Results 61 to 70 of about 26,394 (176)

A general law of the iterated logarithm for non-additive probabilities

Results in Applied Mathematics
Motivated by some interesting problems in mathematical economics, quantum mechanics and finance, non-additive probabilities have been used to describe the phenomena which are generally non-additive. In this paper, we further study the law of the iterated
Zhaojun Zong, Miaomiao Gao, Feng Hu
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Sharp Second-Order Pointwise Asymptotics for Lossless Compression with Side Information

Entropy, 2020
The problem of determining the best achievable performance of arbitrary lossless compression algorithms is examined, when correlated side information is available at both the encoder and decoder.
Lampros Gavalakis, Ioannis Kontoyiannis
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Limit properties for ratios of order statistics from exponentials

Journal of Inequalities and Applications, 2017
In this paper, we study the limit properties of the ratio for order statistics based on samples from an exponential distribution and obtain the expression of the density functions, the existence of the moments, the strong law of large numbers for R n i j
Yong Zhang, Xue Ding
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Asymptotic Behaviors of the Lorenz Curve for Left Truncated and Dependent Data [PDF]

Journal of Sciences, Islamic Republic of Iran, 2012
The purpose of this paper is to provide some asymptotic results for nonparametric estimator of the Lorenz curve and Lorenz process for the case in which data are assumed to be strong mixing subject to random left truncation.
M. Bolbolian Ghalibaf
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Boundary Kernels for Distribution Function Estimation

Revstat Statistical Journal, 2013
Boundary effects for kernel estimators of curves with compact supports are well known in regression and density estimation frameworks. In this paper we address the use of boundary kernels for distribution function estimation.
Carlos Tenreiro
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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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A law of the iterated logarithm for small counts in Karlin’s occupancy scheme

Modern Stochastics: Theory and Applications
In the Karlin infinite occupancy scheme, balls are thrown independently into an infinite array of boxes $1,2,\dots $ , with probability ${p_{k}}$ of hitting the box k.
Alexander Iksanov, Valeriya Kotelnikova
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Measures and the Law of the Iterated Logarithm

, 2009
Let m be a unidimensional measure with dimension d. A natural question is to ask if the measure m is comparable with the Hausdorff measure (or the packing measure) in dimension d.
Bhouri, Imen, Heurteaux, Yanick
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Asymptotics for the Moment Convergence of -Statistics in LIL

Journal of Inequalities and Applications, 2010
Let be a -statistic based on a symmetric kernel and i.i.d. samples . In this paper, the exact moment convergence rates in the law of the iterated logarithm and the law of the logarithm of are obtained, which extend previous results concerning ...
Fu Ke-Ang
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A Survey on the Integral Means Spectrum for Conformal Mappings [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2015
The present survey is devoted to the description of the results about estimates of the integral means in various classes of analytic functions. Great importance is given to the boundary properties of conformal mappings.
I.R. Kayumov
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