• Title/Summary/Keyword: $x^2$ Distribution

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The Cumulants of the Non-normal t Distribution

  • Hwang, Hark
    • Journal of the Korean Statistical Society
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    • v.5 no.2
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    • pp.91-100
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    • 1976
  • The use of the statistic $t = \sqrt{n} (x-\mu)/S$, where $\bar{X) = \sum X_i/n, \mu = E(X_i), S^2 = \sum(X_i-\bar{X})^2/(n-1)$ in statistical inference is usually done under the assumption of normality of the population. If the population is not normally distributed the tabulated values of student t are no longer valid. The moments of t are obtained as a power series in $1/\sqar{n}$ whose coefficients are functions of the cumulants of X. The cumulants are obtained from the moments in the usual manner. The first eight cumulants of t are given up to terms of order $1/n^3$. The first eight cumulants of t are given up to terms of order $1/n^3$. These results extend those of Geary who gave the first six cumulants of t to order $1/n^2$.

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A Mossbauer Study on Al-Ferrite (Al-Ferrite의 Mossbauer 분광학적 연구)

  • 이충섭;주한식;이찬영;서정철
    • Journal of the Korean Magnetics Society
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    • v.8 no.4
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    • pp.198-202
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    • 1998
  • We have studied $Al_xFe_{3-x}O_4$ produced by direct composition method using X-ray diffraction and Mssbauer spectroscopy. The cation distribution for $Al_xFe_{3-x}O_4$ was determined by the ratio of sub-spectra absorption area. The charge state of Fe atoms in octahedral site(B-site) is $Fe^{2.5+}$ based on electron hopping, $Fe^{2+}$$(Fe^{3+},Al^{3+})$ without dependency of substituted Al amounts.

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PTW Application Method for Analysis the Industrial Distribution System (PTW를 이용한 산업용 수변전계통의 운영방안)

  • 설용태;이의용;이배희
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.14 no.3
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    • pp.22-28
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    • 2000
  • In this paper PTW(Power Tools for Windows) application method for analysis the industrial distribution system is proposed. T&D(Transmission and Distribution) and BICC methods is applied for the cable impedance and the X/R of transformer data is estimated by IEEE standard. The effectiveness of this method was improved by the electrical characteristics analysis of the real industrial distribution system.

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Designs and Performance Analysis of Adaptive Transmission Scheme for Vehicle Communication System (차량 통신 시스템을 위한 적응적 전송 기법 설계 및 성능 분석)

  • Moon, Sangmi;Chu, Myeonghun;Lee, Jihye;Kwon, Soonho;Kim, Hanjong;Kim, Cheolsung;Hwang, Intae
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.9
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    • pp.3-11
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    • 2016
  • Vehicle to Everything (V2X) communication has been growing to enhance traffic safety by employing advanced wireless communication systems. V2X communication is one core solution for governing and advancing future traffic safety and mobility. In this paper, we design the system level simulator (SLS) of Long Term Evolution (LTE)-based V2X and propose the adaptive transmission scheme for vehicle communication. The proposed scheme allocates the resource randomly in time and frequency domain, and transmit the message according to probability of transmission. The performance analysis is based on freeway case in periodic message transmission. Simulation results show that proposed scheme can improve the cumulative distribution function (CDF) of packet reception ratio (PRR) and average PRR.

Fabrication of Rapidly Solidified Al-20wt%Si-5wt%Fe Alloy Powder and Mechanical Properties of its Extrudates (급속응고 Al-20wt%Si-5wt%Fe 합금분말 압출재의 강도에 관한 연구)

  • 김택수
    • Journal of Powder Materials
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    • v.1 no.1
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    • pp.66-71
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    • 1994
  • Optical microstructures and mechanical properties of Na gas atomized Al-20Si-5Fe alloying powder and its hot extrudates were studied on 3 different types of powder size distribution. This powder showed the size distribution of 10~210 $\mu\textrm{m}$. Also the microstructures of $\alpha$-Al, primary and eutectic Si and needle shaped intermetallic compounds were observed by optical microscope. These needle shaped intermetallic compounds were identified as ${\delta}Al_4FeSi_2$- by XRD and EDX analysis. The ultimate tensile strength(UTS) of these alloy extrudates was increased from 324 to 390 MPa with decreasing powder size range from 120~210 $\mu\textrm{m}$ to 10~64 $\mu\textrm{m}$. A value of Micro-vic-kers hardness was simillar to the result of UTS. These extrudates showed better wear resistance than those of Al-20Si-2X(X : Ni, Cr, Zr), although they are insensitive to the size distribution. These results indicate that the presentation of ${\delta}Al_4FeSi_2$ intermetallic compounds contributed to the wear resistance improvement.

