Dirichlet composition distribution for compositional data with zero components: An application to fluorescence in situ hybridization (FISH) detection of chromosome

Tang, Man-Lai1; Wu, Qin2; Yang, Sheng3; Tian, Guo-Liang4

2021-12-01

10.1002/bimj.202000334

BIOMETRICAL JOURNAL   影响因子和分区

0323-3847

1521-4036

Zeros in compositional data are very common and can be classified into rounded and essential zeros. The rounded zero refers to a small proportion or below detection limit value, while the essential zero refers to the complete absence of the component in the composition. In this article, we propose a new framework for analyzing compositional data with zero entries by introducing a stochastic representation. In particular, a new distribution, namely the Dirichlet composition distribution, is developed to accommodate the possible essential-zero feature in compositional data. We derive its distributional properties (e.g., its moments). The calculation of maximum likelihood estimates via the Expectation-Maximization (EM) algorithm will be proposed. The regression model based on the new Dirichlet composition distribution will be considered. Simulation studies are conducted to evaluate the performance of the proposed methodologies. Finally, our method is employed to analyze a dataset of fluorescence in situ hybridization (FISH) for chromosome detection.

compositional data Dirichlet distribution EM algorithm essential zero gamma distribution rounded zeros stochastic representation

SCI ; EI

英语

其他

NationalNatural Science Foundation of China[12171167,11801184] ; ResearchGrant Council of theHongKong SpecialAdministrativeRegion["UGC/FDS14/P06/17","UGC/FDS14/P02/18"]

Mathematical & Computational Biology ; Mathematics

Mathematical & Computational Biology ; Statistics & Probability

WOS:000730778300001

WILEY

MATHEMATICS

Web of Science

1.Brunel Univ London, Coll Engn Design & Phys Sci, Dept Math, Uxbridge UB8 3PH, Middx, England
2.South China Normal Univ, Sch Math Sci, Dept Stat, Guangzhou, Guangdong, Peoples R China
3.Zhongshan Peoples Hosp, Zhongshan, Peoples R China
4.Southern Univ Sci & Technol, Dept Stat & Data Sci, Shenzhen, Guangdong, Peoples R China

Tang, Man-Lai,Wu, Qin,Yang, Sheng,et al. Dirichlet composition distribution for compositional data with zero components: An application to fluorescence in situ hybridization (FISH) detection of chromosome[J]. BIOMETRICAL JOURNAL,2021.

Tang, Man-Lai,Wu, Qin,Yang, Sheng,&Tian, Guo-Liang.(2021).Dirichlet composition distribution for compositional data with zero components: An application to fluorescence in situ hybridization (FISH) detection of chromosome.BIOMETRICAL JOURNAL.

Tang, Man-Lai,et al."Dirichlet composition distribution for compositional data with zero components: An application to fluorescence in situ hybridization (FISH) detection of chromosome".BIOMETRICAL JOURNAL (2021).