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- Q4353723 subject Q1457673.
- Q4353723 subject Q8794763.
- Q4353723 subject Q8817206.
- Q4353723 abstract "Rank-size distribution is the distribution of size by rank, in decreasing order of size. For example, if a data set consists of items of sizes 5, 100, 5, and 8, the rank-size distribution is 100, 8, 5, 5 (ranks 1 through 4). This is also known as the rank-frequency distribution, when the source data are from a frequency distribution. These are particularly of interest when the data vary significantly in scale, such as city size or word frequency. These distributions frequently follow a power law distribution, or less well-known ones such as a stretched exponential function or parabolic fractal distribution, at least approximately for certain ranges of ranks; see below.A rank-size distribution is not a probability distribution or cumulative distribution function. Rather, it is a discrete form of a quantile function (inverse cumulative distribution) in reverse order, giving the size of the element at a given rank.".
- Q4353723 thumbnail Rank_order_countries.png?width=300.
- Q4353723 wikiPageExternalLink UseOfABM_RS.pdf.
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- Q4353723 wikiPageWikiLink Q1457673.
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- Q4353723 wikiPageWikiLink Q8794763.
- Q4353723 wikiPageWikiLink Q8817206.
- Q4353723 wikiPageWikiLink Q974.
- Q4353723 comment "Rank-size distribution is the distribution of size by rank, in decreasing order of size. For example, if a data set consists of items of sizes 5, 100, 5, and 8, the rank-size distribution is 100, 8, 5, 5 (ranks 1 through 4). This is also known as the rank-frequency distribution, when the source data are from a frequency distribution. These are particularly of interest when the data vary significantly in scale, such as city size or word frequency.".
- Q4353723 label "Rank-size distribution".
- Q4353723 depiction Rank_order_countries.png.