• Title/Summary/Keyword: Distribution Department

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Two model comparisons of software reliability analysis for Burr type XII distribution

  • An, Jeong-Hyang
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.4
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    • pp.815-823
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    • 2012
  • In this paper reliability growth model in which the operating time between successive failure is a continuous random variable is proposed. This model is for Burr type XII distribution with two parameters which is discussed in two versions: the order statistics and non-homogeneous Poisson process. The two software reliability measures are obtained. The performance for two versions of the suggested model is tested on real data set by U-plot and Y-plot using Kolmogorov distance.

Diagnosis of Observations after Fit of Multivariate Skew t-Distribution: Identification of Outliers and Edge Observations from Asymmetric Data

  • Kim, Seung-Gu
    • The Korean Journal of Applied Statistics
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    • v.25 no.6
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    • pp.1019-1026
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    • 2012
  • This paper presents a method for the identification of "edge observations" located on a boundary area constructed by a truncation variable as well as for the identification of outliers and the after fit of multivariate skew $t$-distribution(MST) to asymmetric data. The detection of edge observation is important in data analysis because it provides information on a certain critical area in observation space. The proposed method is applied to an Australian Institute of Sport(AIS) dataset that is well known for asymmetry in data space.

Estimation for the Double Rayleigh Distribution Based on Multiply Type-II Censored Samples

  • Han, Jun-Tae;Kang, Suk-Bok
    • Communications for Statistical Applications and Methods
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    • v.15 no.3
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    • pp.367-378
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    • 2008
  • In this paper, we derive the approximate maximum likelihood estimators of the scale parameter and the location parameter in a double Rayleigh distribution based on multiply Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error for various censored samples.

Improvement of the Modified James-Stein Estimator with Shrinkage Point and Constraints on the Norm

  • Kim, Jae Hyun;Baek, Hoh Yoo
    • Journal of Integrative Natural Science
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    • v.6 no.4
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    • pp.251-255
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    • 2013
  • For the mean vector of a p-variate normal distribution ($p{\geq}4$), the optimal estimation within the class of modified James-Stein type decision rules under the quadratic loss is given when the underlying distribution is that of a variance mixture of normals and when the norm ${\parallel}{\theta}-\bar{\theta}1{\parallel}$ it known.

GEOMETRY OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC METRIC CONNECTION

  • Jin, Dae Ho
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.4
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    • pp.769-781
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    • 2011
  • We study the geometry of half lightlike sbmanifolds M of a semi-Riemannian space form $\tilde{M}(c)$ admitting a semi-symmetric metric connection subject to the conditions: (1) The screen distribution S(TM) is totally umbilical (geodesic) and (2) the co-screen distribution $S(TM^{\bot})$ of M is a conformal Killing one.

Determination of Molecular Weight and Molecular Weight Distribution of Polypropylene Using Rheological Properties (유변학적 물성을 이용한 폴리프로필렌의 분자량과 분자량 분포를 결정하는 방법)

  • Lee, Young Sil;Yoon, Kwan Han
    • Polymer(Korea)
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    • v.38 no.6
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    • pp.735-743
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    • 2014
  • The rheological measurement of polypropylene (PP) has been performed using a rheometer, an intrinsic viscometer, and an MI machine to predict the molecular weight and the molecular weight distribution. Also, GPC has been used for the determination of the molecular structure. The distribution broadness parameter using modified Carreau model has been used to make the correlation between the rheological parameter and the molecular structure instead of the rheological PI (polydispersity index) which is determined from the cross of modulus from the dynamic oscillatory measurement. Even though the rheological PI is useful to determine the molecular weight distribution of the PP using controlled rheology, which has narrow and uniform molecular weight distribution, but not suitable to determine the molecular weight distribution of the PP made from direct polymerization which has broad and various molecular weight distribution. However the distribution broadness parameter which determined from the index of the shear thinning of the PP melt well predicts the molecular weight distribution of PP.

