Talk:Power law

'''Graphical method for identification'''

'''Graphical method for identification'''

Like the complementary cumulative distribution function, cumulative frequency data collected at different scales of observation can be effectively represented on the same log–log plot. Like the complementary cumulative distribution function, cumulative frequency data collected at different scales of observation can be effectively represented using log–log plots. This can be exemplified by an example involving used car prices. Imagine recording the frequency of online used car advertisements exceeding specific price thresholds on a used car listing website. A multi-scale sampling strategy can be performed using three distinct sub-samples, each consisting of 30 listings. The first sub-sample includes the 30 most recent ads with prices equal to or above €15,000, the second includes listings priced at €50,000 or more, and the third included those priced above €150,000. This approach enables the coverage of a wide price range (from €15,000 to more than half million euros) using only 90 observations. In contrast, capturing the same distribution range with a single-threshold sampling method would have required over 40,000 data points. [citation]

Like the complementary cumulative distribution function, cumulative frequency data collected at different scales of observation can be effectively represented on the same log–log plot. Like the complementary cumulative distribution function, cumulative frequency data collected at different scales of observation can be effectively represented using log–log plots. This can be exemplified by an example involving used car prices. Imagine recording the frequency of online used car advertisements exceeding specific price thresholds on a used car listing website. A multi-scale sampling strategy can be performed using three distinct sub-samples, each consisting of 30 listings. The first sub-sample includes the 30 most recent ads with prices equal to or above €15,000, the second includes listings priced at €50,000 or more, and the third included those priced above €150,000. This approach enables the coverage of a wide price range (from €15,000 to more than half million euros) using only 90 observations. In contrast, capturing the same distribution range with a single-scale sampling method would have required over 40,000 data points. [citation]

[[File:Power law distribution.png|thumb|Example of multi-scale analysis. The exponent estimation can be conducted by calculating the slope of the straight line connecting the two highlighted points.]] <!-- Template:Unsigned --><small class="autosigned">—&nbsp;Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Onion&bacon1980|Onion&bacon1980]] ([[User talk:Onion&bacon1980#top|talk]] • [[Special:Contributions/Onion&bacon1980|contribs]]) 17:22, 4 July 2025 (UTC)</small> <!--Autosigned by SineBot-->

[[File:Power law distribution.png|thumb|Example of multi-scale analysis. The exponent estimation can be conducted by calculating the slope of the straight line connecting the two highlighted points.]] <!-- Template:Unsigned --><small class="autosigned">—&nbsp;Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Onion&bacon1980|Onion&bacon1980]] ([[User talk:Onion&bacon1980#top|talk]] • [[Special:Contributions/Onion&bacon1980|contribs]]) 17:22, 4 July 2025 (UTC)</small> <!--Autosigned by SineBot-->