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Moments over short intervals
 Arch. Math
"... Abstract. An asymptotic result for the kth moment (k ≤ 9) of the error term in the Dirichlet divisor problem over short intervals is obtained, which improves on an earlier result of Nowak. ..."
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Abstract. An asymptotic result for the kth moment (k ≤ 9) of the error term in the Dirichlet divisor problem over short intervals is obtained, which improves on an earlier result of Nowak.
Does kth Moment Exist?
"... Most asymptotic distribution theory used in econometric research relies on moment conditions which carefully control outlier occurrences. It is not unusual in time series analysis to see conditions of the type let all required moments exist. However, in financial and commodity market time series th ..."
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Most asymptotic distribution theory used in econometric research relies on moment conditions which carefully control outlier occurrences. It is not unusual in time series analysis to see conditions of the type let all required moments exist. However, in financial and commodity market time series
UPPER BOUNDS FOR THE MOMENTS OF ζ ′ (ρ)
, 806
"... Abstract. Assuming the Riemann Hypothesis, we obtain an upper bound for the 2kth moment of the derivative of the Riemann zetafunction averaged over the nontrivial zeros of ζ(s) for every positive integer k. Our bounds are nearly as sharp as the conjectured asymptotic formulae for these moments. ..."
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Cited by 8 (4 self)
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Abstract. Assuming the Riemann Hypothesis, we obtain an upper bound for the 2kth moment of the derivative of the Riemann zetafunction averaged over the nontrivial zeros of ζ(s) for every positive integer k. Our bounds are nearly as sharp as the conjectured asymptotic formulae for these moments.
Kth Upper Record Values and their Moments
"... In this paper we give some new recurrence relations satisfied by single and product moments of the Kth upper record values from uniform and lomax distributions. ..."
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Cited by 1 (0 self)
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In this paper we give some new recurrence relations satisfied by single and product moments of the Kth upper record values from uniform and lomax distributions.
Moments of Graphs in Monotone Families
, 2005
"... The kth moment of the degree sequence d1 d2 ...dn of a graph G is k (G) 1n P dki. We give asymptotically sharp bounds for k (G) when G is in a monotone family. We use these results for the case k 2 to improve a result of Pach, Spencer, and Tóth [15]. We answer a question of Erdős [9] by dete ..."
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The kth moment of the degree sequence d1 d2 ...dn of a graph G is k (G) 1n P dki. We give asymptotically sharp bounds for k (G) when G is in a monotone family. We use these results for the case k 2 to improve a result of Pach, Spencer, and Tóth [15]. We answer a question of Erdős [9
doi:10.1112/blms/bdp096 Upper bounds for moments of ζ ′(ρ)
"... B. Milinovich Assuming the Riemann hypothesis, we obtain an upper bound for the 2kth moment of the derivative of the Riemann zetafunction averaged over the nontrivial zeros of ζ(s) for every positive integer k. Our bounds are nearly as sharp as the conjectured asymptotic formulae for these moments ..."
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B. Milinovich Assuming the Riemann hypothesis, we obtain an upper bound for the 2kth moment of the derivative of the Riemann zetafunction averaged over the nontrivial zeros of ζ(s) for every positive integer k. Our bounds are nearly as sharp as the conjectured asymptotic formulae
doi:10.1112/blms/bdp096 Upper bounds for moments of ζ ′(ρ)
"... B. Milinovich Assuming the Riemann hypothesis, we obtain an upper bound for the 2kth moment of the derivative of the Riemann zetafunction averaged over the nontrivial zeros of ζ(s) for every positive integer k. Our bounds are nearly as sharp as the conjectured asymptotic formulae for these moments ..."
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B. Milinovich Assuming the Riemann hypothesis, we obtain an upper bound for the 2kth moment of the derivative of the Riemann zetafunction averaged over the nontrivial zeros of ζ(s) for every positive integer k. Our bounds are nearly as sharp as the conjectured asymptotic formulae
Optimal space lower bounds for all frequency moments
 IN SODA
, 2004
"... We prove that any onepass streaming algorithm which (ffl, ffi)approximates the kth frequency moment Fk, for any real k 6 = 1 and any ffl = \Omega i 1pm j, must use \Omega \Gamma 1ffl2 \Delta bits of space, where m is the size of the universe. This is optimal in terms of ffl, resolves the open qu ..."
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Cited by 78 (13 self)
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We prove that any onepass streaming algorithm which (ffl, ffi)approximates the kth frequency moment Fk, for any real k 6 = 1 and any ffl = \Omega i 1pm j, must use \Omega \Gamma 1ffl2 \Delta bits of space, where m is the size of the universe. This is optimal in terms of ffl, resolves the open
FIRST ORDER kTH MOMENT FINITE ELEMENT ANALYSIS OF NONLINEAR OPERATOR EQUATIONS WITH STOCHASTIC DATA
"... First order kth moment finite element analysis of nonlinear operator equations with stochastic data ABCDEFB ..."
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Cited by 2 (1 self)
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First order kth moment finite element analysis of nonlinear operator equations with stochastic data ABCDEFB
doi:10.1093/imrn/rnt028 Lower Bounds for Moments of ζ ′(ρ)
"... Assuming the generalized Riemann Hypothesis for Dirichlet Lfunctions, we establish lower bounds of the conjectured order of magnitude for the 2kth moment of the derivative of the Riemann zetafunction averaged over the nontrivial zeros of ζ(s) for every positive integer k. Our proof is based upon ..."
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Assuming the generalized Riemann Hypothesis for Dirichlet Lfunctions, we establish lower bounds of the conjectured order of magnitude for the 2kth moment of the derivative of the Riemann zetafunction averaged over the nontrivial zeros of ζ(s) for every positive integer k. Our proof is based upon
Results 1  10
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