Sentence examples for be approximated by normal from inspiring English sources

Using large-sample Bayesian techniques, the posterior distributions may be approximated by normal distributions.

where the measurement noise ω i is assumed to be approximated by normal distribution (N 0,{sigma _{i}^{2}})), and the measurements are also assumed to be statistically independent of each other given the parameter; that is, (p z_{1},cdots,z_{M}|theta)=prod _{i~=~1}^{M} p z_{i}|theta)).

Landing position distributions can be approximated by normal distributions, however, these distributions are truncated at word boundaries, suggesting that some of the fixations observed experimentally on a particular word were in fact intended for an adjacent word [3].

Unlike the simple ratio target species/competitor species known to have the Cauchy distribution, this response variable comes from a β distribution, which can be approximated by normal distribution (and thus linear regression can be used; Sokal and Rohlf 1987).

To evaluate this significance, we study the empirical distributions of the scores of optimal N-maps and show that they can be approximated by normal distributions with a reasonable accuracy.

The delta method extends the propagation of error analysis by noting that, by the central limit theorem, the random quantity given by the linear approximation can be approximated by a normal distribution.

Considering that the binomial distribution can be approximated by the normal distribution and the linear combination of normal distributions is also a normal distribution [25], the average electrical power consumption of an individual air conditioner has approximately a normal distribution: Pleft( t right)sim,Nleft( {Eleft( {Pleft( t right)} right),Dleft( {Pleft( t right)} right)} right) (63).

The normal distribution is suitable for interval estimation and X t) has approximately a normal distribution N(E(X t)), D(X t))) because the binomial distribution can be approximated by the normal distribution [25].

If the individual measurements could be viewed as approximately independent and identically distributed, then their mean could be approximated by a normal distribution.

Under suitable conditions, the sampling distribution of (hat {boldsymbol {theta }}) can be approximated by the normal distribution with mean vector θ and variance-covariance matrix (hat {mathbf {J}}^{-1}), that is, approximately hat{boldsymbol{theta}} sim mathcal{N}({boldsymbol{theta}},, n^{-1}{hat{mathbf{J}}^{-1}}).

For large sample sizes, the central limit theorem indicates that the sampling distribution of x̄ can be approximated by a normal probability distribution.