• Title/Summary/Keyword: POISSON

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Bayesian Inference for the Zero In ated Negative Binomial Regression Model (제로팽창 음이항 회귀모형에 대한 베이지안 추론)

  • Shim, Jung-Suk;Lee, Dong-Hee;Jun, Byoung-Cheol
    • The Korean Journal of Applied Statistics
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    • v.24 no.5
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    • pp.951-961
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    • 2011
  • In this paper, we propose a Bayesian inference using the Markov Chain Monte Carlo(MCMC) method for the zero inflated negative binomial(ZINB) regression model. The proposed model allows the regression model for zero inflation probability as well as the regression model for the mean of the dependent variable. This extends the work of Jang et al. (2010) to the fully defiend ZINB regression model. In addition, we apply the proposed method to a real data example, and compare the efficiency with the zero inflated Poisson model using the DIC. Since the DIC of the ZINB is smaller than that of the ZIP, the ZINB model shows superior performance over the ZIP model in zero inflated count data with overdispersion.

A Parameter Estimation of Software Reliability Growth Model with Change-Point (변화점을 고려한 소프트웨어 신뢰도 성장모형의 모수추정)

  • Kim, Do-Hoon;Park, Chun-Gun;Nam, Kyung-H.
    • The Korean Journal of Applied Statistics
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    • v.21 no.5
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    • pp.813-823
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    • 2008
  • The non-homogeneous Poisson process(NHPP) based software reliability growth models are proved quite successful in practical software reliability engineering. The fault detection rate is usually assumed to be the continuous and monotonic function. However, the fault detection rate can be affected by many factors such as the testing strategy, running environment and resource allocation. This paper describes a parameter estimation of software reliability growth model with change-point problem. We obtain the maximum likelihood estimate(MLE) and least square estimate(LSE), and compare goodness-of-fit.

Determination of an Optimal Repair Number with Achieved Availability Constraint at RND Stage (연구개발 단계에서 성취 가용도를 고려한 최적 수리횟수 결정모델에 관한 연구)

  • Lee, Jae-Won;Lee, Kye-Kyong;Na, In-Sung;Park, Myeong-Kyu
    • Journal of the Korea Safety Management & Science
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    • v.10 no.3
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    • pp.89-98
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    • 2008
  • A preventive maintenance model, caller FNBM($\alpha$, $\delta$, $\gamma$)model, is proposed to decide an optimal repair number under achieved availability requirements(r) along with taking two types of failures (repairable or irrepairable) into account. In this model, the current system is replaced by a new one in case when it doesn't meet the achieved availability requirement, even though it is repairable failure; Otherwise it is replaced in time of the first irrepairable failure. Assumed that the j-th failure is repairable with probability ${\alpha}_j$ minimal repairs are allowed for repairable failure between replacements. Expected cost rate for preventive maintenance model is developed using NHPP(Non-Homogeneous Poisson Process) in order to determine the optimal number $n^*$, also numerical examples are shown in order to explain the proposed model. Since the proposed FNBM($\alpha$, $\delta$, $\gamma$)model includes Park FNBM model(1979) and Nakagawa FNBM(p)model(1983) this proposed model is thought to be better than previous model, especially for weapon system which requires availability as primary parameter.

Microbial Risk Assessment in Reclaimed Wastewater Irrigation on a Paddy Field (하수의 농업적 재이용에 따른 논 담수 내 미생물 위해성 평가)

