• Title/Summary/Keyword: Gauss Distribution

Search Result 116, Processing Time 0.027 seconds

Bivariate odd-log-logistic-Weibull regression model for oral health-related quality of life

  • Cruz, Jose N. da;Ortega, Edwin M.M.;Cordeiro, Gauss M.;Suzuki, Adriano K.;Mialhe, Fabio L.
    • Communications for Statistical Applications and Methods
    • /
    • v.24 no.3
    • /
    • pp.271-290
    • /
    • 2017
  • We study a bivariate response regression model with arbitrary marginal distributions and joint distributions using Frank and Clayton's families of copulas. The proposed model is used for fitting dependent bivariate data with explanatory variables using the log-odd log-logistic Weibull distribution. We consider likelihood inferential procedures based on constrained parameters. For different parameter settings and sample sizes, various simulation studies are performed and compared to the performance of the bivariate odd-log-logistic-Weibull regression model. Sensitivity analysis methods (such as local and total influence) are investigated under three perturbation schemes. The methodology is illustrated in a study to assess changes on schoolchildren's oral health-related quality of life (OHRQoL) in a follow-up exam after three years and to evaluate the impact of caries incidence on the OHRQoL of adolescents.

Nonlinear Transient Responses of Isotropic Plates Under Thermo-Acoustic Load (열-음향 복합하중에 놓인 등방성 평판의 비선형 응답특성)

  • Oh, Il-Kwon;Cheng, Tai-Hong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2006.11a
    • /
    • pp.235-238
    • /
    • 2006
  • For high-speed aircraft and high-speed civil transport planes, certain structural skin components are subjected to very large acoustic loads in an elevated thermal environment. In this study, we used the single-mode Fokker-Panck distribution to predict displacements of isotropic plates subject to thermo-acoustic combined load. The single mode was formulated to predict the nonlinear dynamic responses of postbuckled plates under acoustic random excitation. Acoustic random excitation was used with Gauss distribution. Some important effects of the snap-through motion on the dynamic responses of the postbuckled plates are described.

  • PDF

Approximate Approach to Calculating the Order Fill Rate under Purchase Dependence (구매종속성이 존재하는 상황에서 주문충족율을 계산하는 근사법에 관한 연구)

  • Park, Changkyu;Seo, Junyong
    • Journal of the Korean Operations Research and Management Science Society
    • /
    • v.41 no.2
    • /
    • pp.35-51
    • /
    • 2016
  • This paper proposes a new approximate approach to calculate the order fill rate and the probability of filling an entire customer order immediately from the shelf in a business environment under purchase dependence characterized by customer purchase patterns observed in such areas as marketing, manufacturing systems, and distribution systems. The new approximate approach divides customer orders into item orders and calculates fill rates of all order types to approximate the order fill rate. We develop a greed iterative search algorithm (GISA) based on the Gauss-Seidel method to avoid dimensionality and prevent the solution divergence for larger instances. Through the computational analysis that compares the GISA with the simulation, we demonstrate that the GISA is a dependable algorithm for deriving the stationary joint distribution of on-hand inventories in the type-K pure system. We also present some managerial insights.

ESTIMATION OF NET GROUND WATER RECHARGE IN LARGE AQUIFER SYSTEMS BY GENETIC ALGORITHM: A CASE STUDY

  • K. Lakshmi Prasad;A. K. Rastogi
    • Water Engineering Research
    • /
    • v.2 no.3
    • /
    • pp.161-169
    • /
    • 2001
  • Present study deals with the development of a numerical model for the estimation of net annual recharge by coupling the Galerkin's finite element flow simulationl model with the Gauss-Newton-Marquardt optimization technique. The developed coupled numerical model is applied for estimating net annual recharge for Mahi Right Bank Canal (MRBC) project the norms of Groundwater Resources Estimation committee (1984, 1997) and Indian Agricultural research Institute(1983). It is observed that the estimated net recharge by inverse modeling is closer to the net recharge estimated using the water balance approach. Further it is observed that the computed head distribution from the estimated recharge agree closely with the observed head distribution. The study concludes that the developed model for inverse modeling can be successfully applied to large groundwater system involving regional aquifers where reliable recharge estimation always requires considerable time and financial resources.

  • PDF

A Improved Method of Determining Everett Function with Logarithm Function and Least Square Method

  • Hong, Sun-Ki
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
    • /
    • v.22 no.7
    • /
    • pp.16-21
    • /
    • 2008
  • For Preisach model, Everett function from the transient curves is needed to simulate the hysteresis phenomena. However it becomes very difficult to get the function if the it would be made only from experiments. In this paper, a simple and stable procedure using least square method and logarithm function to determine the Everett function which follows the Gauss distribution for interaction field axis is proposed. The characteristics of the parameters used in this procedure are also presented. The proposed method is applied to implement hysteresis loops. The simulation for hysteresis loop is compared with experiments and good agreements could be shown.