Pedagogical Implications for Teaching and Learning Normal Distribution Curves with CAS Calculator in High School Mathematics (CAS 계산기를 활용한 고등학교 정규분포곡선의 교수-학습을 위한 시사점 탐구)

  • Cho, Cheong-Soo
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.177-193
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    • 2010
  • The purpose of this study is to explore normal distribution in probability distributions of the area of statistics in high school mathematics. To do this these contents such as approximation of normal distribution from binomial distribution, investigation of normal distribution curve and the area under its curve through the method of Monte Carlo, linear transformations of normal distribution curve, and various types of normal distribution curves are explored with CAS calculator. It will not be ablt to be attained for the objectives suggested the area of probability distribution in a paper-and-pencil classroom environment from the perspectives of tools of CAS calculator such as trivialization, experimentation, visualization, and concentration. Thus, this study is to explore various properties of normal distribution curve with CAS calculator and derive from pedagogical implications of teaching and learning normal distribution curve.

Anti-arthritic Properties of ShinEumHur-Herbal Acupuncture Assessed by Knee Circumference, Squeak Threshold and Weight Distribution Ratio in Rats (흰쥐의 adjuvant-induced knee arthritis에 대한 신음허 약침의 치료효과)

  • Kim Gun-Ho;Hahm Dae-Hyun;Lee Han-Chang;Yeom Mijung;Han Dong-Oh;Zhao Mei Ai;Shim Insop;Kim Jang-Hyun;Lee Hye-Jung
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.18 no.4
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    • pp.1001-1006
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    • 2004
  • In order to examine the anti-arthritic properties of ShinEumHur(SEH)-herbal acupuncture, an adjuvant-induced arthritic rat was generated by the intra-articular injection of dried cells of Mycobacterium tuberculosis emulsified in squalene into the right knee joint. Fifty microliter of SEH extract was injected into Zusanli(ST36) acupoint on the ipsilateral hind paw every other day for 2 weeks. The body weight, knee circumference, squeak threshold, and weight distribution ratio were analyzed as the assessment methods addressing arthritic symptoms such as arthritic pain, edema, and tenderness. The weight distribution ratio was measured by a digital-type analgesia instrument using the dual channel scale that separately measures the weight the arthritic rat distributes to each hind paw, and thus quantifies both of swelling and pain severities at once. The therapeutic effects of SEH-herbal acupuncture, assessed by squeaking threshold and weight distribution ratio, were observed on 8th day after the arthritis induction as compared to saline group and control group. On 10th day, SEH-herbal acupuncture therapy significantly started to alleviate the growing pattern of knee circumference of an arthritic rat in the range of 0.2㎝. However, the loss of body weight was not significantly recovered. Taken together, the SEH-herbal acupuncture exhibited the significant therapeutic efficiency to treat adjuvant-induced monoarthritis in rat.

Effect of Low Magnetic Field on Dose Distribution in the SABR Plans for Liver Cancer

  • Son, Jaeman;Chun, Minsoo;An, Hyun Joon;Kang, Seong-Hee;Chie, Eui Kyu;Yoon, Jeongmin;Choi, Chang Heon;Park, Jong Min;Kim, Jung-in
    • Progress in Medical Physics
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    • v.29 no.2
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    • pp.47-52
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    • 2018
  • To investigate the effect of low magnetic field on dose distribution in SABR plans for liver cancer, we calculated and evaluated the dose distribution to each organ with and without magnetic fields. Ten patients received a 50 Gy dose in five fractions using the $ViewRay^{(R)}$ treatment planning system. For planning target volume (PTV), the results were analyzed in the point minimum ($D_{min}$), maximum ($D_{max}$), mean dose ($D_{mean}$) and volume receiving at least 90% ($V_{90%}$), 95% ($V_{95%}$), and 100% ($V_{100%}$) of the prescription dose, respectively. For organs at risk (OARs), the duodenum and stomach were analyzed with $D_{0.5cc}$ and $D_{2cc}$, and the remained liver except for PTV was analyzed with $D_{mean}$, $D_{max}$, and $D_{min}$. Both inner and outer shells were analyzed with the point $D_{min}$, $D_{max}$, and $D_{mean}$, respectively. For PTV, the maximum change in volume due to the presence or absence of the low magnetic field showed a percentage difference of up to $0.67{\pm}0.60%$. In OAR analysis, there is no significant difference for the magnetic field. In both shell structure analyses, although there are no major changes in dose distribution, the largest value of deviation for $D_{max}$ in the outer shell is $2.12{\pm}2.67Gy$. The effect of low magnetic field on dose distribution by a Co-60 beam was not significantly observed within the body, but the dose deposition was only appreciable outside the body.