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Limit Theorem
"... Heeding the call of previous researchers (delMas, Garfield, and Chance 1999a), we used a classroom research model to investigate students ’ understanding ..."
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Heeding the call of previous researchers (delMas, Garfield, and Chance 1999a), we used a classroom research model to investigate students ’ understanding
The fundamental limit theorems in probability
 Electron. J. Combin
, 1945
"... the mathematical content and meaning of the two most important limit theorems in the modern theory of probability: the central limit theorem 1 and the recently discovered precise form of what was generally ..."
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Cited by 23 (0 self)
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the mathematical content and meaning of the two most important limit theorems in the modern theory of probability: the central limit theorem 1 and the recently discovered precise form of what was generally
Limit theorems for the longest run
, 2009
"... Limit theorems for the longest run in a coin tossing experiment are obtained. ..."
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Cited by 1 (0 self)
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Limit theorems for the longest run in a coin tossing experiment are obtained.
CENTRAL LIMIT THEOREM FOR DETERMINISTIC SYSTEMS
, 1996
"... A unified approach to obtaining the central limit theorem for hyperbolic dynamical systems is presented. It builds on previous results for one dimensional maps but it applies to the multidimensional case as well. ..."
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Cited by 77 (4 self)
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A unified approach to obtaining the central limit theorem for hyperbolic dynamical systems is presented. It builds on previous results for one dimensional maps but it applies to the multidimensional case as well.
LIMIT THEOREMS FOR THE HIERARCHY OF FREENESS
, 2001
"... The central limit theorem, the invariance principle and the Poisson limit theorem for the hierarchy of freeness are studied. We show that for given m ∈ IN the limit laws can be expressed in terms of noncrossing partitions of depth smaller or equal to m. For A = IC[x], we solve the associated moment ..."
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Cited by 1 (1 self)
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The central limit theorem, the invariance principle and the Poisson limit theorem for the hierarchy of freeness are studied. We show that for given m ∈ IN the limit laws can be expressed in terms of noncrossing partitions of depth smaller or equal to m. For A = IC[x], we solve the associated
Limit Theorems for HeavyTailed . . .
"... We examine random fields defined by a linear filter of heavytailed input random variables, and establish limit theorems for the sample mean and sample variance, as well as for their joint laws; in addition we establish limit theorems for the “heavytailed linear periodogram.” Lastly, a discussion o ..."
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We examine random fields defined by a linear filter of heavytailed input random variables, and establish limit theorems for the sample mean and sample variance, as well as for their joint laws; in addition we establish limit theorems for the “heavytailed linear periodogram.” Lastly, a discussion
CENTRAL LIMIT THEOREM ON HYPERGROUPS
"... Abstract. On the basis of Heyer and Zeuner’s results we will treat the central limit theorem for probability measures on hypergroup. The purpose of this article is to verify a central limit theorem for random variables which take their values in a hypergroup. However the special case that G is the o ..."
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Abstract. On the basis of Heyer and Zeuner’s results we will treat the central limit theorem for probability measures on hypergroup. The purpose of this article is to verify a central limit theorem for random variables which take their values in a hypergroup. However the special case that G
Prelimit theorems and their applications
 Acta Applicandae Mathematicae, 2001. –No
"... Abstract. There exists a considerable debate in the literature about the applicability of αstable distributions as they appear in Lévy's central limit theorems. A serious drawback of Lévy's approach is that, in practice, one can never know whether the underlying distribution is heavy tai ..."
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Abstract. There exists a considerable debate in the literature about the applicability of αstable distributions as they appear in Lévy's central limit theorems. A serious drawback of Lévy's approach is that, in practice, one can never know whether the underlying distribution is heavy
LIMIT THEOREMS FOR SKEW TRANSLATIONS
"... Abstract. Bufetov, BufetovForni and BufetovSolomyak have recently proved limit theorems for translation flows, horocycle flows and tiling flows, respectively. We present here analogous results for skew translations of a torus. §1. Bufetov [1] has recently established limit theorems for translation ..."
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Abstract. Bufetov, BufetovForni and BufetovSolomyak have recently proved limit theorems for translation flows, horocycle flows and tiling flows, respectively. We present here analogous results for skew translations of a torus. §1. Bufetov [1] has recently established limit theorems
Results 1  10
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7,882