document: Duality revisited : construction of fractional frequency distributions based on two dual Lotka laws Fractional frequency distributions of , for example , authors with a certain -LRB- fractional -RRB- number of papers are very irregular , and therefore not easy to model or to explain . The article gives a first attempt to this by as suming two simple Lotka laws -LRB- with exponent 2 -RRB- : one for the number of authors with n papers -LRB- total count here -RRB- and one for the number of papers with n authors , n in N. Based on an earlier made convolution model of Egghe , interpreted and reworked now for discrete scores , we are able to produce theoretical fractional frequency distributions with only one parameter , which are in very close agreement with the practical ones as found in a large dataset produced earlier by Rao -LRB- 1995 -RRB- . The article also shows that -LRB- irregular -RRB- fractional frequency distributions are a consequence of Lotka 's law , and are not examples of breakdowns of this famous historical law
doc_bio_tags: O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O