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020 _a9783031731648
_9978-3-031-73164-8
024 7 _a10.1007/978-3-031-73164-8
_2doi
050 4 _aTA345-345.5
072 7 _aUN
_2bicssc
072 7 _aCOM018000
_2bisacsh
072 7 _aUN
_2thema
100 1 _aAltmann, Eduardo G.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988979
245 1 0 _aStatistical Laws in Complex Systems
_h[electronic resource] :
_bCombining Mechanistic Models and Data Analysis /
_cby Eduardo G. Altmann.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXIII, 140 p. 30 illus., 29 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUnderstanding Complex Systems,
_x1860-0840
505 0 _aIntroduction -- Examples of statistical laws -- From data to laws -- Synthesis statistical laws in context -- Datasets and Codes.
520 _aThis 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.
650 0 _aEngineering
_xData processing.
650 0 _aDynamics.
_965524
650 0 _aNonlinear theories.
_965525
650 1 4 _aData Engineering.
_966059
650 2 4 _aApplied Dynamical Systems.
_965530
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031731631
776 0 8 _iPrinted edition:
_z9783031731655
776 0 8 _iPrinted edition:
_z9783031731662
830 0 _aUnderstanding Complex Systems,
_x1860-0840
_967707
856 4 0 _uhttps://doi.org/10.1007/978-3-031-73164-8
912 _aZDB-2-INR
912 _aZDB-2-SXIT
999 _c65736
_d65736