• Title/Summary/Keyword: density function

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Flow pattern characteristics in vertical two phase flow by PDF and signals from conductance probe (確率密度函數와 電導 Prode信號에 의한 垂直二相流의 流動樣式特性)

  • Son, Byung-Jin;Kim, In-Suhk;Lee, Jin
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.6
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    • pp.814-822
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    • 1986
  • Flow patterns and its transitions in vertical two phase flow of air-water isothermal flow are identified objectively by void output signals and moments computed from the Probability Density Function which is associated with the statistical measurement for time average local void fractions using conductance probe. It has been shown that the probe output signals, PDF distributions and its moments are deterministic criteria of flow pattern and transition classification.

A Study on the Combustion Characteristics of Swirling Jet Combustor (선회분류 연소기의 연소특성에 관한 연구)

  • 심순용;손강호;이창식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.2
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    • pp.492-501
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    • 1994
  • This study is an analysis of the turbulent diffusion flame with swirl flow and the calculated results are compared with experimental data in case of various swirl numbers and air-fuel rations. The mathematical model is restricted to single-phase, diffusion controlled combustion with swirl flow. Values of local flow properties were obtained by solving appropriate differential equation for continuity, momentum, stagnation enthalpy, concentration, turbulence energy, dissipation rate of turbulence energy, and the mean square of concentration fluctuation. The method is proposed for calculating the local probability of chemical reaction based on the use of the probability density function for the mixture fraction.

Mixture of K Normal Distributions by Dyar's Law

  • Yun, Sang-Up
    • Journal of the Korean Statistical Society
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    • v.9 no.1
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    • pp.31-38
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    • 1980
  • The problem considered in this paper can be defiened as follows. Consider observations $x_1, x_2, \cdot, x_n$ which are assumed to come from a mixed population of the density function, $$f(x) = \sum^m_{k=1} pkf_k(x)$$ where m is the number of subpoulations and $p_k$ is the proportion of subpopulation k such that $\sum^m_{k=1} pk=1, 0

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A Study on an Improved LBG Algorithm to Design the Code Book of VQ (VQ의 코드북 생성을 위한 LBG 알고리즘의 개선에 관한 연구)

  • 김장한
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.1A
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    • pp.48-55
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    • 2000
  • In this paper, an assumption to design a quantizer, is proposed that if one small region of a probability density function is represented larger probability and bigger total error than another neighbour region, then the quantizer is not optimal. It is tested when the probability functions are Gaussian, Laplacian and uniform density function by the computer simulations. A new LBG algorithm which originates from this assumption in addition to LBG algorithm, is designed for the vector quantizer. The new LBG algorithm presents better performance than the original LBG algorithm in the average error and the variance of the error.

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Urban Stormwater Capture Curve using 3-Parameter Mixed Exponential Probability Density Function (3변수 혼합 지수 확률밀도함수를 이용한 도시 강우 유출수 포착곡선의 작성)

  • Han, Suhee;Park, Moo Jong;Kim, Sangdan
    • Journal of Korean Society on Water Environment
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    • v.24 no.4
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    • pp.430-435
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    • 2008
  • In order to design Non-point source management, the aspect of statistical features of the entire precipitation data should be focused since non-point source discharge is driven by continuous rainfall runoffs. 3-parameter mixed exponential probability density function is used to establish urban stormwater capture curve instead of previous single-parameter exponential PDF. Then, recent 10-year data in Busan are applied to establish the curve. The result shows that 3-parameter mixed PDF gives better resolution.

The Estimation of the Surface Sidelobe Clutter Distribution for the HPRF Waveform of the M/W Seeker (마이크로파 탐색기의 HPRF 파형에 대한 지표면 부엽 클러터 분포의 추정)

  • Kim, Tae-Hyung;Byun, Young-Jin;Yi, Jae-Woong
    • Journal of the Korea Institute of Military Science and Technology
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    • v.12 no.1
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    • pp.1-7
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    • 2009
  • Tracking and detecting targets by the M/W seeker is affected by the clutter reflecting from the earth's surface. In order to detect the look-down retreating targets, which appear in the sidelobe clutter region, in the M/W seeker of High PRF mode, it is necessary to understand statistical characteristics of the surface sidelobe clutter. Statistical analysis of sidelobe clutter is conducted for several configurations of the surface using data obtained by the CFT (Captive Flight Test) of the M/W seeker in High PRF mode. The probability density function(PDF) fitting is conducted for several configuration and conditions of the surface. PDFs and PDF parameters, which best describe statistical distribution of sidelobe clutter, are estimated.

