• Title/Summary/Keyword: Size distributions

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Evaluation of Optimized Ring Specimen Shape for the Hoop Behavior Test of Nuclear Fuel Clad Tube (핵연료 피복관의 후우프 거동시험을 위한 시편의 최적형상 평가)

  • 서기석
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2000.04a
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    • pp.171-178
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    • 2000
  • In order to evaluate the tensile behaviors of hoop direction for the nuclear fuel cladding tubes the shapes of specimen and jig fixtures for the ring test are decided with various conditions under the elastic-large plastic deformations. The axial displacement of the jig cylinders is converted to the circumferential direction elongations of specimen. The stress distributions on specimen are depended on the radii and locations of specimen and jig size and central angle. Therefore we calculated the stress distributions and decided the optimum shapes to get the uniform stress in the area of specimen gage length. Form the analysis the stress distributions in gate area are reviewed with the radii and location of specimen notch and the central angle of jig cylinder,. The optimum shapes of specimen and jig are proposed to the clad tube having 10.62 mm in diameter and 0.63mm in thickness for 16x16 PWR nuclear fuel assembly.

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A M-TYPE RISK MODEL WITH MARKOV-MODULATED PREMIUM RATE

  • Yu, Wen-Guang
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1033-1047
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    • 2009
  • In this paper, we consider a m-type risk model with Markov-modulated premium rate. A integral equation for the conditional ruin probability is obtained. A recursive inequality for the ruin probability with the stationary initial distribution and the upper bound for the ruin probability with no initial reserve are given. A system of Laplace transforms of non-ruin probabilities, given the initial environment state, is established from a system of integro-differential equations. In the two-state model, explicit formulas for non-ruin probabilities are obtained when the initial reserve is zero or when both claim size distributions belong to the $K_n$-family, n $\in$ $N^+$ One example is given with claim sizes that have exponential distributions.

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CONDITIONAL LARGE DEVIATIONS FOR 1-LATTICE DISTRIBUTIONS

  • Kim, Gie-Whan
    • The Pure and Applied Mathematics
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    • v.4 no.1
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    • pp.97-104
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    • 1997
  • The large deviations theorem of Cramer is extended to conditional probabilities in the following sense. Consider a random sample of pairs of random vectors and the sample means of each of the pairs. The probability that the first falls outside a certain convex set given that the second is fixed is shown to decrease with the sample size at an exponential rate which depends on the Kullback-Leibler distance between two distributions in an associated exponential familiy of distributions. Examples are given which include a method of computing the Bahadur exact slope for tests of certain composite hypotheses in exponential families.

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Bivariate Dagum distribution

  • Muhammed, Hiba Z.
    • International Journal of Reliability and Applications
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    • v.18 no.2
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    • pp.65-82
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    • 2017
  • Abstract. Camilo Dagum proposed several variants of a new model for the size distribution of personal income in a series of papers in the 1970s. He traced the genesis of the Dagum distributions in applied economics and points out parallel developments in several branches of the applied statistics literature. The main aim of this paper is to define a bivariate Dagum distribution so that the marginals have Dagum distributions. It is observed that the joint probability density function and the joint cumulative distribution function can be expressed in closed forms. Several properties of this distribution such as marginals, conditional distributions and product moments have been discussed. The maximum likelihood estimates for the unknown parameters of this distribution and their approximate variance-covariance matrix have been obtained. Some simulations have been performed to see the performances of the MLEs. One data analysis has been performed for illustrative purpose.

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A Study on the Substation Reliability Assessment Using Weibull Distribution (와이블분포를 이용한 변전소 신뢰도 평가에 관한 연구)

  • Kim, Gwang-Won
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.1
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    • pp.7-14
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    • 2002
  • In power system study, relibility assessment has been an important topic during past several decards because sudden power interruption can bring about enormous economic loss. although the size of a substation is smaller than that of generation system or transmission system, switching actions after fault(s) make reliability assessment of substation rather complex situations such as switching actions easily and permit various probability distributions in describing substation elements. Despite this ability of Monte Carlo simulation, one-parameter exponential distribution is still popular in this reliability assessment. This paper examines the characteristics of several two-parameter probability distributions, and offers new parameter decision rule based on average and variance of the target to be modelled. In case study, this paper shows the profits by using Weibull distribution which is one of two-parameter probabilistic distributions instead of exponential one.

