Monotone Additive Statistics: Enhanced Data Analysis For Probabilities, Economics, And Machine Learning
Monotone additive statistics are combinations of monotone functions (increasing or non-decreasing), additive functions (decomposable into part-whole relationships), and statistical measures (summarizing data). Monotone functions ensure consistency in values, additive functions allow decomposition into meaningful components, and statistics provide concise data representations. Together, monotone additive statistics facilitate robust statistical analysis and modeling in diverse fields like…