Exact(13)
It is assumed that errors are correlated and have the same variances.
Unlike Student's t test, Welch's t test does not assume the same variances in two populations, but it assumes that the populations follow normal distributions.
Then, the method is further developed and applied to general wide-band Gaussian processes by dividing the spectrum into three segments with the same variances and calculating the fatigue damage in the same way as for the ideal trimodal processes.
On average, RMS errors for satellite and observatory data are of the same order of magnitude, which supports our choice of using the same variances for both types of data.
To proceed, we make the following assumptions [15]: 1) microphone gain and phase errors are uncorrelated; 2) all microphones have the same variances Var{a f,θ)} and Var{γ f,θ)} for gain and phase errors, respectively.
In (71), all the terms containing E(x n xn+ε) and E((x n xn+ε)∗) were omitted since in complex circular normal variables, these terms are zeroed, if the imaginary and real parts have the same variances.
Similar(47)
has then the same variance as and thus.
Instead, "For any given country, you quite reproducibly measure the same variance ratio," Mertz says.
Any probability distribution with zero mean and the same variance will result in the same SINR.
If the distributions have the same variance, then d′ reflects subjects' discrimination of targets and lures.
These two noise samples are zero-mean circular Gaussian, white and uncorrelated with the same variance.
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