The stochastic nature of the IMF in young stellar clusters implies that clusters of the same mass and age do not present the same unique values of their observed parameters. Instead they follow a distribution. We address the study of such distributions, parameterised in terms of their confidence limits, in evolutionary synthesis models. These confidence limits can be understood as the inherent ...

We investigate the anomalous $W^+W^-\gamma$ couplings through process $e^-e^+\,\rightarrow\,\nu_e\bar{\nu}_e\gamma$ for unpolarized and polarized electron (positron) beams at International Linear Collider. give 95$\%$ Confidence Level limits on with without systematic uncertainties various values of center-of-mass energies integrated luminosities. show that obtained can highly improve current e...

This paper investigates the relation between hypothesis testing and the construction of confidence intervals, with particular regard to bootstrap tests. In practice, confidence intervals are almost always based on Wald tests, and consequently are not invariant under nonlinear reparametrisations. Bootstrap percentile-t confidence intervals are an instance of this. However, the (asymptotically) p...

Phylogenetic analyses of large data sets pose special challenges, including the apparent tendency for the bootstrap support for a clade to decline with increased taxon sampling of that clade. We document this decline in data sets with increasing numbers of taxa in Astragalus, the most species-rich angiosperm genus. Support for one subclade, Neo-Astragalus, declined monotonically with increased ...

Let N experimental data be given, such that N = Ns + Nb, (Ns ≪ Nb), where Ns is the number of signals, Nb the number of background events, and both are unknown. Assume that a neural network (NN) has been trained, such that it will tag signals with efficiency Fs and background data with Fb, (1 > Fs ≫ Fb > 0). Applying the NN yields N Y < N tagged events. From the knowledge of N we find the a-pos...