Reliability analysis by numerical quadrature and maximum entropy method

  • Zhu, Tulong
    • Structural Engineering and Mechanics
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    • v.3 no.2
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    • pp.135-144
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    • 1995
  • Since structural systems may fail in any one of several failure modes, computation of system reliability is always difficult. A method using numerical quadrature for computing structural system reliability with either one or more than one failure mode is presented in this paper. Statistically correlated safety margin equations are transformed into a group of uncorrelated variables and the joint density function of these uncorrelated variables can be generated by using the Maximum Entropy Method. Structural system reliability is then obtained by integrating the joint density function with the transformed safety domain enclosed within a set of linear equations. The Gaussian numerical integration method is introduced in order to improve computational accuracy. This method can be used to evaluate structural system reliability for Gaussian or non-Gaussian variables with either linear or nonlinear safety boundaries. It is also valid for implicit safety margins such as computer programs. Both the theory and the examples show that this method is simple in concept and easy to implement.

Development of the Most Generalized Form of the Triadic Operating Policy and Derivation of its Corresponding Expected Busy Period (가장 일반화된 형태의 삼변수 운용방침 개발과 그에 따른 Busy Period 기대값 유도)

  • Rhee, Hahn-Kyou;Oh, Hyun-Seung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.32 no.4
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    • pp.161-168
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    • 2009
  • The most generalized form of the triadic operating policy for an M/G/1 queueing model is developed. It consists of three simple N, T and D operating policies and has a peculiar structure possessing concepts of dyadic policies. Using the concept of the pseudo probability density function of the busy period, its expected busy period for the controllable M/G/1 queueing model is derived. Since the obtained result is the most generalized form the triadic polity, the expected busy periods for all known dyadic policies are recovered as special cases from it.

A Nonsymmetric Model of Directional Probability Variation [DPV] for Tanks (전차동체의 피탄각 결정을 위한 비대칭 방향확률분포 모델)

  • 김의환;장원범;이대일
    • Journal of the military operations research society of Korea
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    • v.25 no.1
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    • pp.55-74
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    • 1999
  • In this study, a nonsymmetric model of directional probability variation (dpv), which is fundamental and conforms well to various moving situations of attacking tanks, is obtained based on the Whittaker's theory. It is shown that it produces the same expression of the probability density function as the Whittaker's under the special moving condition of an attacking tank. Using the derived dpvs, the probability densities for the various cases of some examples are calculated numerically to verify the derived formulas, and compared with other existing symmetrical distributions widely used to grasp characteristics of them. As a result, it is noted that the plots of the probability density function for various cases selected exhibit very different and useful behavioral features. Applying the results with respect to the every tank in the computer simulation of engagement between two tank forces, it is expected that more reasonable shot distributions can be given comparing with other existing symmetrical ones. The derived dpvs may be utilized to decide shot distribution of other weapon systems through small modification.

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Characterization of ECR Plasma by Using Ion Analyzer and Its Silicon Etching (이온 분석기에 의한 ECR 플라즈마의 특성 분석 및 실리콘 식각에 관한 연구)

  • 이석현;이호준;황기웅
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.5
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    • pp.492-501
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    • 1992
  • In this paper, an ion analyzer is used in conjunction with a Langmuir probe to study the chracteristics of ECR plasma such as the ion temperature, ion current density and electron temperature as the operating pressure, ${\mu}$-wave power and axial position change, Silicon etching has been performed with RF-biasing and its etching chracteristics have been discussed in terms of the ion energy distribution function. The maximum value of ion current density appears in the range of 10S0-3T mbar and the broadening of ion energy distribution function increases as pressure increases. Therefore, as pressure decreases, anisotropy increases but selectivity to photoresist decreases.