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Adams Conditioning and Likelihood Ratio Transfer Mediated Inference
Scientific Annals of Computer Science, 2019 Bayesian inference as applied in a legal setting is about belief transfer and involves a plurality of agents and communication protocols. A forensic expert (FE) may communicate to a trier of fact (TOF) first its value of a certain likelihood ratio ...
Jan A. Bergstra
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On the Distribution of the Likelihood Ratio
The Annals of Mathematical Statistics, 1954 A classical result due to Wilks [1] on the distribution of the likelihood ratio $\lambda$ is the following. Under suitable regularity conditions, if the hypothesis that a parameter $\theta$ lies on an $r$-dimensional hyperplane of $k$-dimensional space is true, the distribution of $-2 \log \lambda$ is asymptotically that of $\chi^2$ with $k - r ...
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Estimation of a Likelihood Ratio Ordered Family of Distributions [PDF]
, 2023 Consider bivariate observations $(X_1,Y_1), \ldots, (X_n,Y_n) \in \mathbb{R}\times \mathbb{R}$ with unknown conditional distributions $Q_x$ of $Y$, given that $X = x$.
Dümbgen, Lutz, Mösching, Alexandre
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Scale invariant for one-sided multivariate likelihood ratio tests [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2010 Suppose 1 2 , ,..., n X X X is a random sample from Np ( ,V ) distribution. Consider 0 1 2 : ... 0 p H and1 : 0 for 1, 2,..., i H i p , let 1 0 H H denote the hypothesis that 1 H holds but 0 H does not, and let ~ 0 H denote ...
Samruam Chongcharoen
doaj
Forensic Sciences Research, 2019 In recent years, many studies have been conducted in the field of firearm identification with the objective of providing an objective method of evaluating the comparison of cartridge cases.
Feng Dong +4 more
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Central Nervous System Tumors Among Infants in Canada: A Report From CYP‐C
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Central nervous system (CNS) tumors in infants are rare, pose unique clinical challenges, and lack large‐scale evidence‐based data to guide management. This study seeks to describe CNS tumors in Canadian infants and to compare their outcomes with those of older children.
Samuel Sassine +17 more
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On the Distribution of the Likelihood Ratio
The Annals of Mathematical Statistics, 1956 In an investigation of the distribution of the likelihood ratio $\lambda$, Wilks [3] proved, under certain regularity conditions, that $-2 \ln \lambda$ is, except for terms of order $1/\sqrt n$, distributed like $\chi^2$ with $k - m$ degrees of freedom, where $k$ is the dimension of the parameter space $\Omega$ of admissible hypotheses and $m$ is the ...
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Likelihood Ratio Exponential Families
CoRR, 2020 The exponential family is well known in machine learning and statistical physics as the maximum entropy distribution subject to a set of observed constraints, while the geometric mixture path is common in MCMC methods such as annealed importance sampling.
Rob Brekelmans +4 more
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Comparative Drug Response Profiling in Neuroblastoma Cell Lines and Patient‐Derived Tumor Organoids
Pediatric Blood &Cancer, EarlyView.ABSTRACT High‐risk neuroblastoma remains a leading cause of pediatric cancer mortality, and improved preclinical models are needed to guide therapeutic developments. We screened seven high‐risk neuroblastoma cell lines and three patient‐derived tumor organoids with 528 compounds alongside bone marrow controls, and compared them with external datasets ...
Krzysztof Wierbiłowicz +12 more
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Biostatistics series module 7: The statistics of diagnostic tests
Indian Journal of Dermatology, 2017 Crucial therapeutic decisions are based on diagnostic tests. Therefore, it is important to evaluate such tests before adopting them for routine use. Although things such as blood tests, cultures, biopsies, and radiological imaging are obvious diagnostic ...
Avijit Hazra, Nithya Gogtay
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