• Title/Summary/Keyword: 준모수적 추정량

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Performance Comparison of Cumulative Incidence Estimators in the Presence of Competing Risks (경쟁위험 하에서의 누적발생함수 추정량 성능 비교)

  • Kim, Dong-Uk;Ahn, Chi-Kyung
    • The Korean Journal of Applied Statistics
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    • v.20 no.2
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    • pp.357-371
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    • 2007
  • For the time-to-failure data with competing risks, cumulative incidence functions (CIFs) are commonly estimated using nonparametric methods. If the cases of events due to the cause of primary interest are infrequent relative to other cause of failure, nonparametric methods may result in rather imprecise estimates for CIF. In such cases, Bryant et al. (2004) suggested to model the cause-specific hazard of primary interest parametrically, while accounting for the other modes of failure using nonparametric estimator. We represented the semiparametric cumulative incidence estimator and extended to the model of Weibull and log-normal distribution. We also conducted simulations to access the performance of the semiparametric cumulative incidence estimators and to investigate the impact of model misspecification in log-normal cause-specific hazard model.

Residual-based copula parameter estimation (잔차를 이용한 코플라 모수 추정)

  • Na, Okyoung;Kwon, Sunghoon
    • The Korean Journal of Applied Statistics
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    • v.29 no.1
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    • pp.267-277
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    • 2016
  • This paper considers we consider the estimation of copula parameters based on residuals in stochastic regression models. We prove that a semiparametric estimator using residual empirical distributions is consistent under some conditions and apply the results to the copula-ARMA model. We provide simulation results for illustration.

Dealing with the Willingness-to-Pay Data with Preference Intensity : A Semi-parametric Approach (선호강도를 반영한 지불의사액 자료의 준모수적 분석)

  • Yoo, Seung-Hoon
    • Environmental and Resource Economics Review
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    • v.14 no.2
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    • pp.447-474
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    • 2005
  • Respondents, in the willingness to pay (WTP) survey, may have preference intensity about their stated WTP values. This study elicited a post-decisional intensity measure for each observed WTP answer for gathering information on the degree of preference intensity. In order to deal with the WTP data with preference intensity, this paper considers using the Type 3 Tobit model. This is usually estimated by the parametric two-stage estimation method assuming homoskedastic and bivariate normal error structure. However, if the assumptions are not satisfied, the estimates are inconsistent. The author has tested the hypotheses of homoskedasticity and normality, and could not accept them at the 1% level. The assumptions required to estimate the parametric Type 3 model are, therefore, too strong to be satisfied. As an alternative the parametric model, this study applies a semiparametric Type 3 Tobit model. The results show that the semiparametric model significantly outperforms the parametric model, and that more importantly, the mean WTP from the parametric model is significantly different from that from the semiparametric model.

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A Semiparametric Estimation of the Contingent Valuation Model (조건부가치평가모형의 준모수 추정)

  • Park, Joo Heon
    • Environmental and Resource Economics Review
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    • v.12 no.4
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    • pp.545-557
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    • 2003
  • A new semiparametric estimator of a dichotomous choice contingent valuation model is proposed by adapting the well-known density weighted average derivative of the regression function. A small sample behavior of the estimator is demonstrated very briefly by a simulation and the estimator is applied to estimate the WTP for preserving the Dong River area in Korea.

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Shrinkage Small Area Estimation Using a Semiparametric Mixed Model (준모수혼합모형을 이용한 축소소지역추정)

  • Jeong, Seok-Oh;Choo, Manho;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.27 no.4
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    • pp.605-617
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    • 2014
  • Small area estimation is a statistical inference method to overcome large variance due to a small sample size allocated in a small area. A shrinkage estimator obtained by minimizing relative error(RE) instead of MSE has been suggested. The estimator takes advantage of good interpretation when the data range is large. A semiparametric estimator is also studied for small area estimation. In this study, we suggest a semiparametric shrinkage small area estimator and compare small area estimators using labor statistics.

A comparison on coefficient estimation methods in single index models (단일지표모형에서 계수 추정방법의 비교)

  • Choi, Young-Woong;Kang, Kee-Hoon
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.6
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    • pp.1171-1180
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    • 2010
  • It is well known that the asymptotic convergence rates of nonparametric regression estimator gets worse as the dimension of covariates gets larger. One possible way to overcome this problem is reducing the dimension of covariates by using single index models. Two coefficient estimation methods in single index models are introduced. One is semiparametric least square estimation method, which tries to find approximate solution by using iterative computation. The other one is weighted average derivative estimation method, which is non-iterative method. Both of these methods offer the parametric convergence rate to normal distribution. However, practical comparison of these two methods has not been done yet. In this article, we compare these methods by examining the variances of estimators in various models.

