• Title/Summary/Keyword: unimodal distribution

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Morphology of Barium Titanyl Oxalate Particles Produced by Homogeneous Precipitation

  • 민천규;김승원;이철
    • Bulletin of the Korean Chemical Society
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    • v.18 no.6
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    • pp.600-603
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    • 1997
  • Spherical, submicrometer particles of barium-titanyl oxalate were homogeneously precipitated by thermal decomposition of diethyl oxalate in acidic aqueous solutions. The rates of oxalate ion generations, determined by various combinations of temperature and initial concentration of diethyl oxalate had a very important effect on the particle size distribution. Monosized, bimodal, or broad unimodal powders were obtained under certain combinations of experimental variables.

Roadside Aerosols Size Distribution Characteristics in Jeju City (제주시 도로변에서의 에어로졸의 입경별 분포 특성)

  • Lee, Ki-Ho;Kim, Su-Mi;Hu, Chul-Goo
    • Journal of Environmental Science International
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    • v.30 no.9
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    • pp.727-739
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    • 2021
  • Measurements on mass size distribution of roadside aerosols were obtained in downtown Jeju City from July 2018 to May 2020 using an 8-stage cascade impactor sampler and the compositions of aerosols were analyzed. The mass size distribution of total aerosols was bimodal with aerosols existing in both the fine and coarse modes. The mass size distributions of Na+, Mg2+, Ca2+, Cl-, NH4+ and SO42- were unimodal, whereas that of K+ was bimodal. For NO3-, the size distribution in winter and spring was bimodal with the peaks in both fine and coarse modes, whereas for summer and autumn the distribution was unimodal with a peak in the coarse mode. NH4+ was found to co-exist with SO42- in the fine mode with an average molar ratio of [NH4+]/[SO42-] equal to 2.05. Good correlation was observed between NO3- and NH4+ in the fine mode particles in spring and winter. Based on the value of the marine enrichment factor for Cl-, Mg2+, K+, Ca2+ and SO42-, it may be inferred that a major part of the roadside aerosols in downtown Jeju City was largely contributed by terrigenous sources, although the influence of sea salt was normally present.

A Hill-Sliding Strategy for Initialization of Gaussian Clusters in the Multidimensional Space

  • Park, J.Kyoungyoon;Chen, Yung-H.;Simons, Daryl-B.;Miller, Lee-D.
    • Korean Journal of Remote Sensing
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    • v.1 no.1
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    • pp.5-27
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    • 1985
  • A hill-sliding technique was devised to extract Gaussian clusters from the multivariate probability density estimates of sample data for the first step of iterative unsupervised classification. The underlying assumption in this approach was that each cluster possessed a unimodal normal distribution. The key idea was that a clustering function proposed could distinguish elements of a cluster under formation from the rest in the feature space. Initial clusters were extracted one by one according to the hill-sliding tactics. A dimensionless cluster compactness parameter was proposed as a universal measure of cluster goodness and used satisfactorily in test runs with Landsat multispectral scanner (MSS) data. The normalized divergence, defined by the cluster divergence divided by the entropy of the entire sample data, was utilized as a general separability measure between clusters. An overall clustering objective function was set forth in terms of cluster covariance matrices, from which the cluster compactness measure could be deduced. Minimal improvement of initial data partitioning was evaluated by this objective function in eliminating scattered sparse data points. The hill-sliding clustering technique developed herein has the potential applicability to decomposition of any multivariate mixture distribution into a number of unimodal distributions when an appropriate diatribution function to the data set is employed.

