Sentence examples for by the binomial distribution from inspiring English sources
In particular, we show the key role played by the binomial distribution and related tail inequalities, and compute the sample complexity.
The procedure proposed by Jayaraj and Tien for characterizing the adsorption affinity of solutions with unknown compositions was modified by assuming that the solute concentrations may be described by the binomial distribution function.
Hence, the probability in question, which equals the number of favourable outcomes divided by the number of possible outcomes, is given by the binomial distribution where p = r/(r + b) and q = b/(r + b) = 1 − p. For example, suppose r = 2b and n = 4.
Forced outage rates are modelled by the Binomial distribution [30].
This illogical result is due to the large variance formed by the binomial distribution explained in Appendix "Hypergeometric distribution".
The estimated frequencies determined by the binomial distribution, while better than those from the Poisson and negative binomial models, still deviate considerably in comparison to the sCMP class.
By using the Binomial distribution rather than a normal approximation, falcon more effectively pools evidence from sites with low coverage.
We calculated confidence intervals for each of these proportions by approximating the binomial distribution with a normal distribution.
By approximating the binomial distribution with a Poisson distribution and recalling that the sum of independent Poisson random variables is also a Poisson random variable, it is straightforward to show that the method for generating the count c i specified by eqs.
The association between the likelihood of reporting a symptom and variables at initial classification (i.e., age at initial classification, sex, race, education, income, fatigue severity, wellness score, illness duration, onset type, and age at onset) was determined by using the binomial distribution with the logit link.
Assuming that the predictions are independent given the true edge label, then the conditional distributions of the sum X = X 1 + X 2 +... + X M are modeled by the Binomial distributions: (1) Pr (X = k | Y = 1 ) = (M k ) P T k (1 − P T ) M − k (2) Pr (X = k | Y = 0 ) = (M k ) P F k (1 − P F ) M − k where k is effectively the number of 'votes' received by an edge.
