Probability and Bayes theorem, Frequentist and Bayesian statistics, likelihood

function, parameter estimation and properties of estimators, maximum likelihood

estimators (MLE), information inequality, asymptotic properties of MLE,

variance of MLE

Error propagation, combination of stat+syst errors, profile likelihood, inter-experiment combination of likelihoods, trial factors, binned likelihood and applications in gamma-ray astronomy (Poisson Maximum Likelihood Estimation, On-Off Likelihood statistics)

Without a proper accounting of known and unknown systematics and uncertainties, combining information across multiple surveys, wavelengths, and detectors may be risky. Realizing the true potential of multi-messenger and panchromatic astrophysics requires getting data integration right.

The Cherenkov Telescope Array (CTA) will be the first astronomical observatory fully covering the gamma-ray sky in an energy range from 20 GeV up to 300 TeV. The observatory will be composed of two arrays of tens of telescopes located in La Palma, Spain, and Paranal, Chile.

Among the Key Science Projects proposed by the CTA Consortium, Galactic and extragalactic surveys will be conducted...