Weights Allocation Based on Optimal Uncertainty Evaluation

Abstract

In the traditional measurement theory, precision is defined as the dispersion of measured value, and is used as the basis of weights calculation in the adjustment of measurement data with different qualities, which leads to the trouble that trueness is completely ignored in the weight allocation. In this paper, following the pure concepts of probability theory, the measured value (observed value) is regarded as a constant, the error as a random variable, and the variance is the dispersion of all possible values of an unknown error. Thus, a rigorous formula for weights calculation and variance propagation is derived, which solves the theoretical trouble of determining the weight values in the adjustment of multi-channel observation data with different qualities. The results show that the optimal weights are not only determined by the covariance array of observation errors, but also related to the model of adjustment.

Highly stable mixed halide perovskite quantum dots synthesized in the presence of fluorous ligands

“…[ 24 ] Another work reported MHP QD embedded silica core shell nanoparticles that showed a marginal variation in optical property after 40 days. [ 25 ] Bromine rich surfaces are very important for the stability of MHP QDs containing both bromine and iodine. Bromine (Br) rich surfaces contribute to stable MHP QDs due to stronger interaction of the Br with nitrogen in oleylamine leading to well‐passivated surfaces.…”