Results 41 to 50 of about 177,430,963 (194)
Discrete Dynamics in Nature and Society, 2022 Let X,Xn,n≥1 be a sequence of independent, identically distributed random variables under sublinear expectations with CVX20 and an=olog logn−d, we obtain the exact rates in the law of iterated logarithm of a kind of weighted infinite series of CVMn−ε+anσ¯
Mingzhou Xu, Kun Cheng
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The Other Law of the Iterated Logarithm
The Annals of Probability, 1975 Let $\{X_n\}$ be a sequence of independent, identically distributed random variables with $EX_1 = 0, EX_1^2 = 1$. Define $S_n = X_1 + \cdots + X_n$, and $A_n = \max_{1\leqq k\leqq n} |S_k|$. We prove that $\lim \inf A_n(n/\log \log n)^{-\frac{1}{2}} = \pi/8^{\frac{1}{2}}$ with probability one.
Jain, Naresh C., Pruitt, William E.
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On the other law of the iterated logarithm for self-normalized sums
Anais da Academia Brasileira de Ciências, 2008 Inthisnote, we obtain a Chung's integral test for self-normalized sums of i.i.d. random variables. Furthermore, we obtain a convergence rate of Chung law of the iterated logarithm for self-normalized sums.Nesta nota, obtemos um teste integral de Chung ...
Guang-Hui Cai
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On the Law of the Iterated Logarithm
The Annals of Probability, 1978 Let $X_1, X_2,\cdots$ be a sequence of independent random variables, each with zero mean and finite variance. Define $S_n = \sum^n_{i=1} X_i, s_n^2 = E(S_n^2), t_n^2 = 2 \log \log s_n^2$ and $\Lambda = \lim \sup_{n\rightarrow\infty} S_n/(s_n t_n)$. Suppose that $|X_n| \leqq c_n s_n$ a.s.
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The Law of the Iterated Logarithm for U-Processes
, 1993 Sufficient conditions for the law of the iterated logarithm for non-degenerate U-processes are presented. The law of the iterated logarithm for V-C subgraph classes of functions is obtained under second moment of the envelope.
Arcones, M.A.
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The Law Of The Iterated Logarithm
Na početku diplomskog rada definiraju se pojmovi iz teorije vjerojatnosti koji se spominju tijekom čitavog rada i potrebni su za dokaz zakona ponovljenog logaritma.
Brlek, Dora
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A note on some laws of the iterated logarithm [PDF]
, 1975 Some function space laws of the iterated logarithm for Brownian motion with values in finite and infinite dimensional vector spaces are shown to follow from Hincin's classical law of the iterated logarithm and some martingale techniques.
Duncan, T.E
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Law of the iterated logarithm for U-statistics of weakly dependent observations [PDF]
, 2009 The law of the iterated logarithm for partial sums of weakly dependent processes was intensively studied by Walter Philipp in the late 1960s and 1970s.
Dehling, Herold +3 more
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Journal of Inequalities and Applications, 2016 We assume that X k = ∑ i = − ∞ + ∞ a i ξ i + k $X_{k}=\sum_{i=-\infty}^{+\infty}a_{i}\xi_{i+k}$ is a moving average process and { ξ i , − ∞ < i < + ∞ } $\{\xi_{i},-\infty ...
Yayun Zhang, Qunying Wu
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On The Law of the Iterated Logarithm in Hybrid Multiphase Queueing Systems
Operations Research and Decisions, 2020 The model of a hybrid multiphase queueing system (HMQS) has been developed to measure the performance of complex computer networks working under conditions of heavy traffic.
Saulius Minkevičius
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