Statistical Laws In Complex Systems Combining Mechanistic Models And Data Analysis 2024th Edition Eduardo G Altmann by Eduardo G. Altmann 9783031731631, 3031731638 instant download after payment.

In an era where information inundates every aspect of our lives and underpins economic activities, the identification of regular patterns in seemingly erratic data has become vitally important. This challenge is not exclusive to our daily lives but is also prevalent in the scientific quantification of physical, biological, and social
phenomena. The advent of “big data” has propelled this issue to the forefront of scientific discourse. The aim of this monograph is to provide a critical examination of statistical laws, a methodology extensively employed across various disciplines to summarize regularities in observational data and to incorporate them into theory.
Prominent exemplars of statistical laws go back to Pareto’s law of income distribution (from the late nineteenth century), include Zipf’s law of word frequencies and Gutenberg-Richter law of earthquake magnitudes (from the twentieth century), and extend to contemporary claims of universality in the observation of scalefree networks, the fat-tailed distribution of attention to online items, the stretched exponential distribution of intervals between extreme events, the bursty temporal patterns in digital communication, and urban scaling laws (all in the twenty-first century). These instances, among others reviewed in this monograph, illustrate that statistical laws are not merely curiosities or summaries of empirical observations (stylized facts), they play a crucial role in the validation of mechanistic models and theories of the underlying system.