Generalized Linear Mixed Model for Multivariate Multilevel Binomial Data (다변량 다수준 이항자료에 대한 일반화선형혼합모형)

  • Lim, Hwa-Kyung;Song, Seuck-Heun;Song, Ju-Won;Cheon, Soo-Young
    • The Korean Journal of Applied Statistics
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    • v.21 no.6
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    • pp.923-932
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    • 2008
  • We are likely to face complex multivariate data which can be characterized by having a non-trivial correlation structure. For instance, omitted covariates may simultaneously affect more than one count in clustered data; hence, the modeling of the correlation structure is important for the efficiency of the estimator and the computation of correct standard errors, i.e., valid inference. A standard way to insert dependence among counts is to assume that they share some common unobservable variables. For this assumption, we fitted correlated random effect models considering multilevel model. Estimation was carried out by adopting the semiparametric approach through a finite mixture EM algorithm without parametric assumptions upon the random coefficients distribution.

Comparison of semiparametric methods to estimate VaR and ES (조건부 Value-at-Risk와 Expected Shortfall 추정을 위한 준모수적 방법들의 비교 연구)

  • Kim, Minjo;Lee, Sangyeol
    • The Korean Journal of Applied Statistics
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    • v.29 no.1
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    • pp.171-180
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    • 2016
  • Basel committee suggests using Value-at-Risk (VaR) and expected shortfall (ES) as a measurement for market risk. Various estimation methods of VaR and ES have been studied in the literature. This paper compares semi-parametric methods, such as conditional autoregressive value at risk (CAViaR) and conditional autoregressive expectile (CARE) methods, and a Gaussian quasi-maximum likelihood estimator (QMLE)-based method through back-testing methods. We use unconditional coverage (UC) and conditional coverage (CC) tests for VaR, and a bootstrap test for ES to check the adequacy. A real data analysis is conducted for S&P 500 index and Hyundai Motor Co. stock price index data sets.

Modeling Clustered Interval-Censored Failure Time Data with Informative Cluster Size (군집의 크기가 생존시간에 영향을 미치는 군집 구간중도절단된 자료에 대한 준모수적 모형)

  • Kim, Jinheum;Kim, Youn Nam
    • The Korean Journal of Applied Statistics
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    • v.27 no.2
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    • pp.331-343
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    • 2014
  • We propose two estimating procedures to analyze clustered interval-censored data with an informative cluster size based on a marginal model and investigate their asymptotic properties. One is an extension of Cong et al. (2007) to interval-censored data and the other uses the within-cluster resampling method proposed by Hoffman et al. (2001). Simulation results imply that the proposed estimators have a better performance in terms of bias and coverage rate of true value than an estimator with no adjustment of informative cluster size when the cluster size is related with survival time. Finally, they are applied to lymphatic filariasis data adopted from Williamson et al. (2008).

Rainfall Frequency Analysis Based on the Copula Method (Copula 방법을 통한 강우 빈도 해석)

  • Joo, Kyung-Won;Shin, Ju-Young;Kim, Soo-Young;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.376-380
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    • 2011
  • 강우사상은 강우량, 지속기간, 강우강도 등의 특성으로 표현될 수 있으며 이런 인자들을 같이 고려할수록 그 현상을 보다 종합적으로 표현할 수 있다. 하지만 현재 일반적으로 이루어지는 일변량 빈도해석절차에서는 지속기간을 고정시켜놓고 각 지속시간에 따른 결과만을 도출해 낼 수 있기 때문에 지속기간에 대해 제약적이고 입력자료에 존재하지 않는 지속기간에 대한 결과를 얻기가 어렵다. Copula모델은 두 일변량 분포형을 다변량 분포형으로 연결하여 주는 모델이다. 따라서 강우량과 지속기간을 변수로 사용하면 Copula모델을 통한 이변량 강우빈도해석은 보편적으로 이루어지고 있는 일변량 지점빈도해석보다 지속기간에 대해 유연한 결과를 나타낼 수 있다. 즉, 강우와 지속기간이 동시에 변수로 사용되기 때문에 임의의 지속기간이나 강우에 대해서 확률강우량 및 확률지속기간을 얻을 수 있다. 본 연구에서는 서울지점을 대상으로 1961∼2009년 동안 발생한 강우사상 중 각 년도에서 최대강우량이 발생한 사상을 추출하여 입력자료로 사용하였다. Copula 모형은 Gumbel-Hougaard, Frank, Joe, Clayton, Galambos등 총 5개의 모델을 적용하였고 각 Copula의 매개변수는 준모수방법인 maximum pseudolikelihood estimator를 이용하여 추정하였다.

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