Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Brian K. Miceli"'
Autor:
Brian K. Miceli, Eduardo C Balreira
Publikováno v:
Journal of Advances in Mathematics and Computer Science. :1-14
Utilizing a modied Bradley-Terry model, we develop a method of making foresight predictions of 2002-2018 NFL games by incorporating a home-eld parameter into previously established ranking models. Knowing only the home team and score of each contest,
Publikováno v:
Archiv der Mathematik. 110:539-547
We provide a geometric condition that guarantees strong Wilf equivalence in the generalized factor order. This provides a powerful tool for proving specific and general Wilf equivalence results, and several such examples are given.
Publikováno v:
Annals of Combinatorics. 19:337-361
Let \({\mathcal{S} = (s_1, s_2, \ldots)}\) be any sequence of nonnegative integers and let \({{S_{k} = \sum_{i=1}^k} {s_i}}\).We then define the falling (rising) factorials relative to \({\mathcal{S}}\) by setting \({(x)\downarrow_{k, \mathcal{S}} =
Autor:
Brian K. Miceli
Publikováno v:
The College Mathematics Journal. 45:365-369
We give a combinatorial proof of an algebraic result of Katsuura's. Moreover, we use the proof of this result to shed some light on an interesting property of the result itself.
Publikováno v:
Journal of Quantitative Analysis in Sports. 10
Multiple models are discussed for ranking teams in a league and introduce a new model called the Oracle method. This is a Markovovian method that can be customized to incorporate multiple team traits into its ranking. Using a foresight prediction of
Autor:
Jeffrey B. Remmel, Brian K. Miceli
Publikováno v:
The Electronic Journal of Combinatorics. 15
There are a number of so-called factorization theorems for rook polynomials that have appeared in the literature. For example, Goldman, Joichi and White showed that for any Ferrers board $B = F(b_1, b_2, \ldots, b_n)$, $$\prod_{i=1}^n (x+b_i-(i-1)) =