Sentence examples for mixture random from inspiring English sources

As it has been previously shown that Δ Wi,k behaves as a Gaussian mixture random variable.

for a finite constellation input signal, where (mathbf {r}_{mathcal {J}}^{text {sp}} triangleq sum _{kin mathcal {J}}sqrt {E_{k}}bar {mathbf {S}}_{k} mathbf {d}_{k} + mathbf {n}_{text {sp}}) is a Gaussian mixture random vector.

In other words, if we denote by S i the random variable associated to the source s i t then we need to analyze the behavior of the mixture random variable X defined as: X = α 1 S 1 + α 2 S 2 + ⋯ + α n S n. (6).

(mathbf {mathbf {z}_{mathcal {J}}}) is a Gaussian mixture random vector with probability density function (pdf) f_{mathbf{z}_{mathcal{J}}}(bar{z}) = sumlimits_{bar{d}in mathcal{M}^{|mathcal{J}|NM}}p(mathbf{d}_{mathcal{J}}=bar{d} cdot f_{mathbf{z}_{mathcal{J}}|mathbf{d}_{mathcal{J}}}(bar{z}|bar{d}), (9).

Under assumptions 4, 5, and under the asymptotic regime defined as K N → c 1, 0 < c 1 < 1 with M K → c 2 > 1, the post-processing noise experienced by the i th antenna at each time k behaves asymptotically as a Gaussian mixture random variable, i.e., E exp ȷ ℜ z ∗ Δ W d i, k − ∑ i = 1 Q p i exp ȷ ℜ z ∗ α i × exp − | z | 2 δ d σ w d 2 H H H − 1 i, i 4 → K → ∞ 0, (10).

Total RNA (2 μg) from each sample was mixed with MultiScribe™ Reverse Transcriptase, RNase Inhibitor, dNTP Mixture, random hexamers, RT buffer, MgCl2 solution and incubated at 25°C for 10 min, 48°C for 30 min and 95°C for 5 min to reverse transcribe to cDNA using TaqMan reagent kit (Applied Biosystems, Carlsbad, CA).

Errors in cell concentration estimates were simulated for each measure of the target cell type in the mixtures (random over and underestimations) from 2%to75%5% of the actual cell concentration for two of the cell lines, K562 and Ly18.

The second was designed to allow the consideration of medium scale patterns and used a mixture of random and stratified random sampling (by land-use zone) in one sub-area.

In a mixture of random effects models, the marginal log-likelihood after integrating out the random effects would be considered.

He dressed in an Oslo taxi uniform, got his identity card and picked up a mixture of random and selected passengers, none of whom knew what was coming.

This mixture of random justice and predestination gives to Naipaul's fiction – in lieu of straightforward linearity – a tantalising, slightly alarming, circular musicality, a kind of pass-the-parcel sequence of shifting the weight from one person, one centre, to another.