Universal deterministic patterns in stochastic count data

Autor:	Cao, Zhixing, Wang, Yiling, Grima, Ramon
Rok vydání:	2024
Předmět:	Quantitative Biology - Quantitative Methods Physics - Data Analysis Statistics and Probability Physics - Physics and Society
Druh dokumentu:	Working Paper
Popis:	We report the existence of deterministic patterns in plots showing the relationship between the mean and the Fano factor (ratio of variance and mean) of stochastic count data. These patterns are found in a wide variety of datasets, including those from genomics, paper citations, commerce, ecology, disease outbreaks, and employment statistics. We develop a theory showing that the patterns naturally emerge when data sampled from discrete probability distributions is organised in matrix form. The theory precisely predicts the patterns and shows that they are a function of only one variable - the sample size. Comment: 13 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.17530 Zobrazit plný text záznamu View this record from Arxiv