• Title/Summary/Keyword: poisson Model

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Hurdle Model for Longitudinal Zero-Inflated Count Data Analysis (영과잉 경시적 가산자료 분석을 위한 허들모형)

  • Jin, Iktae;Lee, Keunbaik
    • The Korean Journal of Applied Statistics
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    • v.27 no.6
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    • pp.923-932
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    • 2014
  • The Hurdle model can to analyze zero-inflated count data. This model is a mixed model of the logit model for a binary component and a truncated Poisson model of a truncated count component. We propose a new hurdle model with a general heterogeneous random effects covariance matrix to analyze longitudinal zero-inflated count data using modified Cholesky decomposition. This decomposition factors the random effects covariance matrix into generalized autoregressive parameters and innovation variance. The parameters are modeled using (generalized) linear models and estimated with a Bayesian method. We use these methods to carefully analyze a real dataset.

A Performance Analysis Model of PC-based Software Router Supporting IPv6-IPv4 Translation for Residential Gateway

  • Seo, Ssang-Hee;Kong, In-Yeup
    • Journal of Information Processing Systems
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    • v.1 no.1 s.1
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    • pp.62-69
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    • 2005
  • This paper presents a queuing analysis model of a PC-based software router supporting IPv6-IPv4 translation for residential gateway. The proposed models are M/G/1/K or MMPP-2/G/1/K by arrival process of the software PC router. M/G/1/K is a model of normal traffic and MMPP-2/G/1/K is a model of burst traffic. In M/G/1/K, the arriving process is assumed to be a Poisson process, which is independent and identically distributed. In MMPP-2/G/1/K, the arriving process is assumed to be two-state Markov Modulated Poisson Process (MMPP) which is changed from one state to another state with intensity. The service time distribution is general distribution and the service discipline of the server is processor sharing. Also, the total number of packets that can be processed at one time is limited to K. We obtain performance metrics of PC-based software router for residential gateway such as system sojourn time blocking probability and throughput based on the proposed model. Compared to other models, our model is simpler and it is easier to estimate model parameters. Validation results show that the model estimates the performance of the target system.

Threshold Voltage Dependence on Bias for FinFET using Analytical Potential Model

  • Jung, Hak-Kee
    • Journal of information and communication convergence engineering
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    • v.8 no.1
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    • pp.107-111
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    • 2010
  • This paper has presented the dependence of the threshold voltage on back gate bias and drain voltage for FinFET. The FinFET has three gates such as the front gate, side and back gate. Threshold voltage is defined as the front gate bias when drain current is 1 micro ampere as the onset of the turn-on condition. In this paper threshold voltage is investigated into the analytical potential model derived from three dimensional Poisson's equation with the variation of the back gate bias and drain voltage. The threshold voltage of a transistor is one of the key parameters in the design of CMOS circuits. The threshold voltage, which described the degree of short channel effects, has been extensively investigated. As known from the down scaling rules, the threshold voltage has been presented in the case that drain voltage is the 1.0V above, which is set as the maximum supply voltage, and the drain induced barrier lowing(DIBL), drain bias dependent threshold voltage, is obtained using this model.

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
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    • v.24 no.1
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    • pp.43-65
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    • 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).

The Comparative Study of NHPP Software Reliability Model Exponential and Log Shaped Type Hazard Function from the Perspective of Learning Effects (지수형과 로그형 위험함수 학습효과에 근거한 NHPP 소프트웨어 신뢰성장모형에 관한 비교연구)

  • Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.8 no.2
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    • pp.1-10
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    • 2012
  • In this study, software products developed in the course of testing, software managers in the process of testing software test and test tools for effective learning effects perspective has been studied using the NHPP software. The finite failure nonhomogeneous Poisson process models presented and the life distribution applied exponential and log shaped type hazard function. Software error detection techniques known in advance, but influencing factors for considering the errors found automatically and learning factors, by prior experience, to find precisely the error factor setting up the testing manager are presented comparing the problem. As a result, the learning factor is greater than autonomous errors-detected factor that is generally efficient model could be confirmed. This paper, a failure data analysis of applying using time between failures and parameter estimation using maximum likelihood estimation method, after the efficiency of the data through trend analysis model selection were efficient using the mean square error and coefficient of determination.

