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Instead, this work focuses on presenting a set of tools and a probabilistic framework that can be used to correctly quantify TAM sensitivity and demonstrating the approach for one dynamic system and for a particular probabilistic model for the errors contaminating the test mode shapes.
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In particular, probabilistic distributions of the two norms of correlation matrices defined in Part I are delivered for an arbitrary sample size and number of random variables in the case when the sampled values are ordered randomly.
Analyses of this kind are concerned with producing estimates of the probability of occurrence of a hazard at a site given the location, magnitude, and frequency of hazardous events around that site; in particular Probabilistic Seismic Hazard Analysis (PSHA).
But the successes of statistical NLP, as well as recent developments in cognitive science (e.g., Fine et al. 2013; Tenenbaum et al. 2011; Chater and Oaksford 2008) suggest that language and thinking are not only symbolic, but deeply quantitative and in particular probabilistic.
Codonic composition of coding exons has particular probabilistic properties that allow gene finders to synchronize their prediction engines with gene structure and efficiently stitch exons in frame-consistent fashion [ 2].
Since HMMs are a particular class of probabilistic graphical models we call our method Probabilistic Graphical Query Language.
Reichenbach introduced the terminology of "screening off" to describe a particular type of probabilistic relationship.
This motif (sequence pattern) is then modelled by a particular type of probabilistic models, called Hidden Markov Models (HMM).
New haplotypes can be compared to existing databases of barcodes, and they can be assigned to a particular species using probabilistic algorithms [ 15, 16].
Genotype calling uncertainty may be accounted for by applying cut-offs on proportion of reads (e.g., calling individuals homozygous for a SNP if >80% of their reads is of a particular allele) or probabilistic methods (returning posterior probabilities of genotypes), which rely on some estimates of error rate and population allele frequency at SNPs (Nielsen et al. 2011).
It is doubtful that evidence of a person's character and past behaviour can have no probabilistic bearing on his behaviour on a particular occasion; on a probabilistic conception of relevance, it is difficult to see why the evidence is not relevant.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com