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Exact(4)

where F l is the complex amplitude of the l th wave, and N is the Gaussian noise vector with zero means and equal variances σ2.

The Scanlan signature model (SSM) which forms the conceptual basis for many of his empirical claims consists of two normal distributions with different means and equal variances, the normal shift model.

Such pdf (50) characterizes, in an explicit statistical sense, the pdf of a sum of K squared magnitudes of independent complex normal random variables with zero means and equal variances σ 2 [39].

The null hypothesis of ωpop and ωML being independent random samples from the same distributions with equal means and equal but unknown variances is strongly rejected when Δ G greater than − 6 kcal/mol (supplementary fig. S3, Supplementary Material online).

Similar(56)

Eventually, the joint posterior distribution of augmented data, clusters of serotypes and parameters was explored by MCMC sampling, and characterized by means and equal-tailed 95% credible intervals (CI).

The statistical model also requires that the random errors ɛ x1, x2) be independently distributed, with zero mean and equal variance, at all level combinations of the factorial design.

by a sensing matrix A, a sparse radar profile x, signals Ax, and complex Gaussian noise z with zero mean and equal variances γ, p z|γ) ∝ exp -|z|2 / γ).

Furthermore, we assume that these errors are uncorrelated random variables with zero mean and equal variances σ Δ a 2. The disturbed array manifold matrix can then be written as, A ̃ = A + Δ A (3).

We can see this by looking in turn at UBI's main selling points: no conditionality, no means-testing and equal payments to all.

Posterior means and 95% equal-tailed credible intervals of the ORs for the simple model and the model adjusted for confounding variables.

Figure 2 gives posterior means and 95% equal-tailed credible intervals for the ORs after increasing up to ten times the assumed measurement error variability for the exposures.

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