Quasi-optimal weights: a versatile tool of data analysis

In this first part of the two-part account of the enabling technologies behind a successful completion of the Troitsk-nu-mass experiment, the parameter estimation method of quasioptimal weights is reviewed. In regard of statistical quality, it is on a par with the maximal likelihood method. but exceeds the latter in analytical transparency, flexibility, scope of applicability and numerical robustness. It also couples perfectly with the optimal jet definition and thus provides a comprehensive framework for data processing in particle physics and beyond.