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As a consequence, the accusation score of an innocent user is distributed according to a binomial distribution B(L,0.5) and the probability (Pr{Z_{k} < theta _{R} | k notin mathcal {C}}) can be upper bounded using Hoeffding's inequality as Pr left{Z_{k} < theta_{R} | k notin mathcal{C}right} leq expleft -frac{2(L/2 - thexpleft -frac{L}right) (17).
Since not all neurons are considered to be synaptically connected, the real synaptic weight is a product w i j s i j [9] where w i j = 1 or 0 according to a binomial process with probability c m (the morphological connectivity) that is supposed to model the existence of a physical synapse.
After each mitotic cycle, the n for each cell was doubled and then distributed randomly according to a binomial function between the two daughter cells.
Genotypes at 10,000 loci were simulated according to a binomial distribution, with minor allele frequency (MAF), drawn from a beta(.5,.5) distribution truncated at 1/2, and with frequencies filtered to be above 0.02.
In this study, observed frequencies for the number of infecting genotypes according to a binomial negative distribution, were larger than expected for the group of women coinfected with 4 viral types or less, but smaller for the group of women with a single infection; this trend could be considered as another marker for the high frequency of coinfection present in the population studied.
Asterisks indicate two tailed statistical significance at P < 0.05 according to a binomial distribution for misacylation potentials.
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We compare Bayesian regression estimates for the contaminated samples according to (a) negative binomial regression; (b) a standard Poisson log-normal (i.e. conditional mean estimation); and (c) a median regression under the HQRPLN representation.
For this latter measure we assume adult parasites are distributed among hosts in an aggregated manner, according to a negative binomial distribution with aggregation parameter k.
Data analysis according to a negative binomial regression showed an increase in the risk of acquiring more HPV types in women who were of indigenous ethnicity (+37.8%), while this risk decreased in women who had given birth more than 4 times (−31.1%), or were of mestizo (−24.6%) or black (−40.9%) ethnicity.
According to a second binomial logistic regression model, the timing of bolting was a strong predictor of the proportion of total fruit expressed during the SRE (χ32 = 2200.57, p < 0.005; Table 2).
Compared with the previous simulation design, one can observe that the change-point positions now change from one dataset to the other, and that the data are not anymore simulated according to a negative binomial distribution.
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