[PDF] Top 20 Convergence determining classes in the central limit theorem
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Convergence determining classes in the central limit theorem
... The next section is devoted to a study of the set of all qD doublets, using Theorem 4.2.2. We do not pay much attention to sets X with more than two elements. However. Theorem 4.2.2(a) presents a quadruplet ... See full document
165
Central limit theorems for the spectra of classes of random fractals
... of convergence in a related renewal theorem and depends on the values of the roots of P (θ) = 0, which we solve numerically (we can also solve this equation analytically for small values of ... See full document
42
The central limit theorem for the Smoluchovski coagulation model
... the convergence of semigroups as an intermediate step before embarking on the probabilistic analysis of the distribution of fluctuations in the appropriate Hilbert space extensions of the space of Borel ...the ... See full document
55
KERNEL REGRESSION FOR RHO-MIXING OBSERVATIONS
... the central limit theorem, Bryc and Smolenski (1993) for moment inequalities and almost sure convergence, Peligrad and Gut (1999) for almost sure results for a class of dependent random ... See full document
9
Moderate deviations and central limit theorem for positive diffusions
... Like the large deviations, the moderate deviation problems arise in the theory of statisti- cal inference quite naturally. The estimates of moderate deviations can provide us with the rate of convergence and a ... See full document
10
Illustrating the Central Limit Theorem Through Microsoft Excel Simulations
... The dynamic frequency distribution and histogram capability is accomplished through the use of the FREQUENCY function in Excel. The general format for this function is FREQUENCY(data_array, bins_array). The data range ... See full document
12
A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences
... 2. Cheng, SH, Peng, L, Qi, YC: Almost sure convergence in extreme value theory. Math. Nachr. 190(1), 43-50 (1998) 3. Fahrner, I, Stadtmüller, U: On almost sure max-limit theorems. Stat. Probab. Lett. 37(3), ... See full document
15
A Note on the Almost Sure Central Limit Theorem for Partial Sums of ρ− Mixing Sequences
... Their limit properties have received more and more attention recently, and a number of results have been obtained, such as Zhang and Wang [1] for Rosenthal-type moment inequality and Marcinkiewicz-Zygmund law of ... See full document
7
Complete moment convergence for moving average process generated by \(\rho^{ }\) mixing random variables
... the convergence of moving aver- age processes, Burton and Dehling [] have obtained a large deviation principle, Ibragimov [] has established the central limit theorem, Račkauskas and Suquet ... See full document
13
Rate of escape and central limit theorem for the supercritical Lamperti problem
... of Theorem 2.4, there is a central limit the- orem to accompany the law of large ...a central limit theorem, provided that we impose a somewhat stronger version of ...denotes ... See full document
22
Almost Sure Central Limit Theorem for a Nonstationary Gaussian Sequence
... almost surely for all x ∈ R, where IA is the indicator function of the event A and Φx stands for the standard normal distribution function. This result was first proved independently by Brosamler 1 and Schatte 2 under a ... See full document
10
A note on the convergence of renewal and regenerative processes to a Brownian bridge
... The standard functional central limit theorem for a renewal process with finite mean and variance, results in a Brownian motion limit. This note shows how to obtain a Brow- nian bridge process ... See full document
7
An almost sure central limit theorem of products of partial sums for ρ mixing sequences
... their limit properties have aroused wide interest recently, and a lot of results have been obtained, such as the weak convergence theorems, the central limit theorems of random fields, ... See full document
13
Convergence to a self-normalized G-Brownian motion
... functional central limit theorem for independent and identically distributed random variables under the sub-linear expectation with the limit process being a G-Brownian motion self-normalized ... See full document
25
Moment Inequality for Mixing Sequences and Its Applications
... for central limit theorem, Herrndorf 4 and Peligrad 5 for weak invariance principle, Sen 6, 7 for weak convergence of empirical processes, Iosifescu 8 for limit theorem, Peligrad ... See full document
12
Asymptotic properties of approximate Bayesian computation
... a central limit theorem for the summary statistic and further regularity assump- tions on the convergence of the density of the summary statistics to this normal limit, including the ... See full document
32
A generalization of the global limit theorems of R P Agnew
... convergence, complete convergence, almost everywhere convergence, uniform convergence, sums of independent random variables, central limit theorem, Liapounov condition... 1980 AMS SUBJEC[r] ... See full document
10
Central limit theorems and suppression of anomalous diffusion for systems with symmetry
... When studying statistical properties of dynamical systems, there are standard techniques for passing between continuous and discrete time (see for example [15, 22, 23]). In particular, it follows from [23] that results ... See full document
24
A central limit theorem for the KPZ equation
... of order ε − 1/2 from what it would be if ζ were replaced by a centred Gaussian field with the same covariance. This difference depends to leading order on the third cumulants of ζ and to order 1 on its fourth cumulants. ... See full document
56
Some topics in homogenization
... any limit point of the fam- ily of probability measure as one particular probability measure for all conver- gent ...Prohorov’s theorem, tightness is equivalent to weak relative compactness, ...the ... See full document
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