Sentence examples for bound for the density from inspiring English sources
In order to obtain a lower bound for the density, the known results do not apply.
We obtain a lower bound for the density of a d-dimensional random variable on the Wiener space under exponential moment condition of the divergence of covering vector fields.
In obtaining the lower bound for the density we were not able to use the method proposed in [21], p.50 which is used in [20], p.203, for the one-dimensional model, so we adapted here the idea from [22], Lemma 3.6, p.348.
We also obtain an upper bound for the density, which again leads to an unusual estimate due to the bad behavior of the coefficients.
In this manner the equilibrium blinking fraction sets an upper bound for the density of fluorophores which may be present on the sample before blinking interferes with STORM data acquisition.
In this paper we are interested in deriving the asymptotic normality as well as a Berry-Esseen type bound for the kernel density estimator of left truncated and weakly dependent data.
For the rotating nonmagnetic stationary solutions, Auchmuty and Beals [1] gave a priori bound for the maximum of the density ρ.
In Section 2, we derive some uniform estimates for the proof of the main Theorem 1.1, which do not depend on the lower bound of the density.
Moreover, by comparing the experimentally measured and simulated pause densities using different kb1 values, we can set a lower bound for the mutant's kb1 to be 2.8 s−1.
The simplest upper bound for the false acceptance and the false rejection rates can be expressed using the Bhattacharyya distance [13] between the probability density functions and.
