• Title/Summary/Keyword: Beta Distribution

Search Result 776, Processing Time 0.023 seconds

Effect of Basis Weight of Handsheet and Machine Made Sheet on Formation (평량에 따른 수초지와 기계지의 지합 특성)

  • Youn, Hye-Jung;Chin, Seong-Min
    • Journal of Korea Technical Association of The Pulp and Paper Industry
    • /
    • v.38 no.4 s.117
    • /
    • pp.24-30
    • /
    • 2006
  • Formation which is an indicator of nonuniformity in fiber distribution is concerned with small scale variation in roughness, optical properties, print density, and so on. This study evaluated the formation of sheets which were made usning handsheet former and paper-machine with hydraulic headbox. Optical method and ${\beta}-ray$ method were used for formation test. The fiber type, freeness and basis weight of sheet were considered as variables. The formation of handsheet was affected by fiber type and freeness, and floe size distribution was influenced by basis weight. For machine made sheet, its formation seemed to be dependent on the hydraulic forces in headbox and former. When two formation test methods were compared, there was the highest relationship between optical formation index and normalized standard deviation from ${\beta}-ray$ method.

On the Effect of Presumed PDF and Intermittency on the Numerical Simulation of a Diffusion Flame

  • Riechelmann, Dirk;Fujimori, Toshiro
    • Journal of the Korean Society of Combustion
    • /
    • v.6 no.2
    • /
    • pp.23-28
    • /
    • 2001
  • In the present work, the effect of PDF selection and intermittency on the result of the numerical simulation are examined by the simulation of a turbulent methane-air jet diffusion flame. As to the PDFs, beta-function and clipped Gaussian are considered. Results for the pure mixing jet are compared with experimental results. Then, the turbulent flame is calculated for the same conditions and the results obtained for the several models are compared. It is found that the clipped Gaussian distribution coupled with consideration of intermittency recovers the experimental data very well. As to the reacting flow results, the main overall properties of the turbulent jet diffusion flame such as maximum flame temperature are less affected by the choice of the PDF. Flame height and NO emissions, on the contrary, appear to be significantly influenced.

  • PDF

Transient Responses of an Airplane Taking off from and Landing Very Large Floating Stricture in Waves (항공기 이 .착륙 시 초대형 부유식 해양구조물의 시간 영역 응답 해석)

  • 신현경;이호영;임춘규;강점문;윤명철
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
    • /
    • 2000.10a
    • /
    • pp.63-67
    • /
    • 2000
  • Up to this day, Most studies of hydroelasticity are inclined to frequency domain atnlysis. Thos amlysis Q the landing, take-4, and dropping of airaqft on a structure. So, the concern of this prrper is a tra a VLFS subjected to dymmic lazd induced by airplane larndirrg and take-off. To predict added mass, dampr exciting force, the source-dipole distribution method were used The responses are accomplished by Fdoimain analysis method is based on Newmark $\beta$ method to pursuit time step pnzcedure taking advantage function for hvdrodvnumic effects.

  • PDF

Higher Order Statistical Analysis of Sound-Vibration Signal in Rolling Element Bearing with defects (결함이 있는 회전요소 베어링에서 음향-진동 신호의 고차 통계해석)

  • 이해철
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
    • /
    • 1999.10a
    • /
    • pp.49-56
    • /
    • 1999
  • This paper present a study on the application of sound pressure and vibration signals to detect the presence of defects in a rolling element bearing using a statistical analysis method. The well established statistical parameters such as the crest factor and the distribution of moments including kurtosis and skewless are utilized in this study. In addition, other statistical parameters derived from the beta distribution function are also used. A comparison study on the performance of the different types of parameter used is also performed. The statistical analysis is used because of its simplicity and quick computation. Under ideal conditions, the statistical method can be used to identify the different types of defect present in the bearing. In addition, the results also reveal that there is no significant advantages in using the beta function parameters when compared to using kurtosis and the crest factor for detecting and identifying defects in rolling element bearings from both sound and vibration signals.

  • PDF

On Estimating Good Reliability Coefficient when the Test is Split into Several Formats of Subtests and Standardizing the Raw Score, whose Distribution is Departed from Normality. (부문항이 분할된 고사에서 우량한 신뢰도 계수추경과 그 평가치 분포의 정규화)

  • 홍석강
    • The Mathematical Education
    • /
    • v.41 no.1
    • /
    • pp.109-126
    • /
    • 2002
  • In this thesis. we estimated the good reliability coefficient ${\beta}$$\sub$k/ that is unbiased, consistent and more efficient than Cronbach's ${\alpha}$$\sub$k/ in splitting of a test into several formats of subtests and several properties of ${\beta}$$\sub$k/ are also represented. The tables of coefficients of skewness and kurtosis are represented to test the significance of departures from normality. We got the cumulative normal plots of z'from the distribution which is departed from normality using the Bock's approximation procedure and we finally enumerated the transformed standardized scores z'and a new raw score X' which enable us to proceed further evaluation procedures depending on our assessment policy.

