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UNIFORM ASYMPTOTIC NORMALITY FOR THE BERNOULLI SCHEME
, 2006
"... Uniform asymptotic normality for the Bernoulli scheme Published as manuscript ..."
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Uniform asymptotic normality for the Bernoulli scheme Published as manuscript
On Asymptotic Normality Of The Hill Estimator
, 1998
"... . For iid observations X 1 ; : : : ; Xn from a common distribution F with regularly varying tail 1 \Gamma F (x) ¸ x \Gammaff L(x); x !1, the most popular estimator of ff is the Hill estimator. Regular variation of the distribution tail is equivalent to weak consistency of the Hill estimator in a ..."
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Cited by 9 (0 self)
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manner made precise in Mason (1983) but necessary and sufficient conditions for asymptotic normality of this estimator are still somewhat shrouded in confusion. This is in part due to the different possibilities for a centering in the asymptotic normality statement. We clarify the roles played
Subsampling and Asymptotic Normality for a . . .
, 1992
"... Let {X_i: i ∈ Z²} be a strictly stationary random field indexed by the twodimensional integer lattice. We observe X/s in a finite ordered set Be Z², with cardinality IBI, and compute a statistic t(B) = = TB(Xj:i£B) from the observed data. The main question addressed here is: Under what conditions o ..."
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on the statistic t and the set B will t(B) be asymptotically normal as IBIoo? Section II is a survey of results on asymptotic normality for the sample mean and for a general statistic t (.). In section III necessary and sufficient conditions are given for the joint asymptotic normality of t with it
ASYMPTOTIC NORMALITY OF THE LkERROR OF THE
"... We investigate the limit behavior of the Lkdistance between a decreasing density f and its nonparametric maximum likelihood estimator f̂n for k ≥ 1. Due to the inconsistency of f̂n at zero, the case k = 2.5 turns out to be a kind of transition point. We extend asymptotic normality of the L1distan ..."
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We investigate the limit behavior of the Lkdistance between a decreasing density f and its nonparametric maximum likelihood estimator f̂n for k ≥ 1. Due to the inconsistency of f̂n at zero, the case k = 2.5 turns out to be a kind of transition point. We extend asymptotic normality of the L1
Local asymptotic normality for finite . . .
, 2008
"... The previous results on local asymptotic normality (LAN) for qubits [20, 17] are extended to quantum systems of arbitrary finite dimension d. LAN means that the quantum statistical model consisting of n identically prepared ddimensional systems with joint state ρ⊗n converges as n → ∞ to a statisti ..."
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The previous results on local asymptotic normality (LAN) for qubits [20, 17] are extended to quantum systems of arbitrary finite dimension d. LAN means that the quantum statistical model consisting of n identically prepared ddimensional systems with joint state ρ⊗n converges as n → ∞ to a
Asymptotic normality of scaling functions
 SIAM J. MATH. ANAL
"... Abstract. The Gaussian function G(x) = 1 p 2¼ e ¡x 2 =2 ; which has been a classical choice for multiscale representation, is the solution of the scaling equation with scale ® > 1 and absolutely continuous measure It is known that the sequence of normalized Bsplines (B n ); where B n is the sol ..."
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Cited by 8 (4 self)
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Abstract. The Gaussian function G(x) = 1 p 2¼ e ¡x 2 =2 ; which has been a classical choice for multiscale representation, is the solution of the scaling equation with scale ® > 1 and absolutely continuous measure It is known that the sequence of normalized Bsplines (B n ); where B n
Asymptotically Normal Vectors by
, 2007
"... Abstract We obtain the Edgeworth expansion for P(n 1/2 ( ˆ θ − θ) < x) and its derivatives, and the tilted Edgeworth (or saddlepoint or small sample) expansion for P ( ˆ θ < x) and its derivatives where ˆθ is any vector estimate having the standard cumulant expansions in powers of n −1. ..."
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Abstract We obtain the Edgeworth expansion for P(n 1/2 ( ˆ θ − θ) < x) and its derivatives, and the tilted Edgeworth (or saddlepoint or small sample) expansion for P ( ˆ θ < x) and its derivatives where ˆθ is any vector estimate having the standard cumulant expansions in powers of n −1.
Deducing the asymptotic normalization constant
, 2004
"... of the 2 + subthreshold state in 16 O from 12 C + α elastic scattering ..."
Results 1  10
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