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Limit Theorems for Mergesort
 Random Structures Algorithms
, 1996
"... Central and local limit theorems (including large deviations) are established for the number of comparisons used by the standard topdown recursive mergesort under the uniform permutation model. The method of proof utilizes Dirichlet series, Mellin transforms and standard analytic methods in probabi ..."
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Cited by 2 (0 self)
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Central and local limit theorems (including large deviations) are established for the number of comparisons used by the standard topdown recursive mergesort under the uniform permutation model. The method of proof utilizes Dirichlet series, Mellin transforms and standard analytic methods
Elementary limit theorems in probability
, 2008
"... What follows is a collection of various limit theorems that occur in probability. Most are taken from a short list of references. Such theorems are stated without proof and a citation follows the name of the theorem. A few are not taken from references. They are usually straightforward generalizatio ..."
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What follows is a collection of various limit theorems that occur in probability. Most are taken from a short list of references. Such theorems are stated without proof and a citation follows the name of the theorem. A few are not taken from references. They are usually straightforward
Central Limit Theorem
, 2009
"... 13288 Marseille Cedex 9, France Limit theorems, including the large deviation principle, are established for random point processes (fields), which describe the position distributions of the perfect boson gas in the regime of the BoseEinstein condensation. We compare these ..."
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13288 Marseille Cedex 9, France Limit theorems, including the large deviation principle, are established for random point processes (fields), which describe the position distributions of the perfect boson gas in the regime of the BoseEinstein condensation. We compare these
Central Limit Theorems and Proofs
"... The following gives a selfcontained treatment of the central limit theorem (CLT). It is based on Lindeberg’s (1922) method. To state the CLT which we shall prove, we introduce the following notation. We assume that Xn1,..., Xnn are independent random variables with means 0 and respective variances ..."
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The following gives a selfcontained treatment of the central limit theorem (CLT). It is based on Lindeberg’s (1922) method. To state the CLT which we shall prove, we introduce the following notation. We assume that Xn1,..., Xnn are independent random variables with means 0 and respective variances
A Fluctuation Limit Theorem . . .
, 2009
"... We prove a general fluctuation limit theorem for GaltonWatson branching processes with immigration. The limit is a timeinhomogeneous OU type process driven by a spectrally positive Lévy process. As applications of this result, we obtain some asymptotic estimates for the conditional least squares e ..."
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We prove a general fluctuation limit theorem for GaltonWatson branching processes with immigration. The limit is a timeinhomogeneous OU type process driven by a spectrally positive Lévy process. As applications of this result, we obtain some asymptotic estimates for the conditional least squares
First Limit Theorem:
"... Two limit theorems (how does Chernoff’s distribution f appear?) Graphical evidence for logconcavity of f Chernoff and Groeneboom’s formula Chernoff’s density f is a P F2 density; i.e. logconcave Is Chernoff’s density f “Strongly logconcave”? Relations with other classes: P F ∞ and HM∞? Summary; c ..."
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Two limit theorems (how does Chernoff’s distribution f appear?) Graphical evidence for logconcavity of f Chernoff and Groeneboom’s formula Chernoff’s density f is a P F2 density; i.e. logconcave Is Chernoff’s density f “Strongly logconcave”? Relations with other classes: P F ∞ and HM∞? Summary
Limit theorems for partially hyperbolic systems
 Trans. Amer. Math. Soc
"... Abstract. We consider a large class of partially hyperbolic systems containing, among others, ane maps, frame
ows on negatively curved manifolds and mostly contracting dieomorphisms. If the rate of mixing is suciently high the system satises many classical limit theorems of probability theory. 1. ..."
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Cited by 82 (14 self)
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Abstract. We consider a large class of partially hyperbolic systems containing, among others, ane maps, frame
ows on negatively curved manifolds and mostly contracting dieomorphisms. If the rate of mixing is suciently high the system satises many classical limit theorems of probability theory. 1
Szegő limit theorems
 Geom. Funct. Anal
"... Abstract. The first Szegő limit theorem has been extended by BumpDiaconis and TracyWidom to limits of other minors of Toeplitz matrices. We extend their results still further to allow more general measures and more general determinants. We also give a new extension to higher dimensions, which exte ..."
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Cited by 3 (1 self)
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Abstract. The first Szegő limit theorem has been extended by BumpDiaconis and TracyWidom to limits of other minors of Toeplitz matrices. We extend their results still further to allow more general measures and more general determinants. We also give a new extension to higher dimensions, which
Bootstrap with . . . Central Limit Theorems.
, 1990
"... We consider "bootstrap" estimators of the distribution of the empirical process, indexed by a class offunctions F, that emerge by weighting the data by multipliers ~ / 2:]=1 Yj, for iid positive random variables, Yll Y2, ••• • Assuming that the ~'s satisfy the L2,1 integrability condi ..."
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condition fo oo Jp(IY11> t) dt < 00, we prove that FE CLT(P) and PF2: = P(suPfEFlf(x)1)2 < 00, is necessary and sufficient for the bootstrap central limit theorem to hold, almost surely, and F E CLT(P) for it to hold "in probability". These results parallel those of Cine and Zinn (1990
The Bosonic Central Limit Theorem
, 2002
"... The aim of this article is to give an overview on recent progress of the central limit theorem for mixing quantum spin chains. The limit theorem we discuss here is described in the language of operator algebras. $(\mathrm{c}.\mathrm{f} $. [4], [5] $) $ We consider the following one dimensional quant ..."
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The aim of this article is to give an overview on recent progress of the central limit theorem for mixing quantum spin chains. The limit theorem we discuss here is described in the language of operator algebras. $(\mathrm{c}.\mathrm{f} $. [4], [5] $) $ We consider the following one dimensional
Results 11  20
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