergence Signal Processing
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    • v.3 no.3
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    • pp.21-26
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    • 2002
  • This paper presents the new approach of identifying human emotional states such as anger, happiness, normal, sadness, or surprise. This is accomplished by using discrete duration continuous hidden Markov models(DDCHMM). For this, the emotional feature parameters are first defined from input speech signals. In this study, we used prosodic parameters such as pitch signals, energy, and their each derivative, which were then trained by HMM for recognition. Speaker adapted emotional models based on maximum a posteriori(MAP) estimation were also considered for speaker adaptation. As results, the simulation performance showed that the recognition rates of vocal emotion gradually increased with an increase of adaptation sample number.

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