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The law of the iterated logarithm for exchangeable random variables

The law of the iterated logarithm for exchangeable random variables

... A similar example can be constructed to show that under certain conditions the LIL holds for martingales but fails for exchangeable r.v.’s and vice versa.. Thus, conditions for the LIL t[r] ... See full document

6

Iterated Logarithm Laws on GLM Randomly Censored with Random Regressors and Incomplete Information

Iterated Logarithm Laws on GLM Randomly Censored with Random Regressors and Incomplete Information

... and random censorship under the case that the regressors are ...a law of iterated logarithm and a Chung type law of iterated logarithm for the maximum li- kelihood ... See full document

6

Precise Asymptotics in the Law of Iterated Logarithm for Moving Average Process under Dependence

Precise Asymptotics in the Law of Iterated Logarithm for Moving Average Process under Dependence

... Yang, “The law of the iterated logarithm and the central limit theorem with random indices for B-valued stationary linear processes,” Chinese Annals of Mathematics Series A, vol.. Wang, [r] ... See full document

17

Chover-type laws of the k-iterated logarithm for weighted sums of strongly mixing sequences

Chover-type laws of the k-iterated logarithm for weighted sums of strongly mixing sequences

... the Law of the Iterated Logarithm (LIL), however, strong mixing poses some problems, essentially due to the difficulty in using the second Borel-Cantelli ...of random variables with ... See full document

14

Moment convergence rates in the law of iterated logarithm for moving average process under dependence

Moment convergence rates in the law of iterated logarithm for moving average process under dependence

... the law of the iterated logarithm of moving average and Xiao and Yin [] got moment conver- gence rates in the law of logarithm for moving average process under dependence, ... See full document

13

The law of the iterated logarithm for LNQD sequences

The law of the iterated logarithm for LNQD sequences

... the law of the iterated logarithm for LNQD sequence with less restriction of moment ...the law of the iterated logarithm for a linear process generated by an LNQD sequence with ... See full document

17

Precise asymptotics in the law of the iterated logarithm for R/S statistic

Precise asymptotics in the law of the iterated logarithm for R/S statistic

... 5. Chen, R: A remark on the tail probability of a distribution. J. Multivar. Anal. 8, 328-333 (1978) 6. Sp˘ataru, A: Precise asymptotics in Spitzer’s law of large numbers. J. Theor. Probab. 12, 811-819 (1999) 7. ... See full document

23

A law of iterated logarithm for the subfractional Brownian motion and an application

A law of iterated logarithm for the subfractional Brownian motion and an application

... Chung’s law and Strassen’s functional law of the iterated loga- rithm appeared, the functional law of the iterated logarithm and its rates for some classes of Gaussian processes ... See full document

18

On Feller's criterion for the law of the iterated logarithm

On Feller's criterion for the law of the iterated logarithm

... Combining Feller’s criterion with a non-uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on[r] ... See full document

18

A differential for L-statistics

A differential for L-statistics

... Corollaries to these theorems yield asymptotic nor- mality and a law of the iterated logarithm (LIL) for T(Fn). Section 2 defines the differential and motivates its stati[r] ... See full document

6

The Hájek Rènyi inequality and strong law of large numbers for ANA random variables

The Hájek Rènyi inequality and strong law of large numbers for ANA random variables

... For example, Zhang [] proved the central limit theorem, Wang and Lu [] obtained some inequalities of the maximum of partial sums and weak convergence, Wang and Zhang [] established the law of the ... See full document

9

Some results on convergence rates for probabilities of moderate deviations for sums of random variables

Some results on convergence rates for probabilities of moderate deviations for sums of random variables

... The Law of the Iterated Logarithm and Related Strong Lecture Convergence Theorems for Banach Space Valued Random Variables, Notes in Mathematics No.__ 53._.9, Springer-Verlag, Berlin, 19[r] ... See full document

17

Second Moment Convergence Rates for Uniform Empirical Processes

Second Moment Convergence Rates for Uniform Empirical Processes

... Inspired by the above conclusions, we consider second moment convergence rates for the uniform empirical process in the law of iterated logarithm and the law of the logarithm. ... See full document

9

Estimates of the approximation of weighted sums of conditionally independent random variables by the normal law

Estimates of the approximation of weighted sums of conditionally independent random variables by the normal law

... To conclude the presentation of the main result, we will deal with three other applica- tions, specifically to exchangeable sequences of r.v.’s, to mixtures of Markov chains and to the homogeneous Boltzmann ... See full document

21

On Chung Teicher type strong law for arrays of vector valued random variables

On Chung Teicher type strong law for arrays of vector valued random variables

... We study the equivalence between the weak and strong laws of large numbers for arrays of row-wise independent random elements with values in a Banach space Ꮾ. The conditions under which this equivalence holds are ... See full document

16

The Long-Term Effects of Rehabilitation Program for Children in Conflict with the Law

The Long-Term Effects of Rehabilitation Program for Children in Conflict with the Law

... The researchers employed a descriptive survey method validated by a quantitative method in the form of a questionnaire. Descriptive research is conclusive in nature, as opposed to exploratory. This means that descriptive ... See full document

7

A  Simple  Proof  of  a  Distinguishing  Bound  of  Iterated  Uniform  Random  Permutation

A Simple Proof of a Distinguishing Bound of Iterated Uniform Random Permutation

... uniform random variable over X as X. In this notation, P, called uniform random permutation, is the uniform random variable chosen from the set of all permutations over ...transformed random ... See full document

5

The Tortoise and the (Soft)ware: Moore’s Law, Amdahl’s Law, and Performance Trends for Human-Machine Systems

The Tortoise and the (Soft)ware: Moore’s Law, Amdahl’s Law, and Performance Trends for Human-Machine Systems

... The graphs in Figure 2A and 2B represent the data from research on simple reaction time (RT)— the time, in msec, to make a simple response (e.g., pressing a key) to the presentation of a single, simple stimulus (here, a ... See full document

23

The Law of Trusts

The Law of Trusts

... ¶ 45 In a manner consistent with our precedent, we decline to weigh for ourselves the relative equities of these actions. In Jeffs v. Stubbs, we announced our rationale for granting trial courts broad discretion in ... See full document

396

A Strong Law of Large Numbers for Set Valued Random Variables in Gα Space

A Strong Law of Large Numbers for Set Valued Random Variables in Gα Space

... set-valued random theory, the theory of set-valued random variables and their applications have become one of new and active branches in probability ...set-valued random variables has ... See full document

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