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On the behavior od Winsorized $x^2$ (윈저화 $x^2$의 양태에 대하여)

  • 성내경
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.1-7
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    • 1994
  • Using a Monte-Carlo simulation technique we evaluate the empiricla distribution of a pseudo-chi-square statistic based on symmetrically Winsorized sum of squares when the population is normally distributed, and search for a chi-square distribution with appropriate degrees of freedom which can be referred to an approximate distribution for Winsorized chi-square.

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Environmental Factor and the Distribution of Aquatic Macrophytes Community in Tanchon (炭川의 大型水生植物群集의 分布와 環境)

  • Kim, Yong-Beom;Yim, Yang-Jai
    • The Korean Journal of Ecology
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    • v.13 no.4
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    • pp.297-309
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    • 1990
  • The distribution of aquatic macrophytes in TanChon basin, a stream of the Han River, were investigated in terms of environmental gradient from June 1989 to March 1990. In the basin, 12 species of aquatic macrophytes were listed and four communities of Potamogeton crispus community. $P. octandrus$ community, $Hydrilla verticillata$ community and $Vallisneria$ asiatica community were recongized by character species. $P. crispus, P. octandrus$ and $V. asiatica$ were found in rapids while $H. verticillata , Ceratophyllum demersum$ and $Trapa japonica$ were done in pools. The depth of sediment $TanCh\u{o}n$ was showed as a exponential function of water velocity, Bd=exp (-K Wv). The values of Biochemical Oxygen Demand(BOD), Chemical Oxygen Demand(COD) and Suspendid Solid(SS) were recorded as range of 3.2~121.0mg/1, 4.2~54.5mg/1 and 4.1~114.0mg/1, respectively. And the linear positive correlation between BOD(X) and COD(Y) were expressed as Y=3.904+0.4308 X with $R^2$=0.9808 and also the correlation between BOD value(X) and SS value(Y) were done as Y=5.333+0.9606X with $R^2$=0.9700. In two dimensional analysis of BOD and water velocity, their clusters were showed similar types matching to communities classified by character species. However, no aquatic macrophyes were found at the site with BOD$\geq$50mg/l or DO$\leq$0.2mg/l.

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Study on the Exposure Field of Head and Neck with Measurement of X-ray dose Distribution for Dental Panoramic X-ray System (치과 파노라마 장치의 X선 공간선량분포 측정을 통한 두경부 피폭영역 조사에 대한 연구)

  • Oh, Yoonjin;Hong, Girang;Lee, Samyol
    • Journal of the Korean Society of Radiology
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    • v.9 no.1
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    • pp.17-21
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    • 2015
  • Recently, As people's interest in the health of teeth is increased in the medical field changed into aging society, the number of times for the radiological diagnosis is increased. It can be said that the radiation exposure dose of Korean population is increased. It is also growing concern about radiation exposure. Therefore, the basic data for the dental panoramic X-ray system, its investigation and measuring the radiation dose is needed. In this study, we used ALOKA PDM-117 dosimeter and estimated a two-dimensional dose distribution of the dental panoramic X-ray system (VATEC Pax-400). Dose evaluation about the distribution is confirmed from the point of radiation exposure of a patient. Dose distribution of the dental panoramic X-ray system irradiated chin and the facial region to high dose as well as the parts of teeth. It was founded that the eye lens which are sensitive to radiation are exposed to unnecessary radiation, considering the effect of scattered radiation. The results of this study will be used more accurate dose assessment in a variety of object size and location of measuring dose.