Factoring peak polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Given a permutation $\pi=\pi_1\pi_2\cdots \pi_n \in S_n$, we say an index $i$ is a peak if $\pi_{i-1} < \pi_i > \pi_{i+1}$. Let $P(\pi)$ denote the set of peaks of $\pi$.
Sara Billey +2 more
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Binomial-coefficient multiples of irrationals [PDF]
, 1998 Denote by $x$ a random infinite path in the graph of Pascal's triangle (left and right turns are selected independently with fixed probabilities) and by $d_n(x)$ the binomial coefficient at the $n$'th level along the path $x$. Then for a dense $G_{\delta}
Adams, Terrence M., Petersen, Karl E.
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Reliability of environmental sampling culture results using the negative binomial intraclass correlation coefficient. [PDF]
, 2014 The Intraclass Correlation Coefficient (ICC) is commonly used to estimate the similarity between quantitative measures obtained from different sources.
Aly, Sharif S +3 more
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On some series involving the binomial coefficients $binom{3n}{n}$ [PDF]
Notes on Number Theory and Discrete MathematicsUsing a simple transformation, we obtain much simpler forms for some series involving binomial coefficients $binom{3n}{n}$ derived by Necdet Batir. New evaluations are given and connections with Fibonacci numbers and the golden ratio are established ...
Kunle Adegoke +2 more
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Explicit formulas for the $p$-adic valuations of Fibonomial coefficients II
AIMS Mathematics, 2020 In this article, we give explicit formulas for the $p$-adic valuations of the Fibonomial coefficients $\binom{p^a n}{n}_F$ for all primes $p$ and positive integers $a$ and $n$.
Phakhinkon Phunphayap +1 more
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BayesX: Analysing Bayesian structured additive regression models [PDF]
, 2003 There has been much recent interest in Bayesian inference for generalized additive and related models. The increasing popularity of Bayesian methods for these and other model classes is mainly caused by the introduction of Markov chain Monte Carlo (MCMC)
Brezger, Andreas +2 more
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q-Analogue of a binomial coefficient congruence
International Journal of Mathematics and Mathematical Sciences, 1995 We establish a q-analogue of the congruence (papb)≡(ab) (modp2) where p is a prime and a and b are positive integers.
W. Edwin Clark
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Euler-type sums involving multiple harmonic sums and binomial coefficients
Open Mathematics, 2021 In this paper, we mainly show that generalized Euler-type sums of multiple harmonic sums with reciprocal binomial coefficients can be expressed in terms of rational linear combinations of products of classical multiple zeta values (MZVs) and multiple ...
Si Xin
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Count data models with variance of unknown form: an application to a hedonic model of worker absenteeism [PDF]
, 1997 We examine an econometric model of counts of worker absences due to illness in a sluggishly adjusting hedonic labor market. We compare three estimators that parameterize the conditional variance?least squares, Poisson, and negative binomial pseudo ...
Delgado, Miguel A., Kniefner, Thomas J.
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Divisibility of Fibonomial coefficients in terms of their digital representations and applications
AIMS Mathematics, 2022 We give a characterization for the integers $ n \geq 1 $ such that the Fibonomial coefficient $ {pn \choose n}_F $ is divisible by $ p $ for any prime $ p \neq 2, 5 $.
Phakhinkon Napp Phunphayap +1 more
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