  • Rhee, Han-Pil;Yoon, Chun-Gyeong;Jung, Kwang-Wook;Son, Jang-Won
    • Journal of Korean Society on Water Environment
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    • v.25 no.1
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    • pp.69-75
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    • 2009
  • Water stress has become a major concern in agriculture. Korea suffers from limited agricultural water supply, and wastewater reuse has been recommended as an alternative solution. A study was performed to examine the effects of microorganism concentration in the ponded-water of a paddy rice field with reclaimed-water irrigation for evaluating the microbial risk to farmers and neighborhood children. Most epidemiological studies were performed based on an upland field, and they may not directly applicable to paddy fields. Beta-Poisson model was used to estimate the microbial risk of pathogen ingestion. Their risk value increased significantly high level after irrigation and precipitation. It implies that agricultural activities such as plowing, and fertilizing, and precipitation need be practiced a few days after irrigation considering health risks. The results about field application of the microbial risk assessment using E. coli showed difference according to monitoring time and treatment plot. Result of the microbial risk assessment showed that risk values of ground-water and reclaimed secondary wastewater irrigation were lower than directly use of wastewater treatment plants' effluent. This paper should be viewed as a first step in the application of quantitative microbial risk assessment of E. coli to wastewater reuse in a paddy rice farming.

Elasto-plastic Anisotropic Wood Material Model for Finite Solid Element Applications (탄소성이방성 솔리드 유한요소법 활용을 위한 목재 재료 모델 생성 연구)

  • Hong, Jung-Pyo;Kim, Chul-Ki;Lee, Jun-Jae;Oh, Jung-Kwon
    • Journal of the Korean Wood Science and Technology
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    • v.42 no.4
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    • pp.367-375
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    • 2014
  • A simplified material model, which was efficiently implemented in a three-dimensional finite solid element (3D FE) analysis for wood was developed. The bi-linear elasto-plastic anisotropic material theory was adopted to describe constitutive relations of wood in three major directions including longitudinal, radial and tangential direction. The assumption of transverse isotropy was made to reduce the requisite 27 material constants to 6 independent constants including elastic moduli, yield stresses and Poisson's ratios in the parallel, and perpendicular to grain directions. The results of Douglas fir compression tests in the three directions were compared to the 3D FE simulation incorporated with the wood material model developed in this study. Successful agreements of the results were found in the load-deformation curves and the permanent deformations. Future works and difficulties expected in the advanced application of the model were discussed.

Hydrological Assessment of Multifractal Space-Time Rainfall Downscaling Model: Focusing on Application to the Upstream Watershed of Chungju Dam (멀티프랙탈 시·공간 격자강우량 생산기법의 수문학적 적용성 평가 : 충주댐상류유역 중심으로)

  • Song, Ho Yong;Kim, Dong-Kyun;Kim, Byung-Sik;Hwang, Seok-Hwan;Kim, Tae-Woong
    • Journal of Korea Water Resources Association
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    • v.47 no.10
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    • pp.959-972
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    • 2014
  • In this study, a space-time rainfall grid field generation model based on multifractal theory was verified using nine flood events in the upstream watershed of Chungju dam in South Korea. For this purpose, KMA radar rainfall data sets were analyzed for the space-time multifractal characteristics. Simulated rainfall fields that represent the multifractal characteristics of observed rainfall field were reproduced using the space-time rainfall grid field generation model with log-Poisson distribution and three-dimension wavelet function. Simulated rainfall fields were applied to the S-RAT model as input data and compared with both observed rainfall fields and low-resolution rainfall field runoff. Error analyses using RMSE, RRMSE, MAE, SS, NPE and PTE indicated that the peak discharge increases about 20.03% and the time to peak decreases about 0.81%.

Measurement of the coherence time of the light from a quasi-thermal source (준열광원의 결맞음시간 측정)

  • Kim, Hyun-Oh;Ha, Yang;Shin, Jong-Tae;Kim, Tae-Soo
    • Korean Journal of Optics and Photonics
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    • v.7 no.4
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    • pp.341-347
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    • 1996
  • The photocount distribution from a quasi-thermal light source, a moving ground glass disk (surface roughness; 9 ${\mu}{\textrm}{m}$) illuminated by a well-stabilized He-Ne laser, is measured by a photon counting system, and analyzed with theoretical calculations. The distribution approaches the Poisson distribution for the long coherence time ${\tau}_c$ compared to the measuring time T. The coherence time ${\tau}_c$ of the quasi-thermal source can be changed by controlling the velocity v of the motor driving the glass disk. By the comparison of experimental results and theory for the condition of T/ ${\tau}_c$ >>1, the coherence time ${\tau}_c$ of the quasi-thermal source is turned out to be in the range of 31.43 $mutextrm{s}$~2.48 $mutextrm{s}$ according to the circumferential velocity of the disk, and compared with the simple calculation of $\sigma$/v.