Comparison Study of Kernel Density Estimation according to Various Bandwidth Selectors (다양한 대역폭 선택법에 따른 커널밀도추정의 비교 연구)

  • Kang, Young-Jin;Noh, Yoojeong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.3
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    • pp.173-181
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    • 2019
  • To estimate probabilistic distribution function from experimental data, kernel density estimation(KDE) is mostly used in cases when data is insufficient. The estimated distribution using KDE depends on bandwidth selectors that smoothen or overfit a kernel estimator to experimental data. In this study, various bandwidth selectors such as the Silverman's rule of thumb, rule using adaptive estimates, and oversmoothing rule, were compared for accuracy and conservativeness. For this, statistical simulations were carried out using assumed true models including unimodal and multimodal distributions, and, accuracies and conservativeness of estimating distribution functions were compared according to various data. In addition, it was verified how the estimated distributions using KDE with different bandwidth selectors affect reliability analysis results through simple reliability examples.

Parameters estimation of the generalized linear failure rate distribution using simulated annealing algorithm

  • Sarhan, Ammar M.;Karawia, A.A.
    • International Journal of Reliability and Applications
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    • v.13 no.2
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    • pp.91-104
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    • 2012
  • Sarhan and Kundu (2009) introduced a new distribution named as the generalized linear failure rate distribution. This distribution generalizes several well known distributions. The probability density function of the generalized linear failure rate distribution can be right skewed or unimodal and its hazard function can be increasing, decreasing or bathtub shaped. This distribution can be used quite effectively to analyze lifetime data in place of linear failure rate, generalized exponential and generalized Rayleigh distributions. In this paper, we apply the simulated annealing algorithm to obtain the maximum likelihood point estimates of the parameters of the generalized linear failure rate distribution. Simulated annealing algorithm can not only find the global optimum; it is also less likely to fail because it is a very robust algorithm. The estimators obtained using simulated annealing algorithm have been compared with the corresponding traditional maximum likelihood estimators for their risks.

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Tool condition monitoring using parameters of beta distribution in gear shaving process (기어 세이빙 공정에서 베타 확률 분포를 이용한 공구 상태 검출)

  • Choi, Deok-Ki;Kim, Seong-Jun;Oh, Young-Tak
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1069-1074
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    • 2008
  • Tool condition monitoring (TCM) is crucial for improvement of productivity in manufacturing process. However, TCM techniques have not been applied to monitor tool failure in an industrial gear shaving application. Therefore, this work studied a statistical TCM method for monitoring gear shaving tool condition. The method modeled the shaving process using beta probability distribution in order to extract the effective features. Modeling includes rectifying for converting a bi-modal distribution into a unimodal distribution, estimating parameters of beta probability distribution based on method of moments. The usefulness of features obtained from the proposed method was evaluated and discussed.

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Size characteristics of the Korean Shelf Sediments (한국근해 퇴적물의 입도분포 특성)

  • 공영세;김승우
    • 한국해양학회지
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    • v.26 no.1
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    • pp.38-46
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    • 1991
  • size data of 1,044 surface sediments from Korean shelf area were compiled and reexamined. Size distribution curves of the sediments are unimodal (31% of the total number), bimodal (54%), or multimodal 915%), Size curves of the sediments and modal subpopulations of the mixed sediments show resemblance to normal curve in shape. The modal mean value shows systematic change along a direction inside the Recent mud belts of the southeastern Yellow Sea and west of Korea Strait. It was found that the areas covered by unimodal sand are minimal value areas of heavy metal and suspended sediment-concentration in the southeastern Yellow Sea and northern East China transport processes during Recent time. It was also found that the mode analysis is useful method to extract information from sediment size data.

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On the interpretation of color bimodality of extra-galactic globular clusters

