• Title/Summary/Keyword: Laplace distribution

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비축대칭 열하중을 받는 원통튜브의 점탄성 응력해석 (Viscoelastic stress analysis of nonaxisymmetrically heated cylindrical tubes)

  • 박진석;서금석;김종인
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.396-403
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    • 1991
  • A solution is presented for the computation of the elastic-creep stresses in a hollow cylinder subjected to nonaxisymmetric temperature distribution. The creep problem is treated by the Maxwell creep model. Laplace transformation is used for reformation of the governing equation of elastic problem and Hooke's law in a function of .gamma. , .theta. , and creep constant. The governing equation is set up using the Airy stress function which leads to the biharmonic equation. The solution is obtained by using Fourer series method and Laplace inverse method used to obtain the stress components which include the variation of time. This solution shows excellent agreement with Lamkin's and Boley & Weiner's solution. The viscoelastic stresses are also obtained for the fuel rob tube subjecting nonaxisymmetric thermal load.

IEEE 다중경로 채널에서 다중접속 M진 변조 초광대역 시스템을 위한 개선된 Rake 수신기 (Advanced Rake Receiver for Multiple Access M-ary Modulation UWB System in the IEEE Multipath Channel)

  • 안진영
    • 전자공학회논문지
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    • 제51권12호
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    • pp.12-19
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    • 2014
  • 본 논문에서는 다중사용자 간섭이 존재하는 M-ary TH-PPM 시스템에서 확률분포 모델에 기반하는 개선된 초광대역 Rake 수신기법이 연구되었다. Rake 수신기의 성능 향상을 위해서 다중사용자 간섭과 잡음의 혼합 분포를 유연하게 근사할 수 있는 확률모델이 필요하며, 본 연구에서는 라플라스분포와 첨두치 정합(kurtosis matching) 기법이 적용된 일반화된 정규 라플라스 모델이 고려되었다. 각 확률분포에 기반하는 Rake 수신기의 성능이 IEEE 다중 경로 페이딩 채널에서 평가되었고 종래의 Rake 수신기와 비교 되었다. 제안된 접근법은 종래의 Rake 수신기보다 더 우수한 BER 성능을 보인다.

New Inference for a Multiclass Gaussian Process Classification Model using a Variational Bayesian EM Algorithm and Laplace Approximation

  • Cho, Wanhyun;Kim, Sangkyoon;Park, Soonyoung
    • IEIE Transactions on Smart Processing and Computing
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    • 제4권4호
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    • pp.202-208
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    • 2015
  • In this study, we propose a new inference algorithm for a multiclass Gaussian process classification model using a variational EM framework and the Laplace approximation (LA) technique. This is performed in two steps, called expectation and maximization. First, in the expectation step (E-step), using Bayes' theorem and the LA technique, we derive the approximate posterior distribution of the latent function, indicating the possibility that each observation belongs to a certain class in the Gaussian process classification model. In the maximization step, we compute the maximum likelihood estimators for hyper-parameters of a covariance matrix necessary to define the prior distribution of the latent function by using the posterior distribution derived in the E-step. These steps iteratively repeat until a convergence condition is satisfied. Moreover, we conducted the experiments by using synthetic data and Iris data in order to verify the performance of the proposed algorithm. Experimental results reveal that the proposed algorithm shows good performance on these datasets.

A Model for a Continuous State System with (s,S) Repair Policy

  • Park, Won-J.;Kim, Eui-Yong;Kim, Hong-Gie
    • Journal of the Korean Statistical Society
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    • 제25권1호
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    • pp.111-122
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    • 1996
  • A model for a system whose state changes continuously with time is introduced. It is assumed that the system is modeled by a Brownian motion with negative drift and an absorbing barrier at the origin. A repairman arrives according to a Poisson process and repairs the system according to an (s,S) policy, i.e., he increases the state of the system up to S if and only if the state is below s. A partial differential equation is derived for the distribution function of X(t), the state of the system at time t, and the Laplace-Stieltjes transform of the distribution function is obtained by solving the partial differential equation. For the stationary case the explicit expression is deduced for the distribution function of the stationary state of the system.

