• Title/Summary/Keyword: 포아송

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Moments of the Bivariate Zero-Inflated Poisson Distributions (이변량 영과잉-포아송 분포의 적률)

  • Kim, Kyung-Moo;Lee, Sung-Ho;Kim, Jong-Tae
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.1
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    • pp.47-56
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    • 1998
  • Zero-Inflated Poisson models are mixed models of the Poisson and Bernoulli models. Recently Zero-Inflated Poisson distributions have been used frequently rather than previous Poisson distributions because the developement of industrial technology make few defects in manufacturing process. It is important that univariate Zero-Inflated Poisson distributions are extended to bivariate distributions to generalize the multivariate distributions. In this paper we proposed three types of the bivariate Zero-Inflated Poisson distributions and obtained these moments. We compared the three types of distributions by using the moments.

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Applicability of Two-Poisson Model to Korean Literature (2-포아송 모형의 한국어 문헌 적용성)

  • 최대식;정영미
    • Proceedings of the Korean Society for Information Management Conference
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    • 1999.08a
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    • pp.9-12
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    • 1999
  • 통계적 확률이론에 근거한 포아송 모형을 색인어 선정 기반으로 활용하고자 하는 2-포아송 함수와 3-포아송 함수 및 다중 포아송 함수에 대한 단계적 발전 과정을 살펴보았다. 아울러, 2-포아송이 한국어 문헌의 색인어 선정에 유용한지 알아보기 위해 한국어 말뭉치 데이터베이스 내 문헌 50개를 실험 대상으로 단어의 장서빈도와 문헌빈도를 이용하여 z값을 산출해 보았다.

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공분산 구조를 만족하는 다변량 포아송 확률난수 생성

  • Jeong, Hyeong-Cheol;Kim, Dae-Hak;Jeong, Byeong-Cheol
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.11a
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    • pp.147-152
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    • 2005
  • 본 논문에서는 k개의 포아송 확률변수가 서로 종속 되어 있는 다변량 포아송 분포를 따를 때, 주어진 분산-공분산 행렬 구조를 유지하는 다변량 포아송 확률난수 생성방법에 대해 다루었다. 특히, 확률난수를 생성하기 위해 선형방정식을 푸는 두 가지 수치해석 알고리즘을 제안하였으며, Park 등 (1996)의 다변량 베르누이 확률난수 생성에 활용된 알고리즘과의 연관성을 다루었다.

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Evaluation of Tensile Characteristics of Cementitious Composites Reinforced by Auxetic Mesh (음의 포아송비 거동 격자체로 보강한 시멘트 복합체의 인장특성 평가)

  • Kim, Won-Woo;Lee, Jang-Hwa;Moon, Jae-Heum
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.5 no.2
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    • pp.192-197
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    • 2017
  • Typical materials including concrete behaves with positive poisson's ratio when external force is applied. However, it is also available to manufacture a grating system which has negative poisson's ratio(Auxetic). In this study, double arrow type 2-D auxetic mesh was manufactured and mechanical behaviors were observed. Also, direct tensile tests of cementitious composites reinforced by auxetic mesh were performed and the results were compared with composites reinforced by typical mesh. The results showed that auxetic mesh more effectively restrained the deformation(shortening) of cementitious composites perpendicular to the load direction comparing with typical mesh.

Zero In ated Poisson Model for Spatial Data (영과잉 공간자료의 분석)

  • Han, Junhee;Kim, Changhoon
    • The Korean Journal of Applied Statistics
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    • v.28 no.2
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    • pp.231-239
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    • 2015
  • A Poisson model is the first choice for counts data. Quasi Poisson or negative binomial models are usually used in cases of over (or under) dispersed data. However, these models might be unsuitable if the data consist of excessive number of zeros (zero inflated data). For zero inflated counts data, Zero Inflated Poisson (ZIP) or Zero Inflated Negative Binomial (ZINB) models are recommended to address the issue. In this paper, we further considered a situation where zero inflated data are spatially correlated. A mixed effect model with random effects that account for spatial autocorrelation is used to fit the data.

