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Dec 6, 2018 · Bernoulli, Jurin and the math behind smallpox. In December of 1694, Mary II of England fell ill. Physicians who attended the stricken queen, half of the pair known as William and Mary, argued over a diagnosis, but before long it became clear that she had contracted a severe form of smallpox. She died three days after Christmas, and the news was ...
- Hurdle Model: Main Results
- Interpretation of The covariates’ Role
- Landslide Hazard Components
- Unified Landslide Hazard
Figure 3 shows the posterior means and corresponding 95% credible intervals of the fixed effects for the Bernoulli and Gaussian models. The selected covariates show relatively moderate positive and negative influences on landslide log-sizes and occurrences. The extent to which a covariate, significant or not, contributes to the model can be summari...
The advantage of a statistical model over other data-driven approaches is that the association between dependent and independent variables can be clearly interpreted. This is particularly useful for examining the geomorphological reasonability of a given model. Below, we will present a few examples of our interpretation for those covariates that be...
Figure 7presents our findings in terms of posterior means and width of the 95% credible intervals (CI) for landslide susceptibility and sizes (in log-scale) across the island. There, large portions of the areas characterised by higher landslide probability (central north and southern coastlines) coincide with areas where larger landslide sizes are ...
The Bernoulli model addresses the island’s susceptibility under extreme conditions, such as those induced by Maria. It estimates how prone a given location is to host slope failures, but it is blind to how large landslides may become once they initiate and propagate downhill. To compensate this limitation, the Gaussian model provides information on...
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physics. The Bernoulli family ( / bɜːrˈnuːli / bur-NOO-lee, German: [bɛʁˈnʊli], [a] Swiss Standard German: [bɛrˈnʊli]) of Basel was a patrician family, notable for having produced eight mathematically gifted academics who, among them, contributed substantially to the development of mathematics and physics during the early modern period .
Apr 23, 2022 · Answer. The Buffon trial data set gives the results of 104 repetitions of Buffon's needle experiment. Theoretically, the data should correspond to Bernoulli trials with p = 2 / π, but because real students dropped the needle, the true value of p is unknown. Construct a 95% confidence interval for p.
Hermann Karl Hesse ( German: [ˈhɛʁman ˈhɛsə] ⓘ; 2 July 1877 – 9 August 1962) was a German-Swiss poet, novelist, and painter. His best-known works include Demian, Steppenwolf, Siddhartha, and The Glass Bead Game, each of which explores an individual's search for authenticity, self-knowledge, and spirituality.
- German, Swiss
- Cimitero di S. Abbondio, Gentilino, Ticino
- Fiction
2.4.1.1 Multivariate Bernoulli model. In the multivariate Bernoulli model, an object is a binary vector over the space of features. Given a set of features F, | F | = m, each object oj is represented as a vector of m Bernoulli random variables oj ≡ ( f1, …, fm) such that: (2.4) We can write the probability of an object by using the NB ...
As a member of the exponential distribution family, the multivariate Bernoulli distribution has the fundamental ‘link’ between the natural and general parameters. Lemma 3.1 (Parameter transformation). For the multivariate Bernoulli model, the general parameters and natural parameters have the following relationship.
