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A Bayesian justification of Cox's partial likelihood
Biometrika, 2003SUMMARY In this paper, we establish both naive and formal Bayesian justifications of Cox's (1975) partial likelihood and its various modifications. We extend the original work of Kalbfieisch (1978), who showed that the partial likelihood is a limiting marginal posterior under noninformative priors for baseline hazards. We extend the result to scenarios
D. Sinha, J. Ibrahim, Ming-Hui Chen
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ASYMPTOTIC LIKELIHOOD APPROXIMATIONS USING A PARTIAL LAPLACE APPROXIMATION
Australian & New Zealand Journal of Statistics, 2006SummaryElimination of a nuisance variable is often non‐trivial and may involve the evaluation of an intractable integral. One approach to evaluate these integrals is to use the Laplace approximation. This paper concentrates on a new approximation, called the partial Laplace approximation, that is useful when the integrand can be partitioned into two ...
Taylor, J., Verbyla, A.
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A weighted partial likelihood approach for zero‐truncated models
Biometrical Journal, 2019AbstractZero‐truncated data arises in various disciplines where counts are observed but the zero count category cannot be observed during sampling. Maximum likelihood estimation can be used to model these data; however, due to its nonstandard form it cannot be easily implemented using well‐known software packages, and additional programming is often ...
Wen‐Han Hwang +2 more
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Likelihood and Partial Likelihood
1988During the fifty years (1912–1962) that R.A. Fisher dominated the field of statistical research, he came out with many innovative ideas like likelihood, sufficiency, ancillarity, asymptotic efficiency, information and intrinsic accuracy, pivotal quantities and fiducial distribution, conditionality argument and recovery of ancillary information ...
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Fixed-Effects Partial Likelihood for Repeated Events
Sociological Methods & Research, 1996Methods of event history analysis are frequently applied to data in which individuals are observed for a fixed interval of time, with repeated events during that interval. It is common to analyze such data as though each spell represented a distinct observation, ignoring the fact that some individuals contribute multiple spells.
P. Allison
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Partial likelihood for real-time signal processing
1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings, 2002We introduce a unified statistical framework for real-time signal processing with neural networks by using a recent extension of maximum likelihood (ML) estimation, partial likelihood (PL) estimation theory, which allows for (i) dependent observations, and (ii) processing of data using only the information that is available at the time of processing ...
T. Adali, M.K. Sonmez, null Xiao Liu
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Likelihood ratio testing on partial multinormal data
Statistics & Probability Letters, 1984The paper is mainly concerned with the problem of missing data in a multinormal distribution. Of particular interest is the question: When does the incorporation of partial records prove beneficial (in terms of reducing variance of the estimators)? This depends on the significance of the information provided by the partial records.
Smith, W. B., Riggs, M. W.
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Partial likelihood methods for probability density estimation
Neural Networks for Signal Processing IX: Proceedings of the 1999 IEEE Signal Processing Society Workshop (Cat. No.98TH8468), 2003Partial likelihood (PL) establishes a sufficiently general framework to develop and study statistical properties of nonlinear techniques in signal processing. Adah et al. (1997), present the theorem by which the fundamental information-theoretic relationship for learning the PL cost, the equivalence of likelihood maximisation and relative entropy ...
H. Ni, T. Adali, null Bo Wang
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Examples Questioning the Use of Partial Likelihood
The Statistician, 1987On donne des exemples qui jettent un doute sur la validite generale de l'argument de vraisemblance partielle et suggerent que des conditions plus rigoureuses soient mises en place avant une utilisation generale de la ...
C. A. de B. Pereira, D. V. Lindley
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Penalized partial likelihood for sequential order selection
Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (Cat. No.00EX373), 2002We have previously shown that partial likelihood estimation of finite normal mixtures (FNM) yields very efficient estimators and hence provides a very attractive solution for real-time signal processing. Order selection, however, is a very important factor affecting the overall performance. We address the problem of order selection for the FNM model in
null Hongmei Ni, T. Adali
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