3 citations · 5 across the 7 of their papers we have counts for
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The gradient flow of the polarization measure. With an appendix
Giovanni Pistone, Maria Piera Rogantin
The polarization measure is the probability that among 3 individuals chosen at random from a finite population exactly 2 come from the same class. This index is maximum at the midp…
Saturated fractions of two-factor designs
Roberto Fontana, Fabio Rapallo, Maria Piera Rogantin
In this paper we study saturated fractions of a two-factor design under the simple effect model. In particular, we define a criterion to check whether a given fraction is saturated…
Toric Statistical Models: Ising and Markov
Giovanni Pistone, Maria Piera Rogantin
This is a review of current research in Markov chains as toric statistical models. Its content is mixture of background information, results from the relevant recent literature, ne…
The Algebra of Reversible Markov Chains
Giovanni Pistone, Maria Piera Rogantin
For a Markov chain both the detailed balance condition and the cycle Kolmogorov condition are algebraic binomials. This remark suggests to study reversible Markov chains with the t…
Indicator function and complex coding for mixed fractional factorial designs
Giovanni Pistone, Maria Piera Rogantin
In a general fractional factorial design, the -levels of a factor are coded by the -th roots of the unity. This device allows a full generalization to mixed-level designs of…