We present a detailed analysis of resonance contributions in the context of higher twist effects in the moments of the proton spin structure function g1. For each of these moments, it is found that there exists a characteristic Q2 region in which (perturbative) higher twist corrections coexist with (non-perturbative) resonance contribution of comparable magnitude. PACS: 12.38.Cy, 13.60.Hb, 13.8...

Order statistics arising from exponentiated gamma (EG) distribution are considered. Closed from expressions for the single and double moments of order statistics are derived. Measures of skewness and kurtosis of the probability density function of the rth order statistic for different choices of r, n and /theta are presented. Recurrence relations between single and double moments of r...

We define a new probability measure with two parameters on the n-dimensional torus. A q-analogue of Dyson’s circular ensembles is seen to be a special case of the new measure. The moments of the characteristic polynomial with respect to the measure are calculated via Macdonald function theory. Furthermore, explicit expressions for the asymptotic behavior of the moments in the limit as n → ∞ are...

Fractional moments have been investigated by many authors to represent the density of univariate and bivariate random variables in different contexts. Fractional moments are indeed important when the density of the random variable has inverse power-law tails and, consequently, it lacks integer order moments. In this paper, starting from the Mellin transform of the characteristic function and by...

In this paper, we propose and study exp-kumaraswamy distribution. Some of its properties  are derived, including the density function, hazard rate function, quantile function, moments,  skewness  and kurtosis.   Adata set isused to illustrate an application of the proposed distribution. Also, we obtain a new distribution by transformation onexp-kumaraswamy distribution.   New distribution is an...

We consider the problem of estimating the first moment of a data stream defined as F1 = ∑ i∈{1,2,...,n}∣fi∣ to within 1± -relative error with high probability. Several algorithms are wellknown for this problem including the median estimator over p-stable sketches by Indyk [11], the geometric means estimator over p-stable sketches by Li [13] and the Hss sketch based algorithm in [8]. The current...

On the hypothesis that the 2k th moments of the Hardy Z-function are correctly predicted by random matrix theory and the moments of the derivative of Z are correctly predicted by the derivative of the characteristic polynomials of unitary matrices, we establish new large spaces between the zeros of the Riemann zeta-function by employing some Wirtinger-type inequalities. In particular, it is obt...

We use a smoothed version of the explicit formula to find an accurate pointwise approximation to the Riemann zeta function as a product over its nontrivial zeros multiplied by a product over the primes. We model the first product by characteristic polynomials of random matrices. This provides a statistical model of the zeta function which involves the primes in a natural way. We then employ the...