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Gaussian random variables with zero mean and unknown variance σ2.
In [9] and [10], the NBI is assumed to be Gaussian distributed in the frequency domain, with zero mean and unknown power.
Since the applied transformation in (6) is orthonormal, the noise process Wn,k in (7) is also a CSCWG process with zero mean and unknown variance of σ2.
Gravity g i at a time t = t i can be modeled as a sum of a linear trend and normally distributed random noise w i with zero mean and unknown variance σ2 as (3).
where we assume that the additive noise w(m) is a circularly symmetrical complex white Gaussian (CSCWG) process, i.e., w ( m ) ∼ N 0, σ 2 with zero mean and unknown variance of σ2.
Moreover, comparing in another situation instrumental accuracy by measuring a certain standard several times with two gages may generate random samples having the same known mean and unknown variances which one might be interested then to compare with each other.
Similar(51)
The noise is assumed to be a complex circular white Gaussian random process i.i.d. with zero-mean and unknown variance.
For example, it is assumed that, for t ≠ s, the infinitesimal random increments dA t) = A(t + dt) − A t) and A(s + ds) − A(s) caused by collisions of the particle with molecules of the surrounding medium are independent random variables having distributions with mean 0 and unknown variances σ2 dt and σ2 ds and that dA t) is independent of dV(s) for s < t.
Consider a normal distribution with known mean μ and unknown variance σ 2 to be inferred.
ε[ t] is assumed to be a Gaussian noise with mean zero and unknown standard deviation σ.
A statistical model adopted in the Bayesian inference assumes measurement error to follow normal distribution with mean zero and unknown variance (error variance).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com