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Entropies of Likelihood Functions
1992We show that the normalized likelihood function needed to get from a prior probability vector to the posterior that results from the minimum cross-entropy inference process has the highest entropy among all probability vectors satisfying an appropriate set of linear constraints. We regard the domains of the entropy and cross-entropy functions as groups.
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Maximum Likelihood Transfer Function Modelling
1992A state-space realization of the transfer-function model of Box and Jenkins (1976) is used to compute the exact Gaussian likelihood of the stationary input-output series, (X t’ Y t),t = 1,…,n, and to compute the exact linear mean-square predictor of the output Y t+h based on (X t’ Y t),t = 1,…,n. We show how to use the state-space formulation for model
P. J. Brockwell, R. A. Davis, H. Salehi
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EMPIRICAL LIKELIHOOD AND DIFFERENTIABLE FUNCTIONALS
2016Empirical likelihood (EL) is a recently developed nonparametric method of statistical inference. It has been shown by Owen (1988,1990) and many others that empirical likelihood ratio (ELR) method can be used to produce nice confidence intervals or regions. Owen (1988) shows that -2logELR converges to a chi-square distribution with one degree of freedom
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Composition and functions of bacterial membrane vesicles
Nature Reviews Microbiology, 2023Masanori Toyofuku +2 more
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The Plausibility and Likelihood Functions
2003The notion of likelihood is an important concept in modern statistics. In particular, the likelihood ratio has been used by several authors [19, 37] to measure the strength of the evidence represented by observations in statistical problems. This idea works fine when the goal is to evaluate the strength of the available evidence for a simple hypothesis
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Gene regulation by long non-coding RNAs and its biological functions
Nature Reviews Molecular Cell Biology, 2020Luisa Statello +2 more
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The modified profile likelihood function
2000Abstract In Chapter 8 it was shown that, in some cases, inference about a parameter of interest ψ may be based on a marginal or conditional likelihood function. Those methods are only available however when the model has a particular structure.
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The expanding regulatory mechanisms and cellular functions of circular RNAs
Nature Reviews Molecular Cell Biology, 2020Ling-Ling Chen
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The regulation and functions of DNA and RNA G-quadruplexes
Nature Reviews Molecular Cell Biology, 2020Jochen Spiegel +2 more
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Global view of human protein glycosylation pathways and functions
Nature Reviews Molecular Cell Biology, 2020Katrine T Schjoldager +2 more
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