Results 111 to 120 of about 1,959,412 (322)
Asymptotic Formula for the Moments of Lebesgue’s Singular Function
Моделирование и анализ информационных систем, 2015 Recall Lebesgue’s singular function. Imagine flipping a biased coin with probability p of heads and probability q = 1 − p of tails. Let the binary expansion of ξ ∈ [0, 1]: ξ = ∑∞ k=1 ck2−k be determined by flipping the coin infinitely many times, that is ...
E. A. Timofeev
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BRAVO for many-server QED systems with finite buffers [PDF]
, 2013 This paper demonstrates the occurrence of the feature called BRAVO (Balancing Reduces Asymptotic Variance of Output) for the departure process of a finite-buffer Markovian many-server system in the QED (Quality and Efficiency-Driven) heavy-traffic regime.
Daley, Daryl J. +2 more
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An Asymptotic Formula for Binomial Sums
Journal of Number Theory, 1996 This paper studies asymptotic expansions for binomial sums of the form \[ S(n)=\sum^n_{k=0}\begin{pmatrix} n\\ k\end{pmatrix}^{r_0}\begin{pmatrix} n+k\\ k\end{pmatrix}^{r_1}\begin{pmatrix} n+2k\\ k\end{pmatrix}^{r_2}\dots\begin{pmatrix} n+mk\\ k\end{pmatrix}^{r_m}, \] where the \(r_j\) are nonnegative real numbers with \(r_0>0\). The main result is the
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An asymptotic formula for the Chebyshev theta function [PDF]
Notes on Number Theory and Discrete Mathematics, 2019 Let $\{p_n\}_{n\ge 1}$ be the sequence of primes and $\vartheta(x) = \sum_{p \leq x} \log p$, where $p$ runs over the primes not exceeding $x$, be the Chebyshev $\vartheta$-function. In this note we derive lower and upper bounds for $\vartheta(p_n)/n$ by comparing it with $\log p_{n+1}$ and deduce that $\vartheta(p_n)/n=\log p_{n+1}\left(1-\frac{1 ...
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Predicting cervical cancer DNA methylation from genetic data using multivariate CMMP
Canadian Journal of Statistics, EarlyView.Abstract Epigenetic modifications link the environment to gene expression and play a crucial role in tumour development. DNA methylation, in particular, is gaining attention in cancer research, including cervical cancer, the focus of this study.
Hang Zhang +5 more
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A series transformation formula and related polynomials
International Journal of Mathematics and Mathematical Sciences, 2005 We present a formula that turns power series into series of functions. This formula serves two purposes: first, it helps to evaluate some power series in a closed form; second, it transforms certain power series into asymptotic series.
Khristo N. Boyadzhiev
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Canadian Journal of Statistics, EarlyView.Abstract We establish the consistency and the asymptotic distribution of the least squares estimators of the coefficients of a subset vector autoregressive process with exogenous variables (VARX). Using a martingale central limit theorem, we derive the asymptotic normal distribution of the estimators. Diagnostic checking is discussed using kernel‐based
Pierre Duchesne +2 more
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Asymptotic properties of cross‐classified sampling designs
Canadian Journal of Statistics, EarlyView.Abstract We investigate the family of cross‐classified sampling designs across an arbitrary number of dimensions. We introduce a variance decomposition that enables the derivation of general asymptotic properties for these designs and the development of straightforward and asymptotically unbiased variance estimators.
Jean Rubin, Guillaume Chauvet
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Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case
Advances in Difference Equations, 2010 We discuss in detail the error bounds for asymptotic solutions of second-order linear difference equation where and are integers, and have asymptotic expansions of the form , , for large values of , , and .
Zhang JM, Cao LH
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Asymptotic formulae for mixed congruence stacks [PDF]
Research in the Mathematical Sciences, 2018 19 pages, 2 figures, results from dissertation ...
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