Results 1 to 10 of about 1,018 (114)
A law of the iterated logarithm for Grenander's estimator. [PDF]
Stoch Process Their Appl, 2016 In this note we prove the following law of the iterated logarithm for the Grenander estimator of a monotone decreasing density: If $f(t_0) > 0$, $f'(t_0) < 0$, and $f'$ is continuous in a neighborhood of $t_0$, then \begin{eqnarray*} \limsup_{n ...
Dümbgen L, Wellner JA, Wolff M.
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A characterization of Chover-type law of iterated logarithm. [PDF]
Springerplus, 2014 Let $0 < \alpha \leq 2$ and $- \infty < \beta < \infty$. Let $\{X_{n}; n \geq 1 \}$ be a sequence of independent copies of a real-valued random variable $X$ and set $S_{n} = X_{1} + \cdots + X_{n}, ~n \geq 1$.
Li D, Chen P.
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On the spectrum of noisy blown-up matrices
Special Matrices, 2020 We study the eigenvalues of large perturbed matrices. We consider a pattern matrix P, we blow it up to get a large block-matrix Bn. We can observe only a noisy version of matrix Bn. So we add a random noise Wn to obtain the perturbed matrix An = Bn + Wn.
Fazekas István, Pecsora Sándor
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Open Mathematics, 2023 In this work, the authors study some convergence results including weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for weighted sums of coordinatewise asymptotically negatively associated ...
He Qihui, Pan Lin
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Sectorial convergence of U-statistics [PDF]
, 2005 In this note we show that almost sure convergence to zero of symmetrized U-statistics indexed by a linear sector in Z^d_+ is equivalent to convergence along the diagonal of Z^d_+, as it is considered in Lata\la and Zinn [Ann. Probab. 28 (2000) 1908-1924].
Gadidov, Anda
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Sequential change-point detection in a multinomial logistic regression model
Open Mathematics, 2020 Change-point detection in categorical time series has recently gained attention as statistical models incorporating change-points are common in practice, especially in the area of biomedicine.
Li Fuxiao, Chen Zhanshou, Xiao Yanting
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Strong consistency of regression function estimator with martingale difference errors
Open Mathematics, 2021 In this paper, we consider the regression model with fixed design: Yi=g(xi)+εi{Y}_{i}=g\left({x}_{i})+{\varepsilon }_{i}, 1≤i≤n1\le i\le n, where {xi}\left\{{x}_{i}\right\} are the nonrandom design points, and {εi}\left\{{\varepsilon }_{i}\right\} is a ...
Chen Yingxia
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Limit distribution of degrees in random family trees [PDF]
, 2010 In a one-parameter model for evolution of random trees, which also includes the Barabasi-Albert random tree, almost sure behavior and the limiting distribution of the degree of a vertex in a fixed position are examined. Results about Polya urn models are
Backhausz, Agnes
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A Note on Rate of Convergence in Probability to Semicircular Law [PDF]
, 2011 In the present paper, we prove that under the assumption of the finite sixth moment for elements of a Wigner matrix, the convergence rate of its empirical spectral distribution to the Wigner semicircular law in probability is $O(n^{-1/2})$ when the ...
Bai, Zhidong +3 more
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Sufficient and necessary conditions of convergence for ρ͠ mixing random variables
Open Mathematics, 2019 In the present paper, the sufficient and necessary conditions of the complete convergence and complete moment convergence for ρ͠-mixing random variables are established, which extend some well-known results.
Zhang Shui-Li, Miao Yu, Qu Cong
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