Non–Parametric Estimation of Mutual Information through the Entropy of the Linkage

A new, non–parametric and binless estimator for the mutual information of a d–dimensional random vector is proposed. First of all, an equation that links the mutual information to the entropy of a suitable random vector with uniformly distributed components is deduced. When d = 2 this equation reduces to the well known connection between mutual information and entropy of the copula function associated to the original random variables. Hence, the problem of estimating the mutual information of the original random vector is reduced to the estimation of the entropy of a random vector obtained through a multidimensional transformation. The estimator we propose is a two–step method: first estimate the transformation and obtain the transformed sample, then estimate its entropy. The properties of the new estimator are discussed through simulation examples and its performances are compared to those of the best estimators in the literature. The precision of the estimator converges to values of the same order of magnitude of the best estimator tested. However, the new estimator is unbiased even for larger dimensions and smaller sample sizes, while the other tested estimators show a bias in these cases

Absolute reticulocyte count and reticulocyte hemoglobin content as predictors of early response to exclusive oral iron in children with iron deficiency anemia

We report data regarding kinetic of response to oral iron in 34 iron deficiency anemia children. Twenty-four/34 patients (70.5%) reached reference value of hemoglobin (Hb) concentration for age and sex at day + 30 from the beginning of treatment (complete early responders (CERs)), and 4/34 (12%) reached an Hb concentration at least 50% higher than the original (partial early responders (PERs)). CHr at T1 (within 7 days from the beginning of treatment) was significantly different in the different groups (22.95 in CERs versus 18.41 in other patients; p=0.001; 22.42 in early responders versus 18.07 in NERs; p=0.001). Relative increase of CHr from T0 to T1 resulted significantly higher in CERs than in other patients (0.21 versus 0.11, p=0.042) and in early responders than in NERs (0.22 versus 0.004, p=0.006). Multivariate logistic models revealed a higher probability of being a complete early responder due to relative increase of ARC from T0 to T1 [OR (95% CI) = 44.95 (1.54–1311.98)] and to CHr at T1 [OR (95% CI) =3.18 (1.24–8.17)]. Our preliminary data confirm CHr as early and accurate predictor of hematological response to oral iron

Current practice of iron prophylaxis in preterm and low birth weight neonates: A survey among Italian Neonatal Units.

Background: Preterm babies are at high risk of iron deficiency. Methods: We investigated current practices regarding iron prophylaxis in preterm and low birth weight newborns among Local Neonatal Units (LNUs, n = 74) and Neonatal Intensive Care Units (NICUs, n = 20) of three Italian Regions (Piemonte, Marche and Lazio). Results: Birth weight is considered an indicative parameter in only 64% of LNUs and 71% of NICUs, with a significant difference between LNUs in the three regions (86%, 20% and 62%, respectively; p < 0.001). Iron is recommended to infants with a birth weight between 2000 and 2500 g in only 25% of LNUs and 21% of NICUs, and to late-preterm (gestational age between 34 and 37 weeks) in a minority of Units (26% of LNUs, 7% of NICUs). Conclusions: Our pilot survey documents a great variability and the urgent need to standardize practices according to literature recommendations. Key Words: iron, iron deficiency anemia, newborn, preterm, prophylaxi