• Title/Summary/Keyword: Standard normal Distribution

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Prediction Method for Fire Load Prediction of Bedding and Bags Using a Standard Normal Distribution (정규분포를 활용한 이불과 가방에 대한 화재 하중 예측 방안 연구)

  • Kim, Hyun-Do;Nam, Dong-Koon;Cho, Sung-Woo
    • Fire Science and Engineering
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    • v.29 no.4
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    • pp.7-14
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    • 2015
  • This study suggests basic data for fire-resistant compartments to prevent fires from spreading in a traditional markets. As representative combustible goods handled in traditional markets, bedding and bags were chosen. The fire loads could be calculated using the porosity of the materials based on a standard normal distribution. The bedding and bag porosity were 98.7%, and 94.39%, respectively. The the fire load of bedding is $29.9kg/m^2$, and that of bags is $65.61kg/m^2$.

The Distribution Characteristics of Salt Contaminants with Statistical Method in East Coast (통계적 처리방법을 이용한 동해안 염해 오손물의 분포특성)

  • Choi, Nam-Ho;Park, Kang-Sik;Han, Sang-Ok
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.50 no.3
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    • pp.130-135
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    • 2001
  • In this paper, the distribution characteristics of salt contaminants with the distance from sea in East coast, from Sokcho to Pusan of Korea peninsula were investigated to evaluate the design standard of KEPCO. To get the equivalent salt deposit density(ESDD), conventional brush wiping method was used. As the measuring period is comparatively short, and the measuring interval is long to check the maximum value, acquired ESDD data is very lower than the recommended value in the standard. The measured data didn't follow normal distribution, so it should take the statistical treatment. Through normalizing method, we could get a reliable probability data. In the past investigation, the accumulation characteristics of Japan is consulted to set the criterion, but the climatic condition of Korea is different to Japan. With the comparison of precipitation data and some measured data for long tern accumulation, we could set appropriate accumulation factor.

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Analysis of the Mean and Standard Deviation due to the Change of the Probability Density Function on Tidal Elevation Data (조위의 확률밀도함수 변화에 따른 평균 및 표준편차 분석)

  • Cho, Hong-Yeon;Jeong, Shin-Taek;Lee, Khil-Ha;Kim, Tae-Heon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.22 no.4
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    • pp.279-285
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    • 2010
  • In the process of the probabilistic-based design on the coastal structures, the probability density function (pdf) of tidal elevation data is assumed as the normal distribution function. The pdf shape of tidal elevation data, however, is better-fitted to the double-peak normal distribution function and the equivalent mean and standard deviation (SD) estimation process based on the equivalent normal distribution is required. The equivalent mean and SD (equivalent parameters) are different with the mean and SD (normal parameters) estimated in the condition that the pdf of tidal elevation is normal distribution. In this study, the difference, i.e., estimation error, between equivalent parameters and normal parameters is compared and analysed. The difference is increased as the tidal elevation and its range are increased. The mean and SD differences in the condition of the tidal elevation is ${\pm}400cm$ are above 100 cm and about 80~100 cm, respectively, in Incheon station. Whereas, the mean and SD differences in the condition of the tidal elevation is ${\pm}60cm$ are very small values in the range of 2~4 cm, in Pohang station.

Analysis of Probability Distribution of Muzzle Velocity for Chrome Plated Barrel (크롬도금 포열의 포구속도 확률분포 특성 분석)

  • Kim, Jaekab;Kim, Jaehoon
    • Journal of the Korea Institute of Military Science and Technology
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    • v.24 no.4
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    • pp.401-407
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    • 2021
  • To confirm the change of muzzle velocity and the most suitable probability distribution model of the 155 mm K9 howitzer barrel with chrome plating and changed rifling. Using a statistical program, the muzzle velocity were plotted on a normal distribution, a 2-parameter and 3-parameter Weibull distribution on a probability paper. Also, statistical parameters were estimated and muzzle velocity fitness test and probability of K676 charge were plotted. In both the chrome-plated with standard rifling and changed rifling for K9 barrel, the 2-parameter and 3-parameter Weibull distribution were skewed to the left compared to the normal distribution. It was confirmed that the muzzle velocity of the K9 barrel with chromium-plated is suitable for the normal distribution and 3-parameter Weibull distribution model.

Relationship between ICAC EP-7 and %RMS, Standards for Gas Flow Uniformity inside Electrostatic Precipitators (전기집진기 내부 유동 균일도 평가 기준인 ICAC EP-7과 %RMS 간 상관관계)

  • Shin, Wan-Ho;Hong, Won-Seok;Song, Dong-Keun
    • Journal of Korean Society for Atmospheric Environment
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    • v.26 no.2
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    • pp.234-240
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    • 2010
  • Gas flow uniformity is an important factor to guarantee particle removal performance of electrostatic precipitators (EP), and the gas flow uniformity is evaluated by a fraction of standard deviation to the mean of gas flow distribution (%RMS) or a technical standard, ICAC EP-7, provided by The Institute of Clean Air Companies. In this study, relationship between the ICAC EP-7 and %RMS in evaluation of gas flow uniformity was investigated in terms of flow velocity. The maximum values of %RMS for gas velocity distribution of normal distribution has been obtained, and the maximum values of %RMS with gas velocity distribution satisfying ICAC EP-7 standards were also evaluated. With gas flow distribution obtained from CFD analysis and physical model test of real EP, %RMS values were calculated and it was tested if those gas flow distribution satisfy the criteria specified in ICAC EP-7. The %RMS values satisfying criteria of ICAC have been appeared to have similar values with %RMS values calculated with normal distribution of gas velocities.

