• Title/Summary/Keyword: Distribution Order

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VARIOUS PROPERTIES OF HIGH-ORDER (p, q)-POLY-TANGENT POLYNOMIALS AND THE PHENOMENA OF THEIR ROOTS

  • JUNG YOOG KANG
    • Journal of applied mathematics & informatics
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    • v.42 no.2
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    • pp.457-469
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    • 2024
  • In this paper, we construct higher-order (p, q)-poly-tangent numbers and polynomials and give several properties, including addition formula and multiplication formula. Finally, we explore the distribution of roots of higher-order (p, q)-poly-tangent polynomials.

Characteristics of Lineament and Fracture System in the North-eastern Area of Yosu Peninsula (여수반도 북동부지역의 선상구조와 단열계 분포특성)

  • 김경수;이은용;김천수
    • The Journal of Engineering Geology
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    • v.9 no.1
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    • pp.31-43
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    • 1999
  • This study aims to quantify the distribution characteristics of the fracture system for the numerical modeling of groundwater flow in the north-eastern area of Yosu peninsula. The study area is composed mainly of volcanic rocks and granite. The regional and site scale lineament in the range of magnitude Order 1 to Order 3 were analyzed from the geologic map, air-photograph and shaded relief map. The geometric parameter of Order 4 fracture system was acquired from the scanline survey on the ground surface. There is a similar trend in the preferred orientation between the regional lineament and the Order 4 fracture system except the Set 4 of Order 4 fracture system which is not prominent in the type. That is classified to three fracture sat of high dip angle and one of ow dip angle. From the lineament trend. The orientation of Order 4 fracture system has similar characteristics in each rock termination mode analysis, it is considered that the fracture system was developed systematically and sequentially from Set 1 to Set 4 Filling materials are distinct relatively in low dip angle set. The fracture spacing follows to lognoral distribution and the fracture frequency corrected by the modified Terzaghi correction ranges from 0.38 to 1.01 per mater in each fracture set. The fracture trace lenght also follows to lognormal distribution and ranges from 2.9m to 3.7m in each fracture set.

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A Clinical Analysis on 250 cases of Inpatients with Facial Paralysis (말초성 안면마비 입원환자 250례에 대한 임상적 고찰)

  • Kang, Na-Ru;Tark, Myoung-Rim;Byun, Soek-Mi;Ko, Woo-Shin;Yoon, Hwa-Jung
    • The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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    • v.23 no.3
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    • pp.109-121
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    • 2010
  • Objectives : This study was performed to analysis the effect of oriental medical care for inpatients with facial paralysis that had visited Dept. of Otolaryngology Oriental medical hospital Dong-eui university. Methods : From January 2008 to September 2010, a clinical study was done on 250 inpatients who were treated as facial nerve paralysis at the Dept. of Otolaryngology Oriental medical hospital Dong-eui university. This study was assessed using the chart analysis. Results : 1. The distribution of sex : female 54.8%, male 45.2%. The distribution of age was pregented that fifty to sixty was the most in 67 cases(26.8%). 2. The distribution of the period of admission : female 12.5 days, male 9.9 days. 3. The distribution of past history : hypertention(18.8%), diabetes-mellitus(10.85%), facial paralysis(9.25%), cerebrovascular disease(4.4%), liver disease(5.6%), hyperlipidemia(1.2%), otitis media(1.2%), herpes zoster(1.2%), cardiac disease(2.45%), thyroid disease(1.2%). 4. The distribution of the region of facial paralysis : Rt(55.36%), Lt(56.52%). 5. Check the mastoid pain : 66.8%(female 73.91%, male 58.04%). 6. Out of prescription(Ko-Bang, 古方), Galgeun-Tang(葛根湯) and Gaejigeogaegayoungchul-Tang was used most in each 34 cases, Daesiho-Tang(大柴胡湯) 30 cases, Galgeungabanha-Tang(葛根加半夏湯) 27 cases, Sihogaeji-Tang(柴胡桂枝湯) 14 cases, Hwanggigaejiomul-Tang 12 cases, Odu-Tang(烏頭湯) 10 cases, Chijadaehwangsi-Tang 10 cases, Gaejigagalgeun-Tang(桂枝加葛根湯) 7 cases, Banhasasim-Tang(半夏瀉心湯) 5 cases, Injinho-Tang(茵蔯蒿湯) 5 cases in order. 7. The distribution of herb group : Mahwang-Jae(麻黃劑) 31.72%, Gaeji-Jae(桂枝劑) 26.00%, Siho-Gae(柴胡劑) 20.70%, Chija-Gae(梔子劑) 7.49%, Buja-Jae(附子劑) 4.41%, Banhahwanggeum-Gae(半夏黃芩劑) 3.08%, Daehwang-Gae(大黃劑) 2.64%, Bockryeong-Gae(茯笭劑) 1.76%, Jisil-Gae(枳實劑) 1.32%, Insam-Gae(人蔘劑) 0.88% in order. 8. The distribution of House-Brackmann grade of admission : Gr Ⅳ 74.85%, Gr.III 13.6%, Gr.V 11.6% in order. 9. The distribution of House-Brackmann grade of discharge : Gr.III 56%, Gr.IV 38.4%, Gr.II 5.6% in order. 10. The average number of OPD follow up is 6.46. Conclusion : This results indicated that oriental medical treatment with Ko-bang(古方) can be an effective way to treat facial paralysis. The more patients we treat with Ko-bang(古方), the more clinical report is accumulated. Then it would be helpful to map out a systematic treatment on facial paralysis.

