• Title/Summary/Keyword: POISSON

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Application of the Weibull-Poisson long-term survival model

  • Vigas, Valdemiro Piedade;Mazucheli, Josmar;Louzada, Francisco
    • Communications for Statistical Applications and Methods
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    • v.24 no.4
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    • pp.325-337
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    • 2017
  • In this paper, we proposed a new long-term lifetime distribution with four parameters inserted in a risk competitive scenario with decreasing, increasing and unimodal hazard rate functions, namely the Weibull-Poisson long-term distribution. This new distribution arises from a scenario of competitive latent risk, in which the lifetime associated to the particular risk is not observable, and where only the minimum lifetime value among all risks is noticed in a long-term context. However, it can also be used in any other situation as long as it fits the data well. The Weibull-Poisson long-term distribution is presented as a particular case for the new exponential-Poisson long-term distribution and Weibull long-term distribution. The properties of the proposed distribution were discussed, including its probability density, survival and hazard functions and explicit algebraic formulas for its order statistics. Assuming censored data, we considered the maximum likelihood approach for parameter estimation. For different parameter settings, sample sizes, and censoring percentages various simulation studies were performed to study the mean square error of the maximum likelihood estimative, and compare the performance of the model proposed with the particular cases. The selection criteria Akaike information criterion, Bayesian information criterion, and likelihood ratio test were used for the model selection. The relevance of the approach was illustrated on two real datasets of where the new model was compared with its particular cases observing its potential and competitiveness.

An Analysis of Poisson's Ratio Behaviors by Uniaxial Compressive Loading-reloading Test - On the Sedimentary Rocks of Kyungsang Basin - (일축압축 하에서 반복재하에 따른 포아송비의 거동분석 - 경상분지 퇴적암을 대상으로 -)

  • Lee, Jong-Suok;Moon, Jong-Kyu;Choi, Woong-Eui
    • Tunnel and Underground Space
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    • v.23 no.1
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    • pp.66-77
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    • 2013
  • This paper deals with Poisson's ratio and volumetric strain behavior on loading-reloading terms under uniaxial condition targeting 404 individual rocks, which include sedimentary rocks as sandstone, shale, mudstone, conglomerate and tuff on Kyungsang basin. Poisson' ratio demonstrates increase, convergence and decrease behavior according to the increase in load, which results in preponderance of increase behavior. Volumetric strain demonstrates normal, positive and negative behavior according to the increase in load, which results in preponderance of normal behavior. On practice, Poisson's ratio can be indicative of high or low values with low values of design load. Consequently, a careful selection of results in in-situ sample experiment should be made and varying design conditions should be considered.

Evaluation of Poisson's Ration of Polymer-Modified Asphalt Concretes (폴리머 개질 아스팔트 콘크리트의 푸아송비에 관한 실험적 연구)

  • 김광우
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.41 no.5
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    • pp.104-105
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    • 1999
  • This study was performend to examine Poisson's ration of polymer-modified asphalt concrete due to temperature variatino . Asphalt binder used in this study was an AC85-100, penetration grade of 85-100, and polymer for modifying asphalt were domestic LDPE(Low-density polyethylene) and SBS(Styrene-butadiene-styrene). Aggregate was a crushed gneiss which was most widely used in the middle part of Korea. Using these materias, asphalt mixture slab(340mm$\times$240mm$\times$80mm) with optimum asphalt content from mix design was made and cut into square pillar (80mm$\times$80mm$\times$160mm). Poisson's ration was measured in various temperture (-15$^{\circ}C$, -1$0^{\circ}C$, -5$^{\circ}C$,$0^{\circ}C$,5$^{\circ}C$,1$0^{\circ}C$ and 2$0^{\circ}C$) under the load of one axis repeated compression mode. Poisson's ration of normal asphalt polymer modified asphalt mixtures in normal temperatures. This indicated that AP mixture was more susceptible to temperature effects. From regression aalysis of experimental results, the difference of Poisson's ration between normal and low temperature showed that polymer modified asphalt mixture were lower than AP mixture except for SBS modified asplat mixture.

