• 제목/요약/키워드: zero inflation

검색결과 27건 처리시간 0.024초

조건부 포아송 및 음이항 분포를 이용한 영-과잉 INGARCH 자료 분석 (Zero-Inflated INGARCH Using Conditional Poisson and Negative Binomial: Data Application)

  • 윤재은;황선영
    • 응용통계연구
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    • 제28권3호
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    • pp.583-592
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    • 2015
  • 영-과잉(zero-inflation) 현상은 최근 계수(count) 시계열 분석의 주요토픽으로 다루어지고 있다. 본 논문에서는 영-과잉 계수 시계열의 변동성을 연구하고 있다. 기존의 정수형 모형인 INGARCH(integer valued GRACH) 모형에 조건부 포아송 및 조건부 음이항 분포를 사용하여 변동성에 영-과잉 현상을 추가하였다. 모수 추정 방법으로 EM알고리즘을 사용하였으며 국내 콜레라 발생건수에 적용시켜 보았다.

Analysis of bivariate recurrent event data with zero inflation

  • Kim, Taeun;Kim, Yang-Jin
    • Communications for Statistical Applications and Methods
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    • 제27권1호
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    • pp.37-46
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    • 2020
  • Recurrent event data frequently occur in clinical studies, demography, engineering reliability and so on (Cook and Lawless, The Statistical Analysis of Recurrent Events, Springer, 2007). Sometimes, two or more different but related type of recurrent events may occur simultaneously. In this study, our interest is to estimate the covariate effect on bivariate recurrent event times with zero inflations. Such zero inflation can be related with susceptibility. In the context of bivariate recurrent event data, furthermore, such susceptibilities may be different according to the type of event. We propose a joint model including both two intensity functions and two cure rate functions. Bivariate frailty effects are adopted to model the correlation between recurrent events. Parameter estimates are obtained by maximizing the likelihood derived under a piecewise constant hazard assumption. According to simulation results, the proposed method brings unbiased estimates while the model ignoring cure rate models gives underestimated covariate effects and overestimated variance estimates. We apply the proposed method to a set of bivariate recurrent infection data in a study of child patients with leukemia.

Korea's Inflation Expectations with regard to the Phillips Curve and Implications of the COVID-19 Crisis

  • JUNG, KYU-CHUL
    • KDI Journal of Economic Policy
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    • 제43권2호
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    • pp.81-101
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    • 2021
  • This paper estimates the expectation-augmented Phillips curve, which explains inflation dynamics, in Korea. The phenomenon of low inflation in Korea has been going on for quite some time, in particular since 2012. During the Covid-19 crisis, due to low inflation expectations the operation of monetary policy was limited as the base rate approached the zero lower bound. The main objective of this paper is to estimate where and how tightly inflation expectations are anchored. It was found that long-term inflation expectations fell to around 1%, falling short of the inflation target, and that inflation expectations are strongly anchored to long-term expectations, which implies that the low inflation phenomenon is likely to extend into the future. The results also imply that even if inflation fluctuates due to temporary disturbances, it may converge to a level below the inflation target. The slight rebound of long-term expectations during the Covid-19 crisis suggests that the aggressive monetary policy may have contributed to improving economic agents' beliefs about the commitment of monetary authorities to inflation stability. This may also help long-term expectations gradually to approach the inflation target.

계수 시계열을 위한 정수값 GARCH 모델링: 사례분석 (Integer-Valued GARCH Models for Count Time Series: Case Study)

  • 윤재은;황선영
    • 응용통계연구
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    • 제28권1호
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    • pp.115-122
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    • 2015
  • 본 연구에서는 정수값을 갖는 계수 시계열의 조건부 이차적률인 변동성(volatility)을 다루고 있다. 여러 가지 정수값 GARCH, 즉, INGARCH 모형들을 소개하고 계수 시계열인 국내 풍진발생건수에 적용시켜 보았다. 과산포(over-dispersion)와 영과잉(zero-inflation)현상을 계수 시계열의 변동성 분석 입장에서 살펴보았고 향후 분석 모형으로서 영과잉(zero-inflation) INGARCH 모형인 ZI-INGARCH 모형을 살펴보았다.

A simple zero inflated bivariate negative binomial regression model with different dispersion parameters

  • Kim, Dongseok
    • Journal of the Korean Data and Information Science Society
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    • 제24권4호
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    • pp.895-900
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    • 2013
  • In this research, we propose a simple bivariate zero inflated negative binomial regression model with different dispersion for bivariate count data with excess zeros. An application to the demand for health services shows that the proposed model is better than existing models in terms of log-likelihood and AIC.

Analysis of Food Poisoning via Zero Inflation Models

  • Jung, Hwan-Sik;Kim, Byung-Jip;Cho, Sin-Sup;Yeo, In-Kwon
    • 응용통계연구
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    • 제25권5호
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    • pp.859-864
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    • 2012
  • Poisson regression and negative binomial regression are usually used to analyze counting data; however, these models are unsuitable for fit zero-inflated data that contain unexpected zero-valued observations. In this paper, we review the zero-inflated regression in which Bernoulli process and the counting process are hierarchically mixed. It is known that zero-inflated regression can efficiently model the over-dispersion problem. Vuong statistic is employed to compare performances of the zero-inflated models with other standard models.