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Bayesian Typhoon Track Prediction Using Wind Vector Data

  • Han, Minkyu;Lee, Jaeyong
    • Communications for Statistical Applications and Methods
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    • 제22권3호
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    • pp.241-253
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    • 2015
  • In this paper we predict the track of typhoons using a Bayesian principal component regression model based on wind field data. Data is obtained at each time point and we applied the Bayesian principal component regression model to conduct the track prediction based on the time point. Based on regression model, we applied to variable selection prior and two kinds of prior distribution; normal and Laplace distribution. We show prediction results based on Bayesian Model Averaging (BMA) estimator and Median Probability Model (MPM) estimator. We analysis 8 typhoons in 2006 using data obtained from previous 6 years (2000-2005). We compare our prediction results with a moving-nest typhoon model (MTM) proposed by the Korea Meteorological Administration. We posit that is possible to predict the track of a typhoon accurately using only a statistical model and without a dynamical model.

A new class of life distributions based on unknown age

  • El-Di, M.M. Mohie;Abu-Youss, S.E.;Al, Nahed S.A.
    • International Journal of Reliability and Applications
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    • 제16권1호
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    • pp.27-34
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    • 2015
  • Based on increasing concave ordering a new class of life distribution is introduced. The new class of life distribution is named used better than aged in increasing concave ordering and is denoted by UBAC(2). The implication of our proposed class of life distribution with other classes is given. The properties of UBAC(2) under convolution, discrete mixture and formation of a coherent system are studied. Finally a characterization of the proposed class of life distributions by Laplace transform is discussed.

HYDROMAGNETIC FLUCTUATING FLOW OF A COUPLE STRESS FLUID THROUGH A POROUS MEDIUM

  • Zakaria, M.
    • Journal of applied mathematics & informatics
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    • 제10권1_2호
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    • pp.175-191
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    • 2002
  • The equations of a polar fluid of hydromagnetic fluctuating through a porous medium axe cast into matrix form using the state space and Laplace transform techniques the resulting formulation is applied to a variety of problems. The solution to a problem of an electrically conducting polar fluid in the presence of a transverse magnetic field and to a problem for the flow between two parallel fixed plates is obtained. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results for the velocity, angular velocity distribution and the induced magnetic field are given and illustrated graphically for each problems.

Thermomechanical interactions in transversely isotropic magneto thermoelastic solid with two temperatures and without energy dissipation

  • Lata, Parveen;Kaur, Iqbal
    • Steel and Composite Structures
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    • 제32권6호
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    • pp.779-793
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    • 2019
  • The purpose of this research paper is to depict the thermomechanical interactions in transversely isotropic magneto thermoelastic solid with two temperatures and without energy dissipation in generalized LS theories of thermoelasticity. The Laplace and Fourier transform techniques have been used to find the solution of the problem. The displacement components, stress components, and conductive temperature distribution with the horizontal distance are computed in the transformed domain and further calculated in the physical domain numerically. The effect of two temperature and relaxation time are depicted graphically on the resulting quantities.

역-레일리와 레일리 분포 특성을 이용한 유한고장 NHPP모형에 근거한 소프트웨어 신뢰성장 모형에 관한 비교연구 (A Comparative Study of Software finite Fault NHPP Model Considering Inverse Rayleigh and Rayleigh Distribution Property)

  • 신현철;김희철
    • 디지털산업정보학회논문지
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    • 제10권3호
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    • pp.1-9
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    • 2014
  • The inverse Rayleigh model distribution and Rayleigh distribution model were widely used in the field of reliability station. In this paper applied using the finite failure NHPP models in order to growth model. In other words, a large change in the course of the software is modified, and the occurrence of defects is almost inevitable reality. Finite failure NHPP software reliability models can have, in the literature, exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, proposes the inverse Rayleigh and Rayleigh software reliability growth model, which made out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on mean square error (MSE) and coefficient of determination($R^2$), for the sake of efficient model, were employed. In order to insurance for the reliability of data, Laplace trend test was employed. In many aspects, Rayleigh distribution model is more efficient than the reverse-Rayleigh distribution model was proved. From this paper, software developers have to consider the growth model by prior knowledge of the software to identify failure modes which can helped.