Sentence examples for differences between the empirical from inspiring English sources

However, the empirical distribution function test gives equal weight to the differences between the empirical and theoretical distribution functions corresponding to all observations.

For each test, the sensitivity of the model is expressed as the relative differences between the empirical distribution of the peak flows (and runoff volumes), calculated according to the two patterns of rainfall input: uniform or non-uniform.

The absence of significant differences between the empirical and the simulated distributions indicates that the model faithfully reproduces reality.

For each spectrum, the mass differences between the empirical and theoretical mass of all known unmodified peptides were calculated.

First, a Monte Carlo simulation test was used to analyze differences between the empirical and simulated final data for each cluster group.

In order to analyze whether the observations from the three populations stem from the same probability distribution, we investigated whether there are significant differences between the empirical distributions for each population for every MSR separately.

Then E Xk) = r/(r + b), and the last equation says that the probability that "the difference between the empirical proportion of red balls in n draws and the probability of red on a single draw is less than ε" converges to 1 as n becomes infinitely large.

In this paper, to test goodness of fit to any fixed distribution of errors in multivariate linear models, we consider a weighted integral of the squared modulus of the difference between the empirical characteristic function of the residuals and the characteristic function under the null hypothesis.

Figure 6 shows the probability, where the value is the complementary probability, 1 –p, if the difference between the empirical cumulative distribution function of the small local sample minus that of the large regional sample is positive.

The probability is substituted for its complementary probability if the difference between the empirical cumulative distribution function of the local sample minus that of the regional sample is positive.

Moreover, because the matching degree between empirical probability density function p(ξ|H 0) and the fitting normal distribution becomes higher when integration pulse number N increases, the difference between the empirical P fa and nominal P fa becomes smaller when N becomes larger.