A Study on Optimal Release Time for Software Systems based on Mixture Weibull NHPP Model (혼합 와이블 NHPP 모형에 근거한 소프트웨어 최적방출시기에 관한 연구)

  • Lee, Sang Sik;Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.6 no.2
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    • pp.183-191
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    • 2010
  • Decision problem called an optimal release policies, after testing a software system in development phase and transfer it to the user, is studied. The applied model of release time exploited infinite non-homogeneous Poisson process. This infinite non-homogeneous Poisson process is a model which reflects the possibility of introducing new faults when correcting or modifying the software. The failure life-cycle distribution used mixture which has various intensity, if the system is complicated. Thus, software release policies which minimize a total average software cost of development and maintenance under the constraint of satisfying a software reliability requirement becomes an optimal release policies. In a numerical example, after trend test applied and estimated the parameters using maximum likelihood estimation of inter-failure time data, estimated software optimal release time.

Comparative Performance Analysis of Network Security Accelerator based on Queuing System

  • Yun Yeonsang;Lee Seonyoung;Han Seonkyoung;Kim Youngdae;You Younggap
    • Proceedings of the IEEK Conference
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    • summer
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    • pp.269-273
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    • 2004
  • This paper presents a comparative performance analysis of a network accelerator model based on M/M/l queuing system. It assumes the Poisson distribution as its input traffic load. The decoding delay is employed as a performance analysis measure. Simulation results based on the proposed model show only $15\%$ differences with respect to actual measurements on field traffic for BCM5820 accelerator device. The performance analysis model provides with reasonable hardware structure of network servers, and can be used to span design spaces statistically.

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Analysis on the lgnition Charac teristics of Pseudospark Discharge Using Hybrid Fluid-Particle(Monte Carlo) Method (혼성 유체-입자(몬테칼로)법을 이용한 유사스파크 방전의 기동 특성 해석)

  • 심재학;주홍진;강형부
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.11 no.7
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    • pp.571-580
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    • 1998
  • The numerical model that can describe the ignition of pseudospark discharge using hybrid fluid-particle(Monte Carlo )method has been developed. This model consists of the fluid expression for transport of electrons and ions and Poisson's equation in the electric field. The fluid equation determines the spatiotemporal dependence of charged particle densities and the ionization source term is computed using the Monte carlo method. This model has been used to study the evolution of a discharge in Argon at 0.5 torr, with an applied voltage if 1kV. The evolution process of the discharge has been divided into four phases along the potential distribution : (1) Townsend discharge, (2) plasma formation, (3) onset of hollow cathode effect, (4) plasma expansion. From the numerical results, the physical mechanisms that lead to the rapid rise in current associated with the onset of pseudospark could be identified.

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An Analytical Study on Prediction of Effective Elastic Constants of Perforated Plate

  • Lee Jae-Kon;Kim Jin-Gon
    • Journal of Mechanical Science and Technology
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    • v.19 no.12
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    • pp.2224-2230
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    • 2005
  • In this study, the validity of the Eshelby-type model for predicting the effective Young's modulus and in-plane Poisson's ratio of the 2-dimensional perforated plate has been investigated in terms of the porosity size and its arrangement. The predicted results by the Eshelby-type model are compared with those by finite element analysis. Whenever the ratio of the porosity size to the specimen size becomes smaller than 0.07, the effective elastic constants predicted by finite element analysis are convergent regardless of the arrangement of the porosities. Under these conditions, the effective Young's moduli of the perforated plate can be predicted within the accuracy of $5\%$ by the Eshelby-type model, which overestimates and underestimates the effective Poisson's ratios by $10\%\;and\;6\%$ for the plates with periodically and non-periodically arranged porosities, respectively.

Analysis of Old Driver's Accident Influencing Factors Considering Human Factors (인적특성을 고려한 고령 운전자 교통사고 영향요인 분석)

  • Kim, Tae-Ho;Kim, Eun-Kyung;Rho, Jeong-Hyun
    • Journal of the Korean Society of Safety
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    • v.24 no.1
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    • pp.69-77
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    • 2009
  • This paper reports the aging driver traffic accident severity modeling results. For the modeling, Poisson regression approach is applied using the data set obtained from the Korea Transportation Safety Authority's simulator-based driver aptitude test results. The test items include the estimations of moving objects' speed and stopping distance, drivers' multi-task capability, and kinetic depth perception and so on. The resulting model with the response variable of equivalent property damage only(EPDO) indicated that EPDO is significantly influenced by moving objects' speed estimation and drivers' multi-task capabilities. More interestingly, a comparison with the younger driver model revealed that the degradation of such capabilities may result in severer crashes for older drivers as suggested by the higher estimated parameters for the older driver model.