منابع مشابه
Moments for Primes in Arithmetic Progressions, I
The second moment ∑ q≤Q q ∑ a=1 ( ψ(x; q, a)− ρ(x; q, a) )2 is investigated with the novel approximation ρ(x; q, a) = ∑ n≤x n≡a (mod q) FR(n),
متن کاملMoments for Primes in Arithmetic Progressions, Ii
The third moment ∑ q≤Q q ∑ a=1 ( ψ(x; q, a)− ρ(x; q, a) )3 is investigated with the novel approximation ρ(x; q, a) = ∑ n≤x n≡a (mod q) FR(n),
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The definition and a number of inequalities for a standard DE were illustrated in [9, 3, 7]. Furthermore, in [1, 6] the initial definition and results on weighted entropy was introduced. Following [10, 5, 8, 11], recently in [4, 2, 13, 14, 15], a similar method with standard DE drives to emerge certain properties and applications of information-theoretical weighted entropies with a number of de...
متن کاملR Functions to Symbolically Compute the Central and Non-central Moments of the Multivariate Normal Distribution
The central moments of the multivariate normal distribution are functions of its n×n variance-covariance matrix Σ. These moments can be expressed symbolically as linear combinations of products of powers of the elements of Σ. A formula for these moments derived by differentiating the characteristic function is developed. The formula requires searching integer matrices for matrices whose n succe...
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Higher central moments are very useful in statistical analysis: the third moment M3 characterizes asymmetry of the corresponding probability distribution, the fourth moment M4 describes the size of the distribution’s tails, etc. When we know the exact values x1, . . . , xn, we can use the known formulas for computing the corresponding sample central moments. In many practical situations, howeve...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1978
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1978.77.307