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http://hdl.handle.net/1942/12895
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DC Field | Value | Language |
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dc.contributor.author | EGGHE, Leo | - |
dc.date.accessioned | 2012-01-11T11:08:23Z | - |
dc.date.available | 2012-01-11T11:08:23Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | MATHEMATICAL AND COMPUTER MODELLING, 55(7-8), p.1898-1903. | - |
dc.identifier.issn | 0895-7177 | - |
dc.identifier.uri | http://hdl.handle.net/1942/12895 | - |
dc.description.abstract | The Naranan formalism supposes that the number of sources and the number of items in sources grows exponentially. Here we extend this formalism by assuming, very generally, that the number of sources grows according to a function φ(t) and that the number of items in sources grows according to a function ψ(t). We then prove formulae for the rank-frequency function g(r) and the size-frequency function f(j) in terms of the function φ(t) and ψ(t). As a special case, we obtain Naranan’s original result that f(j) is the law of Lotka if φ and ψ are exponential functions. We also prove relations between the rank- and size-frequency functions of two systems where the second system is built on the same functions φ and ψ as the first system but in reverse order. Results of φ=ψ follow from this as a consequence. | - |
dc.language.iso | en | - |
dc.subject.other | Naranan; Rank-frequency function; Size-frequency function; Growth | - |
dc.title | Study of rank- and size-frequency functions and their relations in a generalized Naranan framework | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1903 | - |
dc.identifier.issue | 7-8 | - |
dc.identifier.spage | 1898 | - |
dc.identifier.volume | 55 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1016/j.mcm.2011.11.047 | - |
dc.identifier.isi | 000300621900006 | - |
dc.identifier.url | http://www.sciencedirect.com/science/article/pii/S0895717711007321 | - |
item.fullcitation | EGGHE, Leo (2012) Study of rank- and size-frequency functions and their relations in a generalized Naranan framework. In: MATHEMATICAL AND COMPUTER MODELLING, 55(7-8), p.1898-1903.. | - |
item.validation | ecoom 2013 | - |
item.accessRights | Open Access | - |
item.fulltext | With Fulltext | - |
item.contributor | EGGHE, Leo | - |
crisitem.journal.issn | 0895-7177 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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egghe1.pdf | 298.74 kB | Adobe PDF | View/Open | |
Study 1.pdf | 229.25 kB | Adobe PDF | View/Open |
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