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Two-Dimensional Analysis of the Characteristics at Heterojunction of MODFET Using FDM (유한 차분법을 이용한 MODFET의 이차원적 해석)

  • Jung, Hak-Gi;Lee, Moon-Key;Kim, Bong-Ryul
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.11
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    • pp.1373-1379
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    • 1988
  • This paper describes a two-dimensional analysis of the potential distribution and electron concentration of the MODFET at channel using FDM. More exact analysis can be obtained by two-dimensional analysis which considers parasitic effects ignored in one-dimensional analysis. Using Poisson and Shrodinger equations, the potential distribution and the wave function are calculated within a constant error bound. As a result, the relations between the thickness of spacer, doping concentration of (n) AlGaAs layer, and the sheet density of the 2DEG (2 Dimensional Electron Gas) of MODFET at channel are suggested quantitively. The sheet density of the 2DEG is increased as the thickness of the spacer is decreased of the doping concentration of the (n)AlGaAs layer is lowered.

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Electron Mobility Model in Strained Si Inversion Layer (응력변형을 겪는 Si 반전층에서 전자 이동도 모델)

  • Park Il-Soo;Won Taeyoung
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.42 no.3 s.333
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    • pp.9-16
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    • 2005
  • The mobility in strained Si inversion layer on $Si_{1-x}Ge_x$ is calculated considering a quantum effect(subband energy and wavefunction) in inversion layer and relaxation time approximation. The quantum effect in inversion layer is obtained by using self-consistent calculation of $Schr\ddot{o}dinger$ and Poisson equations. For the relaxation time, intravalley and intervalley scatterings are considered. The result shows that the reason for the enhancement in mobility as Ge mole fraction increases is that the electron mobility in 2-폴드 valleys is about 3 times higher than that of 4-폴드 valleys and most electrons are located in 2-폴드 valleys as Ge mole fraction increases. Meanwhile, for the phonon-limited mobility the fitting to experimental data, Coulomb and surface roughness mobilities are included in total mobility, Deformation potentials are selected for the calculated effective field, temperature, and Ge mole fraction dependent mobilities to be fitted to experimental data, and then upgraded data can be obtained by considering nonparabolicity in Si band structure.

Incidence Trends of Colorectal Cancer in the West of Iran During 2000-2005

  • Abdifard, Edris;Ghaderi, Shahab;Hosseini, Saman;Heidari, Mohammad
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.3
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    • pp.1807-1811
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    • 2013
  • Background: Colorectal cancer is a main leading cause of cancer death in western countries. Although many studies have been conducted on incidence trends all over the world in recent years, information regarding changes in incidence of colorectal cancer in Iran is insufficient. The present study of colorectal cancer in the west of Iran during recent years was therefore performed. Materials and Methods: The registered data for colorectal cancer cases in National Cancer Registry System were extracted from the Ministry of Health and Medical Education, Center for Disease Control and Management. The codes from 18-21 among cancers were selected for colon and rectum cancers. Incidence rates were standardized directly using WHO population. The significance of incidence rate trends during 2000-2005 was tested through Poisson regression. Results: 762 cases of colorectal cancer were observed during 6 years in this region, with a gender ratio of men to women of 1.2. It increased from 65 cases in 2000 to 213 cases in 2005 or from 1.5 per100,000 per persons per year to 4.8. Significant increasing trends were evident in Kermanshah and Hamadan provinces; however, change did not reach significance in Ilam and Kurdistan provinces. Conclusions: Colorectal cancer has an increasing trend in the west of Iran. Although it seems that the increasing rate of colorectal cancer is due to increasing of cancer risk factors, some proportion may be related to the improvement of surveillance systems in Iran.