A Study on Store Image and Clothing Satisfaction of the Clothing Distribution type (의류 유통업태의 점포이미지와 의복만족도에 관한 연구)

  • 임숙자;김선희
    • Journal of the Korean Society of Clothing and Textiles
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    • v.23 no.2
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    • pp.185-195
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    • 1999
  • The purpose of this study is to identify store image and clothing satisfaction of various clothing distribution type and is to compare the difference due to demographic variables. The data were obtained 407 housewives using questionnaire. The results were as follows. First Store image of clothing distribution types was found significant differences in product service atmosphere. Second Clothing satisfaction of clothing distribution types was founded significant differences in price brand name fashion design material sewing size. Third The new distribution types in general were not visited upon despite their high degree of recognition and using experience of new distribution types was founded significant differences in Store image of new distribution types. Fourth Among demographic variables significant difference in usage of the distributions was founded. Fifth Among demographic variables significant difference in usage of the distributions was founded. Fifth Among demographic variables significant difference in clothing satisfaction of the distributions was founded.

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Initial Particle Size Effects on Sintering and Dielectric Properties of $Pb>(Fe_1/2Nb_1/2)O_3$ (초기입자크기가 $Pb>(Fe_1/2Nb_1/2)O_3$의 소결 및 유전성에 미치는 영향)

  • 박경봉;김태희;윤기현
    • Journal of the Korean Ceramic Society
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    • v.29 no.9
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    • pp.711-718
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    • 1992
  • Pb(Fe1/2Nb1/2)O3 was prepared by the molten salt synthesis method using an equimolar mixture of NaCl-KCl. Initial particle size could be controlled by varying the weight ratio of the NaCl-KCl to raw materials from 0.1 to 1.0, and the initial particle size effects on the sintering and dielectric properties of Pb(Fe1/2Nb1/2)O3 were investigated at the sintering temperature range from 90$0^{\circ}C$ to 105$0^{\circ}C$. As the weight ratio of salt increased, the average particle size decreased and the particle size distributions tended to narrow. As the initial particle size decreased, the linear shrinkage and density increased due to the promotion of densification. Dielectric constant increased with decreasing the initial particle size resulting from the increase of density and grain size.

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Discrimination of Volcanic Ash and Asian Dust (Hwangsa) in Core Sediments from the South Korea Plateau (East Sea) Using Characteristics of Grain-size Distributions (입도 분포 특성을 이용한 동해 남한국대지 시추 퇴적물 중 화산재와 황사의 구분)

  • LEE, HONG-WON;JANG, JUN-HO;BAHK, JANG-JUN
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.26 no.2
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    • pp.135-144
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    • 2021
  • End-member (EM) analysis of grain-size distribution data for detrital fractions of IODP Site U1430 core sediments from the South Korea Plateau (East Sea) identified 4 EMs grain-size populations (EM) which represent either Asian dusts (Hwangsa) or volcanic ashes. The two EMs representing volcanic ashes consist of fine and coarse glass shards with various morphologies and constitute 0-82% of the total grain-size distributions. The 33% mixing percentage of volcanic ash EMs seems appropriate for a cut-off value for discrimination of grain-size data influenced by volcanic ash input from those dominated by Hwangsa.

Frequency Distribution for Soybean Seed Size in $F_{2}\; and\; F_{3}$ Generation ($F_{2}\; and\; F_{3}$ 세대에서 대두 종자크기에 대한 빈도분포)

  • ;James E. Specht
    • Journal of Life Science
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    • v.7 no.4
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    • pp.355-357
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    • 1997
  • Seed size is a important yield components in soybean (Glycine max L.). The seed size frequency distributions in the mating between two G. max parents possessing quite different seed size exhibited a continuous distribution in the F$_{2}$ and F$_{3}$ generations. A progeny seed size equal to that of either parent was not observed in either generation. The population mean seed size in each generation was less than the mid-parent, with the distribution of lines skewed toward the small seeded parent.

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Design of Median Control Chart for Nonnormally Distributed Processes (비정규분포공정(非正規分布工程)에서 메디안특수관리도(特殊管理圖)의 모형설계(模型設計))

  • Sin, Yong-Baek
    • Journal of Korean Society for Quality Management
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    • v.15 no.2
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    • pp.10-19
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    • 1987
  • Statistical control charts are useful tools to monitor and control the manufacturing processes and are widely used in most Korean industries. Many Korean companies, however, do not always obtain desired results from the traditional control charts by Shewhart such as the $\overline{X}$-chart, X-chart, $\widetilde{X}$-chart, etc. This is partly because the quality charterstics of the process are not distributed normally but are skewed due to the intermittent production, small lot size, etc. In the Shewhart $\overline{X}$-chart, which is the most widely used one in Korea, such skewed distributions make the plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such shortcomings in nonnormally distributed processes, a distribution-free type of confidence interval can be used, which should be based on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for nonnormal distributions may be easily analyzed. Control limits and central lines are given for the more famous nonnormal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, and Truncated-normal distributions.

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