Results 51 to 60 of about 15,741 (130)

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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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
doaj   +1 more source

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
doaj  

Some Probability Inequalities for Quadratic Forms of Negatively Dependent Subgaussian Random Variables [PDF]

Journal of Sciences, Islamic Republic of Iran, 2005
In this paper, we obtain the upper exponential bounds for the tail probabilities of the quadratic forms for negatively dependent subgaussian random variables.
doaj  

Precise asymptotics in the law of the iterated logarithm of random fields(随机场重对数律的精确渐近性)

Zhejiang Daxue xuebao. Lixue ban, 2005
设{X,Xk，k ∈ Zd+，X(i),i ≥ 1}是独立同分布的随机变量序列，且EX = 0，对δ>0，E[X2（log log|X|）1+δ]
YUANYu-ze(袁裕泽)
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A Nonlinear Dynamical View of Kleiber's Law on the Metabolism of Plants and Animals. [PDF]

Entropy (Basel), 2023
Camacho-Vidales LJ, Robledo A.
europepmc   +1 more source

The Law of the Iterated Logarithm for L_p-Norms of Kernel Estimators of Cumulative Distribution Functions

Mathematics
In this paper, we consider the strong convergence of Lp-norms (p≥1) of a kernel estimator of a cumulative distribution function (CDF). Under some mild conditions, the law of the iterated logarithm (LIL) for the Lp-norms of empirical processes is extended
Fuxia Cheng
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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
doaj  

The Law of the Iterated Logarithm for the Error Distribution Estimator in First-Order Autoregressive Models

Axioms
This paper investigates the asymptotic behavior of kernel-based estimators for the error distribution in a first-order autoregressive model with dependent errors. The model assumes that the error terms form an α-mixing sequence with an unknown cumulative
Bing Wang, Yi Jin, Lina Wang, Xiaoping Shi, Wenzhi Yang   +4 more
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Chover-Type Laws of the Iterated Logarithm for Kesten-Spitzer Random Walks in Random Sceneries Belonging to the Domain of Stable Attraction

Discrete Dynamics in Nature and Society, 2018
Let X={Xi,i≥1} be a sequence of real valued random variables, S0=0 and Sk=∑i=1kXi  (k≥1). Let σ={σ(x),x∈Z} be a sequence of real valued random variables which are independent of X’s.
Wensheng Wang, Anwei Zhu
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