Sentence examples for concerning complete from inspiring English sources

The aim of this paper is to obtain some results concerning complete convergence of weighted sums ∑ i ≤ n a n, i X i. MSC 60F05, 60F15.

For the results concerning complete convergence for martingale arrays obtained in the one-dimensional case, we refer to Lagodowski and Rychlik [10], Elton [11], Lesigne and Volny [12], Stoica [13] and Ghosal and Chandra [14].

The first results concerning complete convergence for normed sums of random variables were due to Hsu and Robbins (1947) [14] and Erdös (1949) [15], and the obtained results have been extended in several directions by many authors.

The aim of this paper is to obtain some results concerning complete convergence of weighted sums ∑ i ≤ n a n, i X i, where { a n, i, n ∈ Z + d, i ≤ n } is an array of real numbers, and { X i, i ∈ Z + d } is the martingale differences with respect to { G n, n ∈ Z + d } satisfying (1.1).

Phylogenetic relationships concerning complete NS5A sequences obtained from patients did not demonstrate clustering associated with specific response patterns.

The subjects were screened according to fasting blood glucose level ⩽1.1 g/l, normal renal function and no clinically significant abnormality concerning complete blood count, and liver enzymes.

The first question was used to differentiate non-exposed from missing cases, and all women and men who answered yes to both the first and the second question were coded as exposed to DV. Information was obtained from the education register at Statistics Sweden, concerning completed education (primary school/secondary school/university).

Due to the nature of the interventions concerned, complete blinding of investigators and professionals working in the PCHCs would be impossible.

Iterating over S ∈ V permits inference concerning the complete reaction graph G. CheMA 1.0 uses truncated normal priors N T with parameters μ, Σ inherited from the corresponding untruncated distribution.

To avoid undue repetition in the statements, we give the final theorem without proof concerning the complete metric space ℓ p ( N ).

We would like to mention that Qi et al. obtained many important achievements concerning the complete (logarithmic) monotonicity of the ratios of gamma and polygamma functions from 2004 on, such as [10, 19 22].