Sentence examples for using the Beta distribution from inspiring English sources
Variables that are defined in (0,1) can be modelled using the Beta distribution.
Because soil Poisson ratio is bounded in practice between two extreme values, its random field is obtained by using the Beta distribution.
The ARE of estimated mean using the beta distribution was 0.00068 and it was quite smaller than that of the normal distribution (0.0118).
Since probabilities are limited by 0 and 1, their distribution is better expressed using the beta distribution which is defined on the interval (0, 1) and is frequently used as a prior distribution in Bayesian analysis.
As suggested by Wu et al. (2011), the diagonal weight matrix was chosen using the beta distribution density function with parameters a1 = 1 and a2 = 25 evaluated at the sample minor-allele frequency or MAF (default option of SKAT package of R).
Negative binomial distribution was introduced to address the gene expression (counts) modeling for single-isoform genes and a mixed model of negative binomials using the beta distribution parameters as the mixture weights, followed by a t-test for defined statistics, to identify the significantly differentially expressed genes [ 30].
Because a i is binomially distributed with binomial parameter x, we use the beta distribution (conjugate to the binomial) to describe the probability density of x.
To describe the initial knowledge concerning probabilities of success, we use the beta distribution to the Bayesian approach and hence the prior distribution P(, , i) can be stated as: (11 where α, β > 0, is the power function of ( mathcal{a} ) and b.
The model uses the beta distribution as a prior distribution for FDRs.
These models use the beta distribution to describe the numbers of sites across different categories of ω.
The true prevalence of S. dublin infection was calculated for each area using the Beta-distribution, Beta (α1, α2), where α1 = (r + 1) and α2 = (n - r + 1) and r = the true number of infected herds in all test rounds, and n = the total number of herds [ 9].