  • Kim, Hak-Sub;Sohn, SangmoTony;Chung, Chul;Lee, Sang-Yoon;Yoon, Suk-Jin
    • The Bulletin of The Korean Astronomical Society
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    • v.35 no.2
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    • pp.27.1-27.1
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    • 2010
  • Globular cluster (GC) systems in most galaxies, particularly in ellipticals, show bimodal color distributions. Because broadband colors trace metallicity at old ages, this phenomenon has been commonly interpreted as bimodal metallicity distributions, implying the presence of two sub-populations in the globular cluster system within a galaxy. However, a new explanation has recently been proposed, in which the non-linear nature of color-metallicity relations induced by horizontal-branch stars can produce bimodal color distributions even from unimodal metallicity distributions. In this study, we put these two explanations to the test on the origin of color bimodality, using multi-band (U,B,V and I) photometry of globular clusters in NGC 1399, the central giant elliptical galaxy in Fornax galaxy cluster. We find significant changes in the morphology of color distributions when using different colors. The observation is also well reproduced by the Monte Carlo realization of GC color when a unimodal metallicity distribution and the theoretical non-linear color-metallicity relations are assumed. We discuss the implications regarding theories on galaxy formation and evolution.

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Coaxial Nozzle Electrospraying of Polymer Solutions: Use of Dispersant Flow (고분자 용액의 동축 이중노즐 전기분무: 분산제 흐름의 사용)

  • Kim, Min-Young;Lee, Jong-Hwi
    • Polymer(Korea)
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    • v.35 no.3
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    • pp.254-259
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    • 2011
  • In electrospraying of polymer solutions, metal sample collectors are often ineffective in fully removing solvent from sprayed particles and recovering redispersable sprayed particles. Herein, a novel electro spraying system, where sprayed particles were dispersed into laminar flow of dispersant (coagulation liquid), was designed for the nano-encapsulation of protein drugs. Chitosan and polyacrylic acid were used as the encapsulation materials. Aggregation of particles could be prevented by using this new electrospraying system, and unimodal size distribution was observed at an applied voltage between 4~16 kV and a low flow rate. The effects of the applied voltage on mean particle size were not significant on the other hand.

A study on the concentration of trace metal elements in whole blood of the women in reproductive ages in urban and rural area (도시 및 농촌지역 가임연령 여성들의 혈중 미량금속원소의 함량에 관한 조사)

  • Jun, Jin-Ho
    • Journal of Preventive Medicine and Public Health
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    • v.17 no.1
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    • pp.95-106
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    • 1984
  • To acquire the essential basic data to the establishment of control measure for the hazardous health effect that could be caused by harmful metals, the author measured the concentrations of trace metals in whole blood of women of $20{\sim}39$ years old living in urban and rural area using atomic absorption spectrophotometer. The summarized results were as follows; 1. The mean concentration of zinc in whole blood was $10.69{\pm}8.07{\mu}g/ml$ in rural area. The frequency distribution by zinc concentration level was nearly L-type and the cumulative frequency distribution was showed bimodal type in both area. 2. The mean iron concentration in whole blood was $323.09{\pm}87.15{\mu}g/ml$ and $322.07{\pm}104.74{\mu}g/ml$ in urban and rural area, respectively. The frequency distribution was similar to normal distribution type in both area, but the cumulative distribution was unimodal type in urban area and bimodal type in rural area. 3. The mean magnesium concentration was $41.08{\pm}19.58{\mu}g/ml$ and $40.28{\pm}16.82{\mu}g/ml$ in the area, respectively. The frequency distribution type had skewness to the right and the cumulative frequency distribution was unimodal type in both area. 4. The mean copper concentration was $1.417{\pm}0.761{\mu}g/ml$ and $1.375{\pm}0.743{\mu}g/ml$ in the area, respectively. The frequency distribution type had skewness to the right and the cumulative frequency distribution was bimodal type in both area. 5. The mean manganese concentration was $0.079{\pm}0.039{\mu}g/ml$ and $0.07{\pm}0.058{\mu}g/ml$ in the area, respectively. The frequency distribution type had skewness to the right in both area but slight irregular in rural area and the cumulative distribution was unimodal and bimodal type in urban and rural area, respectively. 6. The mean cadmium concentration in whole blood was $0.031{\pm}0.026{\mu}g/ml$ in urban and $0.028{\pm}0.023{\mu}g/ml$ in rural area. The frequency distribution type had skewness to the right and cumulative frequency distribution was bimodal type in both area.

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