• Title/Summary/Keyword: lognormal

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Magnetization of Ultrafine Cadmium Ferrite Particles

  • Park, Eun-Jung
    • Journal of the Korean Ceramic Society
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    • v.39 no.1
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    • pp.12-15
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    • 2002
  • Ultrafine cadmium ferrite particles have been investigated by X-ray diffractometry, transmission electron microscopy and SQUID magnetometry. All peaks of X-ray diffraction patterns are broad, but correspond to a cubic spinel structure with the lattice constant of 8.65 $\AA$. The average particle size determined by TEM is 9.7 nm and the size distribution of particles is not normal, but lognormal. The maximal magnetization measured at 5 K was 17.7 emu/g. The experimental data show a transi-tion from a disorder ferrimagnetic phase to a spin-glass phase (i.e. reentrant behavior) with a freezing temperature (T$\_$f/) of 30 K. Superparamagnetic behavior of the particles is confirmed by the coincidence of the plots of M vs. H/T for 100 and 300 K.

Bayesian Testing for the Equality of K-Lognormal Populations (부분 베이즈요인을 이용한 K개로 로그정규분포의 상등에 관한 베이지안 다중검정)

  • 문경애;김달호
    • The Korean Journal of Applied Statistics
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    • v.14 no.2
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    • pp.449-462
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    • 2001
  • 베이지안 다중 검정방법(multiple hypothesis test)은 여러 통계모형에서 성공적인 결과를 주는 것으로 알려져있다. 일반적으로, 베이지안 가설검정은 고려중인 모형에 대한 사후확률을 계산하여 가장 높은 확률은 갖는 모형을 선택하기 때문에 귀무가설의 기각여부에만 관심을 가지는 고전적인 분산분석 검정과는 달리 좀 더 구체적인 모형을 선택할 수 있는 장점이 있다. 이 논문에서는 독립이면서 로그정규분포를 따르는 K($\geq$3)개 모집단의 모수에 대한 가설 검정방법으로 O’Hagan(1995)이 제안한 부분 베이즈 요인을 이용한 베이지안 방법을 제안한다. 이 때 모수에 대한 사전분포로는 무정보적 사전분포를 사용한다. 제안한 검정 방법의 유용성을 알아보기 위하여 실제 자료의 분석과 모의 실험을 이용하여 고전적인 검정방법과 그 결과를 비교한다.

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A Study for the Increased Reliability of Al-1%Si Thin Film Metallizations (Al-1%Si 박막 금속화의 신뢰도 향상을 위한 연구)

  • 최재승;김진영
    • Journal of the Korean Vacuum Society
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    • v.1 no.3
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    • pp.382-388
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    • 1992
  • Electromigration은 인가된 전계하에서 발생하는 전자풍력에 의한 금속 이온의 현 상이며, 반도체 디바이스의 주요 결함 원인으로 보고되어 왔다. 선폭 1$mu extrm{m}$의 Al-1%Si 금속 박막전도체에 대한 electromigration 수명 실험을 위해 인가된 d.c. 전류밀도는 10MA/cm2 이었고, electromigration에 대한 활성화 에너지 측정을 위한 분위기 온도는 $80^{\circ}C$, 10$0^{\circ}C$ 그리고 $120^{\circ}C$이었다. 평균수명 및 신뢰성에 대한 보호 절연막 효과를 위해 두께 3000 $\AA$의 SiO2 산화막을 sputtering 진공증착기를 사용하여 Al-1%Si 금속 박막 전도체 위에 증착하였 다. 주요 연구 결과는 다음과 같다. Al-1%Si 금속 박막 전도체의 electromigration에 대한 활성화 에너지값은 0.75eV이었고 온도가 증가함에 따라 Al-1%Si의 수명은 감소하였고 신 뢰성은 향상되었다. SiO2 보호막은 electromigration에 대한 저항성을 크게 함으로써 평균수 명을 향상시켰으며, electromigration failure는 lognormal failure distribution은 갖는 것으로 나타났다.

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Effects of Grain-Size Distribution on the Breakdown Voltage in ZnO Varistors (입도분포가 ZnO 바리스터의 임계전압에 미치는 영향)

  • 김경남;한상목;김대수
    • Journal of the Korean Ceramic Society
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    • v.30 no.3
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    • pp.199-205
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    • 1993
  • Effects of grain size distribution on the breakdown voltage of ZnO varistors were investigated in the ZnO-Bi2O3-CoO-Sb2O3 and ZnO-Bi2O3-CoO-Sb2O3-Cr2O3 systems, respectively. The grain size was increased with increasing sintering temperature maintaining lognormal distribution in both systems. The width of grain size distribution of ZnO-Bi2O3-CoO-Sb2O3 system was narrower than that of ZnO-Bi2O3-CoO-Sb2O3 system. The breakdown voltage(Vb) was decreased by increasing sintering temperature(1000~135$0^{\circ}C$) and sintering time(0.5~5hr), due to the enhancement of ZnO grain growth. The current path of the ZnO varistor was dependent on the distribution of the largest grains (chains of long grains) between the electrodes.

