• Title/Summary/Keyword: Non-mixture

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Statistical Inference in Non-Identifiable and Singular Statistical Models

  • Amari, Shun-ichi;Amari, Shun-ichi;Tomoko Ozeki
    • Journal of the Korean Statistical Society
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    • v.30 no.2
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    • pp.179-192
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    • 2001
  • When a statistical model has a hierarchical structure such as multilayer perceptrons in neural networks or Gaussian mixture density representation, the model includes distribution with unidentifiable parameters when the structure becomes redundant. Since the exact structure is unknown, we need to carry out statistical estimation or learning of parameters in such a model. From the geometrical point of view, distributions specified by unidentifiable parameters become a singular point in the parameter space. The problem has been remarked in many statistical models, and strange behaviors of the likelihood ratio statistics, when the null hypothesis is at a singular point, have been analyzed so far. The present paper studies asymptotic behaviors of the maximum likelihood estimator and the Bayesian predictive estimator, by using a simple cone model, and show that they are completely different from regular statistical models where the Cramer-Rao paradigm holds. At singularities, the Fisher information metric degenerates, implying that the cramer-Rao paradigm does no more hold, and that he classical model selection theory such as AIC and MDL cannot be applied. This paper is a first step to establish a new theory for analyzing the accuracy of estimation or learning at around singularities.

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Property and Microstructure Evolution of Nickel Silicides for Poly-silicon Gates (게이트를 상정한 니켈 실리사이드 박막의 물성과 미세구조 변화)

  • Jung Youngsoon;Song Ohsung;Kim Sangyoeb;Choi Yongyun;Kim Chongjun
    • Korean Journal of Materials Research
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    • v.15 no.5
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    • pp.301-305
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    • 2005
  • We fabricated nickel silicide layers on whole non-patterned wafers from $p-Si(100)SiO_2(200nm)$/poly-Si(70 nm)mn(40 nm) structure by 40 sec rapid thermal annealing of $500\~900^{\circ}C$. The sheet resistance, cross-sectional microstructure, surface roughness, and phase analysis were investigated by a four point probe, a field emission scanning electron microscope, a scanning probe microscope, and an X-ray diffractometer, respectively. Sheet resistance was as small as $7\Omega/sq$. even at the elevated temperature of $900^{\circ}C$. The silicide thickness and surface roughness increased as silicidation temperature increased. We confirmed the nickel silicides iron thin nickel/poly-silicon structures would be a mixture of NiSi and $NiSi_2$ even at the $NiSi_2$ stable temperature region.

Development and Stability Evaluation of Enteric Coated Diclofenac Sodium Tablets Using AquaPolish E.

  • Zaid, A.N.;Fadda, A.M.;Nator, S.;Qaddumi, A.
    • Journal of Pharmaceutical Investigation
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    • v.41 no.4
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    • pp.211-215
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    • 2011
  • The aim of this study was to develop a stable enteric coated diclofenac sodium (DFS) tablets using Aqua-Polish E without using a subcoat. DFS uncoated tablets were manufactured through the non direct compression process. AquaPolish E white aqueous coating dispersion was used as enteric coating material. This film forming polymer is a mixture of selected polymethacrylic/ethylacrylate copolymers. The stability of the obtained enteric coated tablets was evaluated according to ICH guidelines. No signs of disintegration or cracking was observed when they placed in 0.1N HCl solution (pH1.2), but they were completely disintegrated within 10 minutes when they placed in buffered solution at pH6.8. Dissolution test was also conducted by placing tablets in 0.1 N HCl for 2 hours and then 1 hour in phosphate buffer at pH 6.8. Less than 0.9 % of drug was released in the acidic phase and up to 97% in the basic medium. These findings suggest that aqueous enteric coating with AquaPolish E system is an easy and economical approach for preparing stable DFS enteric coat without the use of a subcoating layer.