NONINFORMATIVE PRIORS FOR PARETO DISTRIBUTION : REGULAR CASE

  • Kim, Dal-Ho;Lee, Woo-Dong;Kang, Sang-Gil
    • 한국데이터정보과학회:학술대회논문집
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    • 2003.05a
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    • pp.27-37
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    • 2003
  • In this paper, we develop noninformative priors for two parameter Pareto distribution. Specially, we derive Jeffrey's prior, probability matching prior and reference prior for the parameter of interest. In our case, the probability matching prior is only a first order and there does not exist a second order matching prior. Some simulation reveals that the matching prior performs better to achieve the coverage probability. And a real example will be given.

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ORDER RESTRICTED TESTS FOR SYMMETRY AGAINST POSITIVE BIASEDNESS

  • Oh, Myong-Sik
    • Journal of the Korean Statistical Society
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    • v.36 no.3
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    • pp.335-347
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    • 2007
  • Two new types of positive biasedness, which are closely related to Type III positive biasedness (Yanagimoto and Sibuya, 1972), are proposed. We call these near Type III positive biasedness. Though no implication between Type II and near Type III biasedness exists, near Type III seems to be less restrictive than Type II biasedness. Constrained maximum likelihood estimates of distribution functions under near Type III positive bisedness are obtained. The likelihood ratio tests of symmetry against new positive biasedness restrictions are proposed. A small simulation study is conducted to compare the performance of the tests.

Some Characterization Results Based on Dynamic Survival and Failure Entropies

  • Abbasnejad, Maliheh
    • Communications for Statistical Applications and Methods
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    • v.18 no.6
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    • pp.787-798
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    • 2011
  • In this paper, we develop some characterization results in terms of survival entropy of the first order statistic. In addition, we generalize the cumulative entropy recently proposed by Di Crescenzo and Logobardi (2009) to a new measure of information (called the failure entropy) and study some properties of it and its dynamic version. Furthermore, power distribution is characterized based on dynamic failure entropy.

A New Test for New Better than Used Class (NBU에 대한 지수성 검정법에 관한 연구)

  • Kim, Hwan-Joong
    • Journal of Korean Society for Quality Management
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    • v.27 no.2
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    • pp.143-151
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    • 1999
  • In this thesis, a new test statistic is proposed for testing exponentiality against New Better than Used (NBU) alternatives. Our test statistic, which is based on a quadratic function of the order statistics from the sample, is readily applied in the case of small sample. Also, Our test statistic is more simple than the test statistic of Hollander and Proschan(1972).

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Testing Uniformity Based on Regression and EDF

  • Kim, Nam-Hyun
    • Communications for Statistical Applications and Methods
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    • v.14 no.3
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    • pp.623-632
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    • 2007
  • Some tests of the goodness of fit of the uniform distribution between 0 and 1 are presented. The powers of the tests under certain alternatives are examined. As a result, the statistic based on the difference between the order statistics and the modal value of them gives good powers. We also give modifications of the statistic without using the extensive tables of the critical points.

Goodness-of-fit Test for Rayleigh Distribution

  • Sultan, K.S.
    • International Journal of Reliability and Applications
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    • v.8 no.1
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    • pp.41-51
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    • 2007
  • In this paper, we use the moments of order statistics derived by Lieblein (1955) to develop the correlation goodness-of-fit test for the Rayleigh distribution. In such we simulate the percentage points of the test statistics for the one-parameter and two-parameter cases. In addition, we calculate the power of the proposed tests based on some alterative distributions. Finally, we apply the procedures developed in the paper to some real data.

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SEQUENTIAL CONFIDENCE INTERVALS WITH ${\beta}-PROTECTION$ IN A NORMAL DISTRIBUTION HAVING EQUAL MEAN AND VARIANCE

  • Kim, Sung-Kyun;Kim, Sung-Lai;Lee, Young-Whan
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.479-488
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    • 2007
  • A sequential procedure is proposed in order to construct one-sided confidence intervals for a normal mean with guaranteed coverage probability and ${\beta}-protection$ when the normal mean and variance are identical. First-order asymptotic properties on the sequential sample size are found. The derived results hold with uniformity in the total parameter space or its subsets.