Asymptotic Distribution of Certain Types of Entropy under the Multinomial Law
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DOI: 10.3390/e25050734
Abstract: Simple Summary We obtain expressions for the asymptotic distributions of the Rényi and Tsallis of order q entropies, and Fisher information when computed on the maximum likelihood estimator of probabilities from multinomial random samples. We… read more here.
Keywords: multinomial law; asymptotic distribution; types entropy; entropy multinomial ... See more keywords
On Value Distribution of Certain Beurling Zeta-Functions
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DOI: 10.3390/math12030459
Abstract: In this paper, the approximation of analytic functions by shifts ζP(s+iτ) of Beurling zeta-functions ζP(s) of certain systems P of generalized prime numbers is discussed. It is required that the system of generalized integers NP generated by P satisfies ∑m⩽x,m∈N1=ax+O(xδ), a>0, 0⩽δ read more here.
Keywords: certain beurling; distribution certain; value distribution; beurling zeta ... See more keywords