Human Health Risk Assessment Strategy to Evaluate Non-carcinogenic Adverse Health Effect from Total Petroleum Hydrocarbon at POL-Contaminated Sites in Korea (국내 유류오염지역에서의 석유계총탄화수소에 의한 비발암 인체위해성평가 전략)

  • Park, In-Sun;Park, Jae-Woo
    • Journal of Soil and Groundwater Environment
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    • v.16 no.4
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    • pp.10-22
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    • 2011
  • Human health risk assessment for petroleum, oil and lubricant (POL) contaminated sites is challenging as total petroleum hydrocarbon (TPH) is not a single compound but rather a mixture of numerous substances. To address this concern, several TPH fractionation approaches have been proposed and used as an effective management tool for the POL-contaminated sites in many countries. In Korea, there are also recognized needs to establish a reliable and cost-effective human health risk assessment strategy based on the TPH fractionation method. In order to satisfy the social and institutional demand, this study suggested that the comprehensive risk assessment strategy based on a newly modified TPH fractionation method with 10 fractions, the Korean Standard Test Method (KSTM)-based analytical protocol and a stepwise risk assessment framework should be introduced into the domestic contaminated land management system. Under the proposed strategy, POL-contaminated sites can be effectively managed in terms of human health protection, and remedial cost and time can be determined reasonably. In addition, more researches required to increase our understanding of environmental risks and improve the domestic management system were proposed.

AROC Curve and Optimal Threshold (AROC 곡선과 최적분류점)

  • Hong, Chong-Sun;Lee, Hee-Jung
    • The Korean Journal of Applied Statistics
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    • v.24 no.1
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    • pp.185-191
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    • 2011
  • In the credit evaluation study with the assumption of mixture distributions, the ROC curve is a useful method to explore the discriminatory power of default and non-default borrowers. The AROC curve is an adjusted ROC curve that can be identified with the corresponding score and is mathematically analyzed in this work. We obtain patterns of this curve by applying normal distributions. Moreover, the relationship between the AROC curve and many classification accuracy statistics are explored to find the optimal threshold. In the case of equivalent variances of two distributions, we obtain that the local minimum of the AROC curve is estimated at the optimal threshold to maximize certain classification accuracies.

The Effect of Enhancers on the Penetration of Clenbuterol through Hairless Mouse Skin (클렌부테롤의 피부투과에 미치는 경피흡수촉진제의 영향)

  • Choi, Han-Gon;Rhee, Jong-Dal;Yu, Bong-Kyu;Yong, Chul-Soon
    • Journal of Pharmaceutical Investigation
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    • v.33 no.1
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    • pp.29-36
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    • 2003
  • Clenbuterol, a selective ${\beta}_2-adrenergic$ receptor stimulant, has been introduced as a potent bronchodilator for patients with bronchial asthma, chronic obstructive bronchial disease, chronic bronchitis and pulmonary emphysema. The percutaneous permeation of clenbuterol was investigated in hairless mouse skin after application of 50/50 buffer(pH 10)/propylene glycol solvent mixture. The enhancing effects of various penetration enhancers such as terpenes, non-ionic surfactants, pyrrolidones, fatty acids and some other enhancers on the permeation of clenbuterol were evaluated using Franz diffusion cell. Among terpenes studied, 1,8-cineole was the most effective enhancer, which increased the permeability of clenbuterol approximately 39.33-fold compared with the control without penetration enhancer, followed by menthone with enhancement ratio of 23.57. Nonionic surfactants did not have significant enhancing effects. N-Lauryl-2-pyrrolidone increased the permeability of clenbuterol approximately 4.51-fold compared with the control. Lauric acid increased the permeability of clenbuterol approximately 35.57-fold with decreasing the lag time from 2.64 to 0.52 hr. Oleic acid, linoleic acid, linolenic acid and capric acid showed enhancement ratio of 22.62, 19.60, 17.45 and 16.51, respectively. $Labrafil^{\circledR}$ enhanced the permeability of clenbuterol 9.24-fold compared with that without enhancer.

