Altmann E Statistical Laws in Complex Systems Mechanistic Models Analysis 2024
General:
Name: Altmann E Statistical Laws in Complex Systems Mechanistic Models Analysis 2024
Format: pdf
Size: 6.89 MB
Book:
Title: Statistical Laws in Complex Systems: Combining Mechanistic Models and Data Analysis
Author: Eduardo G. Altmann
Language: angielski
Year: 2024
Subjects: Computers, Database Management, Databases – General & Miscellaneous
Publisher: Springer-Verlag New York, LLC
ISBN: 9783031731648
Total pages: 150
Description:
This book provides a unifying approach to the study of statistical laws, critically evaluating their role in the theoretical understanding of complex systems and the different data-analysis methods used to evaluate them. Statistical laws describe regular patterns observed in diverse scientific domains, ranging from the magnitude of earthquakes (Gutenberg-Richter law) and metabolic rates in organisms (Kleiber’s law), to the frequency distribution of words in texts (Zipf’s and Herdan-Heaps’ laws), and productivity metrics of cities (urban scaling laws). The origins of these laws, their empirical validity, and the insights they provide into underlying systems have been subjects of scientific inquiry for centuries. Through a historical review and a unified analysis, this book argues that the persistent controversies on the validity of statistical laws are predominantly rooted not in novel empirical findings but in the discordance among data-analysis techniques, mechanistic models, and the interpretations of statistical laws. Starting with simple examples and progressing to more advanced time-series and statistical methods, this book and its accompanying repository provide comprehensive material for researchers interested in analyzing data, testing and comparing different laws, and interpreting results in both existing and new datasets.
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