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On the Dominance - Diversity in the Forest Vegetation of Mt. Halla National Park (漢拏山 國立公園 森林植生의 優占度-多樣性에 關하여)

  • Yim, Yang-Jai;Lee, Jin-Hwa
    • The Korean Journal of Ecology
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    • v.14 no.3
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    • pp.257-271
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    • 1991
  • Two types in the species-importance, one type of carpinus laxiflora, carpinus tschonoskii, quercus serrata, quercus grosseserrata and pnus densiflora community and another type of abeies koreana community classified by zurich-montpellier method, were recognized based on the data from 81 sample plots. The forme species sequence-importance curves were coincidred with the ideal curve calculated by preston's lognormal-distribution theory(1948), with small variations among five communities, and the latter with that of motomura's niche pre-emption hypothesis(1932). It seems that plant community classified by phytosociological method based on the unit concept coincide with the vegetation type recognized by species population analyse based on the continuum concept and the dominance-diversity reflrcts on the difference in the coenocline among their plant communities.

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Some New Results on Uncertain Age Replacement Policy

  • Zhang, Chunxiao;Guo, Congrong
    • Industrial Engineering and Management Systems
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    • v.12 no.1
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    • pp.41-45
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    • 2013
  • Age replacement policy is a commonly policy in maintenance management of spare part. It means that a spare part is always replaced at failure or fixed time after its installation, whichever occurs first. An optimal age replacement policy of spare parts concerns with finding the optimal replacement time determined by minimizing the expected cost per unit time. The age of the part was generally assumed to be a random variable in the past literatures, but in many situations, there are few or even no observed data to estimate the probability distribution of part's lifetime. In order to solve this phenomenon, a new uncertain age replacement policy has been proposed recently, in which the age of the part was assumed to be an uncertain variable. This paper discusses the optimal age replacement policies by dealing with the parts' lifetimes as different distributed uncertain variables. Several results on the optimal age replacement time are provided when the lifetimes are described by the uncertain linear, zigzag and lognormal distributions.

Design of Accelerated Degradation Test with Tightened Critical Values under Random Coefficient Degradation Rate Model (확률계수 열화율 모형하에서 판정가속을 도입한 가속열화시험의 설계)

  • Cho, You-hee;Seo, Sun-keun
    • Journal of Korean Institute of Industrial Engineers
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    • v.34 no.1
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    • pp.23-31
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    • 2008
  • This paper presents accelerated degradation test plans considering adoption of tightened critical values. Under arandom coefficient degradation rate and log-linear acceleration models, the asymptotic variance of an estimatorfor a lifetime quantile at the use condition as the optimization criterion is derived where the degradation ratefollows a lognormal and Reciprocal Weibull distributions, respectively and then the low stress level andproportions ofunits allocated to each stress level are determined. We also show that the developed test plans canbe applied to the multiplicative model with measurement error.

Optimal Design of Accelerated Life Tests with Different Censoring Times

  • Seo, Sun-Keun;Kim, Kab-Seok
    • Journal of Korean Society for Quality Management
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    • v.24 no.4
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    • pp.44-58
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    • 1996
  • This paper presents optimal accelerated life test plans with different censoring times for exponential, Weibull, and lognormal lifetime distributions, respectively. For an optimal plan, low stress level, proportion of test units allocated and censoring time at each stress are determined such that the asymptotic variance of the maximum likelihood estimator of a certain quantile at use condition is minimized. The proposed plans are compared with the corresponding optimal plans with a common censoring time over range of parameter values. Computational results indicate that those plans are statistically optimal ones in terms of accuracy of estimator when total censoring times of two plans are equal.

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The Diagnosis for Life Data in Accelerated Life Testing (가족수명시험에서의 수명데이타에 관한 진단)

  • Bae, Suk-Joo;Kang, Chang-Wook
    • Journal of Korean Society for Quality Management
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    • v.24 no.4
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    • pp.29-43
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    • 1996
  • This paper identifies these data by the data diagnosis in lognormal distribution and presents the method to obtain exact parameter estimates and confidence intervals of regression line. The life-stress relationship uses Arrhenius model and life data generate Class-H insulation complete data by simulation. Also, the method to estimate parameters uses least squares estimation and externally Studentized residuals can be used as test statistics for identifing outliers. And influential cases are identified by Cook's distance. This research is intended to obtain the useful information for the life of products and test method, to save time and costs, and to help optimum accelerated life test plans.

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A Study on Poisson-lognormal Model (포아송-로그정규분포 모형에 관한 연구)

  • 김용철
    • The Korean Journal of Applied Statistics
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    • v.13 no.1
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    • pp.189-196
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    • 2000
  • Conjugate prior density families were motivated by considerations of tractability in implementing the Bayesian paradigm. But we consider problem that the conjugate prior p($\Theta$) cannot be used in restriction of the parameter $\Theta$. This article considers the nonconjugate prior problem of hierarchical Poisson model. We demonstrate the use of latent variables for sampling non-standard densities which arise in the context of the Bayesian analysis of non-conjugate by using a Gibbs sampler.

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