The Study on the Sericin Fixation by Formalin and Glutaraldehyde Mixture (Formalin과 Glutaraldehyde 혼합 처리에 의한 세리신정착)

  • 배도규
    • Journal of Sericultural and Entomological Science
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    • v.36 no.2
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    • pp.152-156
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    • 1994
  • The sericin fixation of raw silk by formalin and glutaraldehyde mixed solutions was done and the effect of sericin fixtion by various conditions on degumming ratio, whiteness and physical properties was investigated and discusse. The obtained results were summarized as follows ; The sericin fixation by 1% formalin solution and upward, regardlles the concentration of glutaraldehyde solution, improved the whitenes of raw silk to 96% level of non fixed raw silk. The decrease of whiteness by degumming was prevented effectively by treatment of formalin and glutaraldehyde mixed solutions. The complete sericin fixation was obtained by the treatment of mixed solution including above 0.5% formalin solution. The proper treatment of sericin fixation can make increase the values of tenacity and elongation of silk.

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Dry Etching Characteristics of Indium Zinc Oxide Thin Films in Adaptive Coupled Plasma

  • Woo, Jong-Chang;Choi, Chang-Auck;Kim, Chang-Il
    • Transactions on Electrical and Electronic Materials
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    • v.14 no.4
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    • pp.216-220
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    • 2013
  • The etching characteristics of indium zinc oxide (IZO) in $Cl_2/Ar$ plasma were investigated, including the etch rate and selectivity of IZO. The IZO etch rate showed non-monotonic behavior with increasing $Cl_2$ fraction in the $Cl_2/Ar$ plasma, and with increasing source power, bias power, and process pressure. In the $Cl_2/Ar$ (75:25%) gas mixture, a maximum IZO etch rate of 87.6 nm/min and etch selectivity of 1.09 for IZO to $SiO_2$ were obtained. Owing to the relatively low volatility of the by-products formation, ion bombardment was required, in addition to physical sputtering, to obtain high IZO etch rates. The chemical state of the etched surfaces was investigated with X-ray photoelectron spectroscopy. These data suggested that the IZO etch mechanism was ion-enhanced chemical etching.

Numerical Study on Pulverized Coal Combustion Applying Two-Phase WSGGM (이상 회체가스 가중합산모델을 적용한 미분탄 연소의 수치적 연구)

  • Yu, Myoung-Jong;Kang, Shin-Jae;Baek, Seung-Wook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.10
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    • pp.1368-1379
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    • 2000
  • A numerical study on swirling pulverized coal combustion in an axisymmetric enclosure is carried out by applying the 2-phase weighted sum of gray gases model (WSGGM) approach with the discrete ordinate method (DOM) to model the radiative heat transfer equation. In the radiative transfer equation, the same polynomial equation and coefficients for weighting factors as those for gas are adopted for the coal/char particles as a function of partial pressure and particle temperature. The Eulerian balance equations for mass, momentum, energy, and species mass fractions are adopted with the standard and RNG k-${\varepsilon}$ turbulence model, whereas the Lagrangian approach is used for the particulate phase. The eddy-dissipation model is employed for the reaction rate for gaseous mixture, and the single-step and two-step first-order reaction model for the devolatilization process for coal. Special attention is given to establish the thermal boundary conditions on radiative transfer equation By comparing the numerical results with experimental ones, the radiation model used here is confirmed and found to provide an alternative for simulating the radiative transfer.

Comparison of Fatigue Damage of Linear Elastic System with Respect to Vibration Input Conditions (입력가진 조건에 따른 선형 시스템의 피로손상도 비교 평가)

  • Heo, Yun Seok;Kim, Chan-Jung
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.6
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    • pp.437-443
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    • 2014
  • Vibration testing is conducted for evaluate the fatigue resistance of responsible system over excitation situations and two kinds of vibration profiles, harmonic or random, are widely used in engineering fields. Harmonic excitation profile is adequate for the rotating machinery that is primarily exposed to the orderly excited force subjected for a rotating speed; Random profile is suitable for the non-stationary vibration input, that is a ground excitation for example. Recently, the sine on random(SOR) testing method was sometimes considered to represent the real excitation conditions since the measured response signals of a target system, expecially for moving mobility, shows usually a mixture of them. So, it is important to understand the accumulated fatigue damage over different excitation patterns, harmonic and/or random, to determine the efficient vibration profile of a target system. A uniaxial vibration testing with a notched simple beam was introduced to evaluate the fatigue damage for different excitation profiles and the best choice of vibration profile was concluded from those comparison of calculated fatigue damages.