Does Individual's Income always Matter Happiness?: Evidence from China

  • HE, Yugang;WU, Renhong
    • 웰빙융합연구
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    • 제3권1호
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    • pp.21-31
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    • 2020
  • As people's income rises dramatically, people's happiness seems not as high as expected. In fact, there are two different arguments about the relationship between income level and happiness. The focus of the debate is whether the correlation between income and probability of happiness is positive or negative. Therefore, we hypothesizes that the relationship between income and probability of happiness presents an inverted U-shaped curve. Then, this paper sets China as an example to explore the effect of income on happiness. The data from the Chinese General Social Survey (CGSS) in 2015 is employed to conduct empirical analyses under the Probit model and the Zero-Inflation-Passion model. The empirical findings indicate that the effect of income on happiness presents an inverted U-shaped curve and significantly in statistic. Meanwhile, spouse's income, educational level, marriage time and house property have a positive and significant effect on happiness. Conversely, age and local living standards have a negative and significant effect on happiness. Unfortunately, even though registered residence and children have a negative effect on happiness, they do not get through the significant test. In order to ensure the robustness of our empirical results, we test the robustness of the above empirical results by adjusting the sample size. The results of robustness test verify that our empirical results are robust. Moreover, this paper also makes a small contribution to the current literature with a sample from China.

오프로드차량의 슬립-견인력 관계의 평가에 사용되는 ASAE 제로조건에 관한 연구 (A Study on Zero-Condition of ASAE for Estimating Slip-Traction Relationship of Off-Road Vehicles)

  • 박원엽;이규승;오만수;박준걸
    • Journal of Biosystems Engineering
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    • 제27권6호
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    • pp.501-512
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    • 2002
  • Traction performance of off-road vehicles is estimated using slip-traction relationships Two zero condition accepted by ASAE have been used widely to obtain the slip-traction relationships of off-road vehicles. This study was carried out using the soil bin systems to investigate the characteristic of slip-traction curves obtained using two zero conditions defined by ASAE. which are driving and driven zero condition, and to present disadvantage of slip-traction relationship based on two zero conditions of ASAE. The results of this study are summarized as follows : 1. For the driving zero condition, the curve of slip-traction relationship shows some issues. The first question is that the slip is zero when the traction is zero. The second question is that the value of slip is smaller than that of corresponding real slip, as the rolling radius decreased f3r the setting zero condition with driving wheel. 2. For the driven zero condition. slip occurs when the traction is zero, which is more realistic results than driving zero condition. But when a zero condition is set, skid occurs and this result increased the rolling radius of tire and increased slip value f3r the specific traction value of whole slip range. This kind of trend was getting bigger as the soil is softer, or the tire inflation pressure is higher. 3. From the results of this study, it was found that slip-traction relationship obtained by two zero conditions of ASAE is not realistic in estimating the traction performance of off-road vehicles. And also slip-traction relationship obtained for the same experimental condition showed different result in accordance with chosen zero condition,

서로 다른 산포를 허용하는 이변량 영과잉 음이항 회귀모형 (Bivariate Zero-Inflated Negative Binomial Regression Model with Heterogeneous Dispersions)

  • 김동석;정슬기;이동희
    • Communications for Statistical Applications and Methods
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    • 제18권5호
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    • pp.571-579
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    • 2011
  • 본 연구에서는 두 반응 변수에 서로 다른 산포를 허용하는 새로운 이변량 영과잉 음이항 회귀모형을 제안하고, Deb과 Trivedi (1997)에 나타난 헬스케어 자료를 이용하여 두 반응변수가 갖는 서로 다른 산포도를 무시한 Wang (2003)이 제안한 이변량 영과잉 음이항 회귀모형과의 효율성을 로그우도와 AIC의 관점에서 비교 하였다. 모형적합결과, 본 연구에서 제안한 모형이 모형선택기준 관점에서 기존모형에 비하여 월등히 우수한 결과를 보여주었다.

영과잉을 고려한 중심상업지구 교통사고모형 개발에 관한 연구 (Safety Performance Functions for Central Business Districts Using a Zero-Inflated Model)

  • 이상혁;우용한
    • 한국도로학회논문집
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    • 제18권4호
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    • pp.83-92
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    • 2016
  • PURPOSES : The purpose of this study was to develop safety performance functions (SPFs) that use zero-inflated negative binomial regression models for urban intersections in central business districts (CBDs), and to compare the statistical significance of developed models against that of regular negative binomial regression models. METHODS : To develop and analyze the SPFs of intersections in CBDs, data acquisition was conducted for dependent and independent variables in areas of study. We analyzed the SPFs using zero-inflated negative binomial regression model as well as regular negative binomial regression model. We then compared the results by analyzing the statistical significance of the models. RESULTS : SPFs were estimated for all accidents and injury accidents at intersections in CBDs in terms of variables such as AADT, Number of Lanes at Major Roads, Median Barriers, Right Turn with an Exclusive Turn Lane, Turning Guideline, and Front Signal. We also estimated the log-likelihood at convergence and the likelihood ratio of SPFs for comparing the zero-inflated model with the regular model. In he SPFs, estimated log-likelihood at convergence and the likelihood ratio of the zero-inflated model were at -836.736, 0.193 and -836.415, 0.195. Also estimated the log-likelihood at convergence and likelihood ratio of the regular model were at -843.547, 0.187 and -842.631, 0.189, respectively. These figures demonstrate that zero-inflated negative binomial regression models can better explain traffic accidents at intersections in CBDs. CONCLUSIONS : SPFs that use a zero-inflated negative binomial regression model demonstrate better statistical significance compared with those that use a regular negative binomial regression model.