Measurement of Joint Aperture Using 3-D Laser Profilometer (3차원 레이저 측정기를 이용한 절리 간극의 측정)

  • 이희석;이연규;이희근
    • Economic and Environmental Geology
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    • v.33 no.4
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    • pp.309-320
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    • 2000
  • Aperture is an important parameter for determining the hydraulic characteristics of fractured media. In this study the topography of artificial rock joint surface was measured using 3D laser profilometer to analyze the aperture distribution. The initial aperture distribution was determined when the contact area became one percent of total joint surface. The initial aperture distribution of granite joint, with the mean value of 0.78 mm and the standard deviation of 0.34 mm was much different from that of the marble joint, with the mean value of 0.57 mm and the standard deviation of 0.26 mm. Apertures of both granite and marble showed normal distributions. Aperture distribution with the contact area of 25% was also analyzed. Mean value was decreased to one third compared to the initial aperture, but the standard deviation was decreased slightly. To determine the spatial correlation of the aperture distribution variogram analysis was carried out on the initial aperture data. Most experimental variograms were fitted well with exponential model. It is expected that the measured aperture characteristics can be used for stochastic analysis of fluid flow through rock joints.

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A Study on the Application of CUSUM Control Charts under Non-normal Process (비정규 공정에서의 누적합 관리도 적용에 관한 연구)

  • Kim, Jong-Geol;Eom, Sang-Jun;Choe, Seong-Won
    • Proceedings of the Safety Management and Science Conference
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    • 2011.11a
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    • pp.535-549
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    • 2011
  • Control chart is most widely used in SPC(Statistical Process Control), Recently it is a critical issue that the standard control chart is not suitable to non-normal process with very small percent defective. Especially, this problem causes serious errors in the reliability procurement, such as semiconductor, high-precision machining and chemical process etc. Procuring process control technique for non-normal process with very small percent defective and perturbation is becoming urgent. Control chart technique in non-normal distribution become very important issue. In this paper, we investigate on research trend of control charts under non-normal distribution with very small percent defective and perturbation, and propose some variable-transformation methods applicable to CUSUM control charts in non-normal process.

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Study on Enumerating the Degree of Similarity in Pairs of the Stnadardized Scores and Lower and Upper tail Probabilites using the Folded Normal Distribution (동형고사에서 표준점수차의 확률분포를 이용한 상사성의 측정과 평가치 산정에 관한 연구)

  • 홍석강
    • The Mathematical Education
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    • v.39 no.2
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    • pp.167-177
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    • 2000
  • In this thesis we concerned with the degree of similarity in pairs of scores having a common mean and variance could express similarity in terms of the absolute difference between the standardized scores. We particulary discussed the distribution of absolute differences between pairs of T scores among many standardized scores and demonstrated the procedures for calculating the lower limit of Med(│d│) values i. e. the maximum possible similarity with medians and correlation coefficients of the equivalent form tests by using the folded normal distribution, although other researchers expressed the degree of similarity using only the standard normal distribution. We also described many cases how to use those techniques and to apply effectively them in real evaluation fields.

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A Research on the Somatotypes of Female College Students

  • Kwon, Sook-Hee
    • International Journal of Human Ecology
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    • v.8 no.1
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    • pp.19-26
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    • 2007
  • The object of this research was to observe the female college 220 students of aged 19-24 for four years and to examine somatotypes distribution; this research intends to contribute to the fitness of clothes by studying the body distribution that affects the clothing structure. The measurement and wearing experiment for somatotypes are done years annually. The average, standard deviation and coefficient of variation was calculated by the SAS program. The research results are as follows: The three somatotypes of side view silhouette (straight type, bend-forward type, lean-back type) showed fairly even distribution. As a result of dressing experiment with the basic bodice pattern, the most influential factor on its suitability was found to be the neck area, shoulder and ease of bodice respectively. The partial body types to observe were categorized as: shoulder(normal, slope, squared), bust(A cup, B cup, C cup), hips (normal, droop, projecting). As for the result for full body type by BMI, normal type was most dominant, and for the categorization by drop, the type A which is with small breasts and large hips was most prevalent.

The Statistical Evaluation of Strength in Fiber Reinforced Metal Laminates (섬유강화금속적층재의 강도에 대한 통계적 평가)

  • 손세원;장정원;이혜영
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.815-819
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    • 1994
  • In this paper, the tensile strength in aluminum alloy 5052, Kevlar 49-fiber reinforced aluminum alloy laminates, and Glass-fiber reinforced aluminum alloy laminates, is statistically evaluated. Prepregs manufactured in Han Kuk Fiber is used and FRMLs is cured by Hot-Press. Standard statistical are used to determine the distribution function which best fits FRMLs strength data. The normal,lpg-normal, and two-parameter Weibull distrbuttion are evaluated using the Kolmogoorov-Smirnov goodness-of-fit test. At the 5% significance level, none of these distribution is rejected. The strength of Aluminum alloy 5052 is best fits to a normal distribution. However, the strength of Kevlar 49-fiber reinforced aluminum alloy laminates and Glass-fiber reinforced aluminum alloy laminates is best fits to a two-parameter Weibull distribution.

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