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本文利用一种直接的方法,无需通过经验过程的强逼近,建立了随机截断数据情形下,非参数密度估计重对数律的充分和必要条件,大大地改善了已有的相应的结果。 相似文献
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本文通过和W.Hardle处理完全数据情形时截然不同的方法,建立了随机截尾数据情形的回归函数估计的重对数律,作为本文特例(见定理3),大大地减少了文献[1]中主要结果的条件. 相似文献
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讨论了独立不同分布情况下均值误差的分布估计问题,用随机加权法给出了精度为O(√lnlnn/n)的逼近分布. 相似文献
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本文研究一维Wiener sausage.利用布朗运动的相关性质和收缩原理,得到p个Wiener sausage相交部分长度的中偏差和重对数律. 相似文献
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本文研究了未知分布的逼近问题,利用随机加权法,给出了有Edgeworth展式的一类(未知)分布的模拟分布,证明了在一定条件下,模拟分布与未知分布的逼近精度达到O(n^-1√lnlnn),称之为随机加权逼近的重对数律。 相似文献
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假定{(αi,βi),αi,βi∈(0,1),i∈Z}是一列i.i.d.的随机变量,γi=1-αi-βi,称{(αi,γi,βi),i∈Z}为随机环境.在这个环境上定义一个随机游动{Xk}(称为随机环境中可逗留随机游动):当在x状态时,它以概率αx向右游走一步,以概率βx向左游走一步,或者以概率γx逗留.本文获得了该过程能够游走的最大值的强极限边界. 相似文献
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Benjamin Vejnar 《Topology and its Applications》2010,157(18):2873-2875
We present a simple way to obtain all graphs with a given disconnection number if we know all the graphs with smaller disconnection number. Using this method we answer a question of Sam B. Nadler, i.e. we prove that there exist precisely 26 continua with disconnection number four. Some known results concerning disconnection number are also obtained as simple corollaries. Further we give some estimates on the number of distinct continua with a fixed disconnection number which concerns a problem of Sam B. Nadler. 相似文献
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In the last years, connection concepts such as rainbow connection and proper connection appeared in graph theory and received a lot of attention. In this paper, we present a general concept of connection in graphs. As a particular case, we introduce the odd connection number and the odd vertex-connection number of a graph. Furthermore, we compute and study the odd connection number and the odd vertex-connection number of graphs of various graph classes. 相似文献
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Shao-Hua Liu 《Discrete Mathematics》2019,342(12):111612
We introduce a method to construct bijections on increasing trees. Using this method, we construct an involution on increasing trees, from which we obtain the equidistribution of the statistics ‘number of odd vertices’ and ‘number of even vertices at odd levels’. As an application, we deduce that the expected value of the number of even vertices is twice the expected value of the number of odd vertices in a random recursive tree of given size. 相似文献
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首先,给出了偶数2v的自反的n-color有序分拆与v+1,v-1的n-color有序分拆之间的一个组合双射,并利用相应的计数公式得到了一个组合恒等式.其次,给出了正整数自反的n-color有序分拆数与Fibonacci数、Lucas数之间的一个关系式,并利用此关系式给出了偶数与奇数的自反的n-color有序分拆之间的一个组合双射.最后,给出了一些涉及正整数v的自反的n-color有序分拆数与其它有约束条件的有序分拆数之间的分拆恒等式. 相似文献
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利用正整数模的特征数这一新概念给出了合数是绝对假素数的充要条件。以此为据,证明了绝对假素数是奇数,它无异于1的平方因数,并且至少是三个互异的奇素数的乘积;还给出了两个绝对假素数或两个大于1的奇数的乘积是绝对假素数的充要条件。 相似文献
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We study a family of discrete dynamical processes introduced by Novikoff, Kleinberg, and Strogatz that we call flashcard games. We prove a number of results on the evolution of these games, and in particular, we settle a conjecture of NKS on the frequency with which a given card appears. We introduce a number of generalizations and variations that we believe are of interest, and we provide a large number of open questions and problems. 相似文献
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In this paper, we define an analogue of the Maillet determinant in terms of Clausen function in [6], and we give a class number formula for a real abelian number field. We also give two applications of this class number formula. 相似文献
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通过对首位数问题的研究,借鉴数论方法中的密率论,引入了自然数集合的统计密度的概念,将它进行了合理推广,并力图用初等微积分知识系统地建立了解决这一类问题的自然数集合对数密度理论. 相似文献
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《Discrete Mathematics》2021,344(12):112602
In a previous work [5], we developed the shifted Turán sieve method on a bipartite graph and applied it to problems on cycles in tournaments. More precisely, we obtained upper bounds for the number of tournaments which contain a small number of r-cycles. In this paper, we improve our sieve inequality and apply it to obtain an upper bound for the number of bipartite tournaments which contain a number of 2r-cycles far from the average. We also provide the exact bound for the number of tournaments which contain few 3-cycles, using other combinatorial arguments. 相似文献