DYNAMICAL CHARACTERISTICS OF SUNSPOT CHROMOSPHERES I. ANALYSIS OF CIRCULAR POLARIZATION MEASURED FROM A SUNSPOT

  • KIL HYO SUB;YUN HONG SIK
    • Journal of The Korean Astronomical Society
    • /
    • v.26 no.2
    • /
    • pp.103-114
    • /
    • 1993
  • We have analyzed a set of high resolution photographic line profiles of a Zeeman sensitive Fe I $\lambda$ 6302.5 line taken with the Universal Birefringent Filter over a single round sunspot (SPO 5007) at the Sacramento Peak Solar Observatory. The observed spectra recorded on films are traced by PDS and the traced densities are converted to relative intensity by means of IRAF. The Stokes I and V profiles are then constructed by adding together and subtracting from each other the left and right handed circular polarizations, respectively. The reduced I and V profiles are analyzed by means of the coarse analysis(Auer et al.(1977), Skumanich and Lites(1987)) with the use of inversion technique. It is found that the umbral field strength is about 3000 gauss and the field distribution follows closely the emperical model proposed by Wittmann(1974).

  • PDF

Regression models generated by gamma random variables with long-term survivors

  • Ortega, Edwin M.M.;Cordeiro, Gauss M.;Hashimoto, Elizabeth M.;Suzuki, Adriano K.
    • Communications for Statistical Applications and Methods
    • /
    • v.24 no.1
    • /
    • pp.43-65
    • /
    • 2017
  • We propose a flexible cure rate survival model by assuming that the number of competing causes of the event of interest has the Poisson distribution and the time for the event follows the gamma-G family of distributions. The extended family of gamma-G failure-time models with long-term survivors is flexible enough to include many commonly used failure-time distributions as special cases. We consider a frequentist analysis for parameter estimation and derive appropriate matrices to assess local influence on the parameters. Further, various simulations are performed for different parameter settings, sample sizes and censoring percentages. We illustrate the performance of the proposed regression model by means of a data set from the medical area (gastric cancer).

Error Performance of BPSK and QPSK Signals with Diversity Reception in Mobile-Satellite Communication Channel (이동 위성 통신 채널에서 다이버시티 수신기법을 적용한 BPSK 및 QPSK 신호의 오율 특성)

  • 박해천;강영흥;황인관;조성준
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.5 no.3
    • /
    • pp.36-47
    • /
    • 1994
  • The error performance of BPSK and QPSK signals with diversity reception in mobile-satellite channel is investigated considering nonlinearity of TWT (Traveling Wave Tube) amplifier in the presence of AWGN(Additive White Gaussian Noise) on the uplink and downlink paths. It is assumed that the fading on the dounlink path forms a Rician distribution. The Rician distribution is approximated by discrete probability values. The values are firstly found by Classical Moment Technique.

  • PDF

THE EFFECTS OF PLANETARY ROTATION ON THE EXOSPHERIC DENSITY DISTRIBUTIONS OF THE EARTH AND MARS

  • KIM YONG HA;SON SUJEONG
    • Journal of The Korean Astronomical Society
    • /
    • v.33 no.2
    • /
    • pp.127-135
    • /
    • 2000
  • We investigate the effects of planetary rotation on the exospheres of the earth and Mars with simple collisionless models. We develope a numerical code that computes exospheric densities by integrating velocity functions at the exobase with a 10 point Gauss method. It is assumed in the model that atoms above the exobase altitude move collisionlessly on an orbit under the planet's gravity. Temperatures and densities at the exobase over the globe are adopted from MSIS-86 for the earth and from Bougher et al's MTGCM for Mars. For both the earth and Mars, the rotation affects the exospheric density distribution significantly in two ways: (1) the variation of the exospheric density distribution is shifted toward the rotational direction with respect to the variation at the exobase, (2) the exospheric densities in general increase over the non-rotating case. We find that the rotational effects are more significant for lower thermospheric temperatures. Both the enhancement of densities and shift of the exospheric distribution due to rotation have not been considered in previous models of Martian exosphere. Our non-spherical distribution with the rotational effects should contribute to refining the hot oxygen corona models of Mars which so far assume simple geometry. Our model will also help in analyzing exospheric data to be measured by the upcoming Nozomi mission to Mars.

  • PDF

The Gauss, Rayleigh and Nakagami Probability Density Distribution Based on the Decreased Exponential Probability Distribution (감쇄지수함수 확률분포에 의한 가우스, 레일레이, 나카가미 확률 밀도 분포)

  • Kim, Jeong-Su;Lee, Moon-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
    • /
    • v.17 no.6
    • /
    • pp.59-68
    • /
    • 2017
  • Random process plays a major role in wireless communication system to analytically derive the probability distribution function of the various statistical distribution. In this paper, we derive the decreasing function of the exponential distribution under the given condition which is expressed as wireless channel condition. The probability distribution function of Gaussian, Laplacian, Rayleigh and Nakagami distribution are also derived. Extensive simulation results of these statistical distributions are provided to prove that random process has a significant role in the wireless communications. In addition, the Rayleigh and Rician channels show specific examples of visible distance communication and invisible distance channel environment. This paper is motivated by that we assume a block fading channel model, where the channel is constant during a transmission block and changes independently between consecutive transmission block, can achieve a better performance in high SNR regime with i.i.d channel. This algorithm for realizing these transforms can be applied to the Kronecker MIMO channel.