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We prove the following results concerning the combinatorics of list decoding, motivated by the exponential gap between the known upper bound (of $O(1/\gamma)$) and lower bound (of $\Omega_p(\log (1/\g...
A consecutive K-out-of-n: F system consists of n identical and stochastically independent components arranged on a line. The system will fail if and only if at least k consecutive components fail. Let...
In the case where ρ is convex we give a set of sufficient conditions for the strong consistency of M-estimate of multiple regression coefficients.
摘要 Consider the regression model Y_i=u(x_i)+ε_i,i=1,2,…,n, where u(x)∈W_(2,per)~2[0,1],x_i=(i-1)/n,{ε_i}_1^nare i.i.d, random variables. We use the periodic smoothing spline u_(λp)(x)to estimate u(x)....
This paper discusses the strong consistency of M estimator of regression parameter in linear model for negatively associated samples. As a result, the author extends Theorem 1 and Theorem 2 of Shancha...
In 1990, Bondy posed the small circuit double cover (SCDC) conjecture: Every $2$-connected graph has a circuit double cover (CDC) with the number of circuits less than $|V|$ (the order of the vertex s...
In this paper, we investigate the convergence property of the conjugate gradient algorithms which depend on the search directionsd_1=-g_1, d_{k+1}=-g_{k+1}+\beta_k d_k ,k\geq 1, by using different cho...
Strong uniform consistency rates are given for kernel type estimators of the conditional function with \varphi-mixing sample. Especially, for nonparametrice stimators of kernel density, the regression...

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