  • PDF

A Study on the Condition Monitoring for Rolling Element Bearing using Higher Order Statistical Analysis of Sound-Vibration Signal (음향-진동 신호의 고차 통계해석을 이용한 회전요소 베어링의 상황감시에 관한 연구)

  • 이해철;이준서;차경옥
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.24 no.4
    • /
    • pp.405-413
    • /
    • 2000
  • This paper present study on the application of sound pressure and vibration signals to detect the presence of defects in a rolling element bearing using a statistical analysis method. The well established statistical parameters such as the crest factor and the distribution of moments including kurtosis and skew are utilized in this study. In addition, other statistical parameters derived from the beta distribution function are also used. A comparison study on the performance of the different types of parameter used is also performed. The statistical analysis is used because of its simplicity and quick computation. Under ideal conditions, the statistical method can be used to identify the different types of defect present in the bearing. In addition, the results also reveal that there is no significant advantages in using the beta function parameters when compared to using kurtosis and the crest factor for detecting and identifying defects in rolling element bearings from both sound and vibration signals.

  • PDF

An Examination of Sediment Discharge Computation Errors Related to Imprecise Factors (부정확한 인자와 관계된 유사량 산정 오류에 대한 검증)

  • 정관수
    • Water for future
    • /
    • v.29 no.3
    • /
    • pp.129-142
    • /
    • 1996
  • This study investigates the magnitude of errors that can be expected in integrating sediment concentration in a vertical, basede on a single-point measurement, because of errors in input data. Potential error sources, including sampler location, water surface elevation, bed elevation, fall velocity, $\beta$ value, and $\kappa$ value were comparatively examined using data from a special study on the Rio Grande Conveyance channel in New Mexico. It is concluded that simple forms of equations for the vertical distribution of velocity and sediment concentration based on a single-point field sample of suspended sediment. The most uncertain point in the computation is related to the Rouse number z in the equation for the vertical concentration distribution of suspended sediment.

  • PDF

A Study on Optimal sampling acceptance plans with respect to a linear loss function and a beta-binomial distribution

  • Kim, Woo-chul;Kim, Sung-ho
    • Journal of Korean Society for Quality Management
    • /
    • v.10 no.2
    • /
    • pp.25-33
    • /
    • 1982
  • We discuss a model for acceptance/rejection decision regarding finite populations. The model is based on a beta-binomial prior distribution and additive costs -- relative sampling costs, relative sorting costs and costs of accepted defectives. A substantial part of the paper is devoted to constructing a Bayes sequential sampling acceptance plan (BSSAP) for attributes under the model. It is shown that the Bayes fixed size sampling acceptance plans (BFSAP) are better than the Hald's (1960) single sampling acceptance plans based on a uniform prior. Some tables and examples are provided for comprisons of the minimum Bayes risks of the BSSAP and those of the BFSAP based on a uniform prior and the model.

  • PDF

On Efficient Estimation of the Extreme Value Index with Good Finite-Sample Performance

  • Yun, Seokhoon
    • Journal of the Korean Statistical Society
    • /
    • v.28 no.1
    • /
    • pp.57-72
    • /
    • 1999
  • Falk(1994) showed that the asymptotic efficiency of the Pickands estimator of the extreme value index $\beta$ can considerably be improved by a simple convex combination. In this paper we propose an alternative estimator of $\beta$ which is as asymptotically efficient as the optimal convex combination of the Pickands estimators but has a better finite-sample performance. We prove consistency and asymptotic normality of the proposed estimator. Monte Carlo simulations are conducted to compare the finite-sample performances of the proposed estimator and the optimal convex combination estimator.

  • PDF

Measuring Process Capability with Beta Distributions (베타분포의 공정능력 평가)

  • 김진수;김홍준
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.22 no.50
    • /
    • pp.281-291
    • /
    • 1999
  • This paper is a brief review of the different procedures that are available for fitting theoretical distributions to data. The use of each technique is illustrated by reference to a distribution system which including the Pearson, Johnson and Burr functions. These functions can be used to calculate percent out of specification. The main objectives of this study are to propose a new methods for estimating a measure of process capability for Beta distributed variable data by using the percentage nonconforming. The comprehensive information for the process can be used to evaluate more accurately process capability.

  • PDF