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Prediction of K-league soccer scores using bivariate Poisson distributions (이변량 포아송분포를 이용한 K-리그 골 점수의 예측)

  • Lee, Jang Taek
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.6
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    • pp.1221-1229
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    • 2014
  • In this paper we choose the best model among several bivariate Poisson models on Korean soccer data. The models considered allow for correlation between the number of goals of two competing teams. We use an R package called bivpois for bivariate Poisson regression models and the data of K-league for season 1983-2012. Finally we conclude that the best fitted model supported by the AIC and BIC is the bivariate Poisson model with constant covariance. The zero and diagonal inflated models did not improve the model fit. The model can be used to examine home-away effect, goodness of fit, attack and defense parameters.

Analysis of Yield Model Using Defect Density Function of DOU(Defects of One Unit) (DOU 결점 밀도분포를 이용한 수율 모형 분석)

  • Choi, Sung-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 2010.11a
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    • pp.551-557
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    • 2010
  • The research proposes the hypergeometric, binomial and Poisson yield models for defective and defect. The paper also presents the hypothesis test, confidence interval and control charts for DPU(Defect Per Unit) and DPO(Defect Per Opportunity). Especially the study considers the analysis of compound Poisson yield models using various DOU density distributions.

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RESPONSES OF DAMPED HARMONIC OSCILLATORS TO EXCITATIONS OBEYING POISSON DISTRIBUTIONS

  • Lee, Hyoung-In;Mok, Jinsik
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.111-118
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    • 2013
  • External excitations are employed to investigate properties of optical media, with measurement data often analyzed via linear response theory. In this respect, external forcing is modeled here by well-known Poisson and negative-binomial distributions. Ensuing dynamics is examined with a special attention to the relative decay rates of damped harmonic oscillators to such external forcing, along with its relationship to other physical phenomena.

POISSON HOPF STRUCTURE INDUCED BY THE UNIVERSAL ENVELOPING ALGEBRA OF A GRADED LIE ALGEBRA

  • Oh, Sei-Qwon;Park, Miran
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.1
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    • pp.177-184
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    • 2010
  • Let G be an abelian group, $\alpha$ an antisymmetric bicharacter on G and g a (G, $\alpha$)-Lie algebra. Here we give a complete proof for that the associated graded algebra determined by a natural filtration in the universal enveloping algebra U(g) is a (G, $\alpha$)-Poisson Hopf algebra.

Poisson's Ratio Measurement Using a Pair of PVDF Ultrasonic Transducer

  • Vargas, Enrique;Toral, Sergio;Gonzalez, Vicente
    • Journal of the Korean Society for Nondestructive Testing
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    • v.29 no.6
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    • pp.519-524
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    • 2009
  • This work presents a simple technique to determine the Poisson's ratio of homogeneous solid material using a pair of low cost PVDF ultrasonic transducers. It is based on transducer's property of generating longitudinal and transversal waves depending on the excitation frequency. Mechanical tests were conducted to validate the proposed method, resulting in a good agreement between ultrasonic and mechanical techniques.

An application to Multivariate Zero-Inflated Poisson Regression Model

  • Kim, Kyung-Moo
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.2
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    • pp.177-186
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    • 2003
  • The Zero-Inflated Poisson regression is a model for count data with exess zeros. When the correlated response variables are intrested, we have to extend the univariate zero-inflated regression model to multivariate model. In this paper, we study and simulate the multivariate zero-inflated regression model. A real example was applied to this model. Regression parameters are estimated by using MLE's. We also compare the fitness of multivariate zero-inflated Poisson regression model with the decision tree model.

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BOUNDARY COLLOCATION FAST POISSON SOLVER ON IRREGULAR DOMAINS

  • Lee, Dae-Shik
    • Journal of applied mathematics & informatics
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    • v.8 no.1
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    • pp.27-44
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    • 2001
  • A fast Poisson solver on irregular domains, based on bound-ary methods, is presented. The harmonic polynomial approximation of the solution of the associated homogeneous problem provides a good practical boundary method which allows a trivial parallel processing for solution evaluation or straightfoward computations of the interface values for domain decomposition/embedding. AMS Mathematics Subject Classification : 65N35, 65N55, 65Y05.