• 제목/요약/키워드: Extended quasi-likelihood

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평균과 분산의 동시모형에 따른 회귀진단법에 관한 연구 (Regression Diagnostics on Joint Modelling of Mean and Dispersion)

  • 강위창;이영조;송문섭
    • 응용통계연구
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    • 제13권2호
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    • pp.407-414
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    • 2000
  • Carroll과 Ruppert(1988)는 준가능도(quasi-likelihood)를 이용하여 에스트라제 측정자료를 회귀분석하였다. Jung과 Lee(1997)는 준가능도을 이용한 회귀분석모형의 적합도정통계량을 제안하였으며 검정 별과 기각되지 않아 본 분석모형이 타당하다고 주장하였다. 그러나 Lee와 Nelder(1998)의 잔차그림을 검토한 결과, 상기 모형으로는 평균증가에 따른 분산증가를 충분히 반영할 수 없었다. 본 논문에서는 Lee와 Nelder(1998)의 평균과 분산의 동시모형으로 에스트라제 자료를 재분석하고 잔차그림을 이용하여 모형의 타당성을 재평가하였다. 또한 분산에서 산포모형에 대한 적합도검정에는 Lee와 Nelder(1998)의 제한가능도(restricted likelihood)에 근거한 검정법이 보다 적절함을 제시하였다.

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Estimating Parameters in Overdispersed Binary Data

  • Lee, Sunho
    • Communications for Statistical Applications and Methods
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    • 제7권1호
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    • pp.269-276
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    • 2000
  • there are several methods available for estimating parameters in overdispersed binary response data with the litter effect. Simulations are performed to compare methods for estimating an overall mean and an overdispersion parameter using moments a maximum likelihood under a beta-binomial distribution a maximum quasi-likelihood and a maximum extended quasi-likelihood.

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Score Tests for Overdispersion

  • Kim, Choong-Rak;Jeong, Mee-Seon;Yang, Mee-Yeong
    • Journal of the Korean Statistical Society
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    • 제23권1호
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    • pp.207-216
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    • 1994
  • Count data are often overdispersed, and an appropriate test for the existence of the overdispersion is necessary. In this paper we derive a score test based on the extended quasi-likelihood and the pseudolikelihood after adjusting to the Bartlett factor. Also, we compare it with Levene (1960)'s F-type test suggested by Ganio and Schafer (1992).

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Empirical Bayes Estimate for Mixed Model with Time Effect

  • Kim, Yong-Chul
    • Communications for Statistical Applications and Methods
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    • 제9권2호
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    • pp.515-520
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    • 2002
  • In general, we use the hierarchical Poisson-gamma model for the Poisson data in generalized linear model. Time effect will be emphasized for the analysis of the observed data to be collected annually for the time period. An extended model with time effect for estimating the effect is proposed. In particularly, we discuss the Quasi likelihood function which is used to numerical approximation for the likelihood function of the parameter.

준우도 함수의 분산치 교정 (Adjustments of dispersion statistics in extended quasi-likelihood models)

  • 김충락;서한손
    • 응용통계연구
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    • 제6권1호
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    • pp.41-52
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    • 1993
  • 본 논문에서는 과산포 혼합 모형인 음이항 분포와 베타이항 분포에서 피어슨 형태 및 데비 언스 형태의 분산치 교정에 대한 효과를 수리적으로 비교했다. 이들 과산포 혼합 모형은, 평 균과 분산을 동시에 모형화 하는데 매우 유용한 준우도함수의 중요한 구성원이다. 모의실험 을 통해서 분산치의 교정이 평균, 산포모수에 따라 어떻게 달라지는지 비교 연구하였다.

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Extended Quasi-likelihood Estimation in Overdispersed Models

  • Kim, Choong-Rak;Lee, Kee-Won;Chung, Youn-Shik;Park, Kook-Lyeol
    • Journal of the Korean Statistical Society
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    • 제21권2호
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    • pp.187-200
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    • 1992
  • Samples are often found to be too heterogeneous to be explained by a one-parameter family of models in the sense that the implicit mean-variance relationship in such a family is violated by the data. This phenomenon is often called over-dispersion. The most frequently used method in dealing with over-dispersion is to mix a one-parameter family creating a two parameter marginal mixture family for the data. In this paper, we investigate performance of estimators such as maximum likelihood estimator, method of moment estimator, and maximum quasi-likelihood estimator in negative binomial and beta-binomial distribution. Simulations are done for various mean parameter and dispersion parameter in both distributions, and we conclude that the moment estimators are very superior in the sense of bias and asymptotic relative efficiency.

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Adaptive Channel-Matched Extended Alamouti Space-Time Code Exploiting Partial Feedback

  • Badic, Biljana;Rupp, Markus;Weinrichter, Hans
    • ETRI Journal
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    • 제26권5호
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    • pp.443-451
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    • 2004
  • Since the publication of Alamouti's famous space-time block code, various quasi-orthogonal space-time block codes (QSTBC) for multi-input multi-output (MIMO) fading channels for more than two transmit antennas have been proposed. It has been shown that these codes cannot achieve full diversity at full rate. In this paper, we present a simple feedback scheme for rich scattering (flat Rayleigh fading) MIMO channels that improves the coding gain and diversity of a QSTBC for 2$^n$ (n=3, 4, ${\cdots}$) transmit antennas. The relevant channel state information is sent back from the receiver to the transmitter quantized to one or two bits per code block. In this way, signal transmission with an improved coding gain and diversity near to the maximum diversity order is achieved. Such high diversity can be exploited with either a maximum-likelihood receiver or low-complexity zero-forcing receiver.

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Climate Change Scenario Generation and Uncertainty Assessment: Multiple variables and potential hydrological impacts

  • 권현한;박래건;최병규;박세훈
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2010년도 학술발표회
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    • pp.268-272
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    • 2010
  • The research presented here represents a collaborative effort with the SFWMD on developing scenarios for future climate for the SFWMD area. The project focuses on developing methodology for simulating precipitation representing both natural quasi-oscillatory modes of variability in these climate variables and also the secular trends projected by the IPCC scenarios that are publicly available. This study specifically provides the results for precipitation modeling. The starting point for the modeling was the work of Tebaldi et al that is considered one of the benchmarks for bias correction and model combination in this context. This model was extended in the framework of a Hierarchical Bayesian Model (HBM) to formally and simultaneously consider biases between the models and observations over the historical period and trends in the observations and models out to the end of the 21st century in line with the different ensemble model simulations from the IPCC scenarios. The low frequency variability is modeled using the previously developed Wavelet Autoregressive Model (WARM), with a correction to preserve the variance associated with the full series from the HBM projections. The assumption here is that there is no useful information in the IPCC models as to the change in the low frequency variability of the regional, seasonal precipitation. This assumption is based on a preliminary analysis of these models historical and future output. Thus, preserving the low frequency structure from the historical series into the future emerges as a pragmatic goal. We find that there are significant biases between the observations and the base case scenarios for precipitation. The biases vary across models, and are shrunk using posterior maximum likelihood to allow some models to depart from the central tendency while allowing others to cluster and reduce biases by averaging. The projected changes in the future precipitation are small compared to the bias between model base run and observations and also relative to the inter-annual and decadal variability in the precipitation.

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