A Preliminary Study of Applicability of Auxetic Mesh for Construction Industry (음의 포아송비 거동 격자체의 건설산업에의 적용 가능성 연구)

  • Kim, Won-Woo;Lee, Jang-Hwa;Moon, Jae-Heum
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.21 no.4
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    • pp.116-123
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    • 2017
  • This study has been investigated the applicability of auxetic mesh for the reinforcement of structural members. Typical materials including concrete behaves with positive poisson's ratio when external force is applied. In this study, it has been theoretically verified that metallic auxetic mesh restrains as such mechanical behaviors of concrete resulting in the stiffness increase. Also, regarding the applicability to construction field, a type of auxetic mesh has been suggested and the mechanical characteristics were numerically analyzed.

The variation of poisson's ratio for The Cretaceous Sandstones and Shale in the Euiseoung Subbasin. (백악기 사암과 세일에 대한 포아송비의 변화)

  • 정태종
    • The Journal of Engineering Geology
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    • v.6 no.2
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    • pp.103-110
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    • 1996
  • This study shows the variation of poisson's ratio according to stress for the Cretaceous sandstones and shale in the Euiseoung Subbasin. To make a mechanical experiment, samples prepared with 3.0 cm in diameter and 6.2 cm in length were used in testing stress and strain. Generally poisson's ratio has been considered as one of properties, but contrary to steel, the test result makes sure that poisson's ratio has functional relation to stress. I had used four methods to calculate poisson's ratio, Poisson's ratio shows considerable different results according to the calculating, method but it has similar tendency in an elastic limit. Poisson' s ratio increases rapidly and is distinguished clearly in internal fracture region according to the calculating method. Poisson's ratio of sandstone and shale is different from one another in low and high stress regimes,but it is linearly proportional to the stress in an elastic regimes, that is, ${\nu}_t={\;}{\nu}_0+P_{\sigma}({\nu}_0$:first stage Poisson's ratio, ${\nu}_t$:poisson's ratio, P: poisson's coefficient, $\sigma$:stress). Poisson's ratios of two kinds of rock samples show continuous variation from 0.1 to 0.21 in an elastic regime. The variation of poisson's ratio is much wider in an internal fracture regine. It varies from 0.22 to 0.45 in sandstone, which is out of elastic regime.

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A Study on Poisson-lognormal Model (포아송-로그정규분포 모형에 관한 연구)

  • 김용철
    • The Korean Journal of Applied Statistics
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    • v.13 no.1
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    • pp.189-196
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    • 2000
  • Conjugate prior density families were motivated by considerations of tractability in implementing the Bayesian paradigm. But we consider problem that the conjugate prior p($\Theta$) cannot be used in restriction of the parameter $\Theta$. This article considers the nonconjugate prior problem of hierarchical Poisson model. We demonstrate the use of latent variables for sampling non-standard densities which arise in the context of the Bayesian analysis of non-conjugate by using a Gibbs sampler.

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Inferences for the Changepoint in Bivariate Zero-Inflated Poisson Model (이변량 영과잉-포아송모형에서 변화시점에 관한 추론)

  • Kim, Kyung-Moon
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.2
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    • pp.319-327
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    • 1999
  • Zero-Inflated Poisson distributions have been widely used for defect-free products in manufacturing processes. It is very interesting to check the shift after the unknown changepoint. If the detectives are caused by the two different types of factor, we should use bivariate zero-inflated model. In this paper, likelihood ratio tests were used to detect the shift of changes after the changepoint. Some inferences for the parameters in this model were made.

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Zero-Inflated Poisson Model with a Change-point (변화시점이 있는 영과잉-포아송모형)

  • Kim, Kyung-Moo
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.1
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    • pp.1-9
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    • 1998
  • In case of Zero-Inflated Poisson model with a change-point, likelihood ratio test statistic was used for testing hypothesis for a change-point. A change-point and several interesting parameters were estimated by using the method of moments and maximum likelihood. In order to compare the estimators, empirical mean-square-error was used. Real data for the Zero-Inflated Poisson model with a change-point and Poisson model without a change-point were examined.

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