Sentence examples for using the empirical distributions from inspiring English sources

Building on a theory of invariance in hierarchical architectures, we propose a novel, mid-level representation for acoustical signals, using the empirical distributions of projections on a set of templates and their transformations.

Using the empirical distributions of the characteristics of the individual events parameters, it is shown that arbitrary long durations of the swell climate may be reconstructed preserving the main observed statistical properties.

Similarly, we obtained two-sided p-values for the ratio differences by doubling the tail probability corresponding to where the empirical distribution crossed 0. We took advantage of the same bootstrap simulations to validate the p-values from ANOVA using the empirical distributions of the differences in group means (analogous to t-tests).

For each gene, adjusted p-value was computed by performing a two-tailed test using the empirical distributions.

Our preliminary assembler, Telescoper, proceeds by iteratively extending paths and selecting between them using the empirical distributions formed by both long-insert and short-insert paired-end reads.

Figure 3 checks the residuals are NSD by using the empirical distribution to approximate the distribution function, which supports the NSD errors assumption.

Given a set of training data, the ratio in (1) can simply be estimated using the empirical distribution of patches, as done in [6].

In this approach, the parameters of the copula were directly estimated using the empirical distribution (e.g., empirical distribution using the Weibull plotting position formula) which is listed in Table 4.

This defines a new histogram for the number of moves ((Y_t=2)) with the container gross weight (Z_t) and then we sample the (Z_t) value from it by using the empirical distribution function as described by (9) and (10) in Section 2.3.

The exogenous variables of the forecast models (container gross weight and number of crane moves) are obtained using the empirical distribution with a joint probability model to estimate both the exogenous variables ((Z_t, Y_t)) and conditional probability to estimate one of the variables in condition the other variable is given for (t+n) ((n = 1,2,ldots,24)), as described in Section 2.3.

Higher PCCs were observed for most transcription factors in both cancer conditions, with the exception of E2F4 in prognosis and treatment response (P values obtained using the empirical distribution of random PCCs (empirical P values) were of 0.16 and 0.11, respectively).