PMID- 34914842
OWN - NLM
STAT- MEDLINE
DCOM- 20220419
LR  - 20220722
IS  - 1521-4036 (Electronic)
IS  - 0323-3847 (Print)
IS  - 0323-3847 (Linking)
VI  - 64
IP  - 4
DP  - 2022 Apr
TI  - Dirichlet composition distribution for compositional data with zero components: 
      An application to fluorescence in situ hybridization (FISH) detection of 
      chromosome.
PG  - 714-732
LID - 10.1002/bimj.202000334 [doi]
AB  - 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.
CI  - (c) 2021 The Authors. Biometrical Journal published by Wiley-VCH GmbH.
FAU - Tang, Man-Lai
AU  - Tang ML
AUID- ORCID: 0000-0003-3934-2676
AD  - Department of Mathematics, College of Engineering, Design & Physical Sciences, 
      Brunel University London, Uxbridge, United Kingdom.
FAU - Wu, Qin
AU  - Wu Q
AUID- ORCID: 0000-0002-9986-7530
AD  - Department of Statistics, School of Mathematical Sciences, South China Normal 
      University, Guangzhou City, Guangdong, P. R. China.
FAU - Yang, Sheng
AU  - Yang S
AD  - Zhongshan People's Hospital, Zhongshan, P. R. China.
FAU - Tian, Guo-Liang
AU  - Tian GL
AD  - Department of Statistics and Data Science, Southern University of Science and 
      Technology, Shenzhen City, Guangdong, P. R. China.
LA  - eng
PT  - Journal Article
PT  - Research Support, Non-U.S. Gov't
DEP - 20211216
PL  - Germany
TA  - Biom J
JT  - Biometrical journal. Biometrische Zeitschrift
JID - 7708048
SB  - IM
MH  - *Algorithms
MH  - *Chromosomes
MH  - Computer Simulation
MH  - In Situ Hybridization, Fluorescence
MH  - Likelihood Functions
MH  - Poisson Distribution
PMC - PMC9300144
OTO - NOTNLM
OT  - Dirichlet distribution
OT  - EM algorithm
OT  - compositional data
OT  - essential zero
OT  - gamma distribution
OT  - rounded zeros
OT  - stochastic representation
COIS- The authors have declared no conflict of interest.
EDAT- 2021/12/17 06:00
MHDA- 2022/04/20 06:00
PMCR- 2022/07/20
CRDT- 2021/12/16 17:28
PHST- 2021/08/24 00:00 [revised]
PHST- 2020/11/09 00:00 [received]
PHST- 2021/08/31 00:00 [accepted]
PHST- 2021/12/17 06:00 [pubmed]
PHST- 2022/04/20 06:00 [medline]
PHST- 2021/12/16 17:28 [entrez]
PHST- 2022/07/20 00:00 [pmc-release]
AID - BIMJ2328 [pii]
AID - 10.1002/bimj.202000334 [doi]
PST - ppublish
SO  - Biom J. 2022 Apr;64(4):714-732. doi: 10.1002/bimj.202000334. Epub 2021 Dec 16.