Discussion
When is the slope heuristic useful?
[Quand l’heuristique de pente est-elle utile ?]
Journal de la société française de statistique, Minimal penalties and the slope heuristics: a survey, Tome 160 (2019) no. 3, pp. 117-118. 
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     author = {Celeux, Gilles},
     title = {When is the slope heuristic useful?},
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     volume = {160},
     number = {3},
     year = {2019},
     mrnumber = {4021413},
     zbl = {1431.62002},
     language = {en},
     url = {http://www.numdam.org/item/JSFS_2019__160_3_117_0/}
}
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Celeux, Gilles. When is the slope heuristic useful?. Journal de la société française de statistique, Minimal penalties and the slope heuristics: a survey, Tome 160 (2019) no. 3, pp. 117-118. http://www.numdam.org/item/JSFS_2019__160_3_117_0/

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[2] Biernacki, C.; Celeux, G.; Govaert, G. Assessing a mixture model for clustering with the integrated completed likelihood, IEEE Transaction on PAMI, Volume 22 (2000), pp. 719-725

[3] Box, G.E.P. Science and Statistics, Journal of the American Statistical Association, Volume 71 (1976), pp. 791-799 | MR | Zbl

[4] Gallopin, M.; Celeux, G.; Jaffrezic, F.; Rau, A. A model selection criterion for model-based clustering of annotated gene expression data, Stat Appl Genet Mol Biol, Volume 14 (2015), pp. 413-428 | MR | Zbl

[5] Keribin, C. A note on BIC and the slope heuristic; Discussion on “Minimal penalties and the slope heuristic: a survey” by Sylvain Arlot, Journal de la Société française de statistique, Volume 160:2 (2019) | Numdam | Zbl

[6] Rau, Andrea; Maugis-Rabusseau, Cathy; Martin-Magniette, Marie-Laure; Celeux, Gilles Co-expression analysis of high-throughput transcriptome sequencing data with Poisson mixture models, Bioinformatics, Volume 31 (2015) no. 9, pp. 1420-1427