共查询到10条相似文献,搜索用时 46 毫秒
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In this paper, we give precise formulas for the general two-dimensional recursion sequences by generating function method, and make use of the multivariate generating functions asymptotic estimation technique to compute their asymptotic values. 相似文献
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Isabelle Baraquin 《Comptes Rendus Mathematique》2019,357(5):450-454
In this note, we study the asymptotic properties of the ?-distribution of traces of some matrices, with respect to the free Haar trace on the unitary dual group. The considered matrices are powers of the unitary matrix generating the Brown algebra. We proceed in two steps, first computing the free cumulants of any R-cyclic family, then characterizing the asymptotic ?-distributions of the traces of powers of the generating matrix, thanks to these free cumulants. In particular, we obtain that these traces are asymptotic ?-free circular variables. 相似文献
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We study a class of full history recurrence equations using generating functions. The generating functions are shown to satisfy a first order linear differential equation. Singularity analysis and saddle-point methods can then be employed to derive asymptotic approximation for the coefficients of the generating functions. 相似文献
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The Ramanujan Journal - We give asymptotic expansions for the moments of the $$M_2$$-rank generating function and for the $$M_2$$-rank generating function at roots of unity. For this we apply the... 相似文献
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Hongmei Liu Wensong Mou Tianming Wang 《Journal of Mathematical Analysis and Applications》2011,383(1):200-207
In this paper, we derive recursions of some RNA secondary structures with certain properties under two new representations. Furthermore, by making use of methods of asymptotic analysis and generating functions we present asymptotic enumeration of these RNA secondary structures. 相似文献
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B Kaper 《Journal of Mathematical Analysis and Applications》1976,54(3):865-879
In this paper we consider a certain class of nonlinear dispersive wave problems having solutions in the form of slowly varying wavetrains. We develop a procedure generating successively formal asymptotic approximations of these wavetrains of increasing asymptotic accuracy. In order to obtain formal asymptotic approximations we apply the two variable construction technique as developed in [3] for a class of perturbed oscillations described by nonlinear ordinary differential equations containing a small nonnegative perturbation parameter ?. 相似文献
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The first complete running time analysis of a stochastic divide and conquer algorithm was given for Quicksort, a sorting algorithm invented 1961 by Hoare. We analyse here the variant Random Median Quicksort. The analysis includes the expectation, the asymptotic distribution, the moments and exponential moments. The asymptotic distribution is characterized by a stochastic fixed point equation. The basic technic will be generating functions and the contraction method. 相似文献
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We compare two estimates of the cumulant generating function of a stationary linear process. The first estimate is based on
the empirical moment generating function. The second estimate uses the linear representation of the process and the empirical
moment generating function of the innovations. Asymptotic expressions for the mean square errors are derived under short-
and long-range dependence. For long-memory processes, the estimate based on the linear representation turns out to have a
better rate of convergence. Thus, exploiting the linear structure of the process leads to an infinite gain in asymptotic efficiency. 相似文献