{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,11,6]],"date-time":"2024-11-06T05:34:17Z","timestamp":1730871257022,"version":"3.28.0"},"reference-count":61,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2024,4,1]],"date-time":"2024-04-01T00:00:00Z","timestamp":1711929600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2023,12,8]],"date-time":"2023-12-08T00:00:00Z","timestamp":1701993600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","award":["RGPIN-2017-04676"],"id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003407","name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","doi-asserted-by":"publisher","award":["2022XRHT8R"],"id":[{"id":"10.13039\/501100003407","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100024370","name":"Ministero dell'Istruzione dell'Universita e della Ricerca","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100024370","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["2209974"],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Computational Statistics & Data Analysis"],"published-print":{"date-parts":[[2024,4]]},"DOI":"10.1016\/j.csda.2023.107909","type":"journal-article","created":{"date-parts":[[2023,12,12]],"date-time":"2023-12-12T17:54:26Z","timestamp":1702403666000},"page":"107909","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":1,"special_numbering":"C","title":["A Laplace-based model with flexible tail behavior"],"prefix":"10.1016","volume":"192","author":[{"given":"Cristina","family":"Tortora","sequence":"first","affiliation":[]},{"given":"Brian C.","family":"Franczak","sequence":"additional","affiliation":[]},{"given":"Luca","family":"Bagnato","sequence":"additional","affiliation":[]},{"given":"Antonio","family":"Punzo","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"year":"2018","series-title":"R: A Language and Environment for Statistical Computing","key":"10.1016\/j.csda.2023.107909_br0230"},{"key":"10.1016\/j.csda.2023.107909_br0240","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1017\/S0370164600022070","article-title":"On Bernoulli's numerical solution of algebraic equations","volume":"46","author":"Aitken","year":"1926","journal-title":"Proc. R. Soc. Edinb."},{"issue":"3","key":"10.1016\/j.csda.2023.107909_br0040","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1080\/00401706.1980.10486163","article-title":"Mixture models, outliers, and the EM algorithm","volume":"22","author":"Aitkin","year":"1980","journal-title":"Technometrics"},{"issue":"6","key":"10.1016\/j.csda.2023.107909_br0510","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1109\/TAC.1974.1100705","article-title":"A new look at the statistical model identification","volume":"19","author":"Akaike","year":"1974","journal-title":"IEEE Trans. Autom. Control"},{"issue":"2","key":"10.1016\/j.csda.2023.107909_br0220","doi-asserted-by":"crossref","first-page":"1177","DOI":"10.1007\/s00180-020-01041-8","article-title":"Unconstrained representation of orthogonal matrices with application to common principal components","volume":"36","author":"Bagnato","year":"2021","journal-title":"Comput. Stat."},{"issue":"6","key":"10.1016\/j.csda.2023.107909_br0540","doi-asserted-by":"crossref","first-page":"1471","DOI":"10.1080\/03610918.2012.735318","article-title":"On the spectral decomposition in normal discriminant analysis","volume":"43","author":"Bagnato","year":"2014","journal-title":"Commun. Stat., Simul. Comput."},{"issue":"1","key":"10.1016\/j.csda.2023.107909_br0420","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1002\/cjs.11308","article-title":"The multivariate leptokurtic-normal distribution and its application in model-based clustering","volume":"45","author":"Bagnato","year":"2017","journal-title":"Can. J. Stat."},{"key":"10.1016\/j.csda.2023.107909_br0400","first-page":"1","article-title":"The generalized hyperbolic family and automatic model selection through the multiple-choice LASSO","author":"Bagnato","year":"2023","journal-title":"Stat. Anal. Data Min."},{"issue":"1674","key":"10.1016\/j.csda.2023.107909_br0570","first-page":"401","article-title":"Exponentially decreasing distributions for the logarithm of particle size","volume":"353","author":"Barndorff-Nielsen","year":"1977","journal-title":"Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci."},{"issue":"3","key":"10.1016\/j.csda.2023.107909_br0580","first-page":"151","article-title":"Hyperbolic distributions and distributions on hyperbolae","volume":"5","author":"Barndorff-Nielsen","year":"1978","journal-title":"Scand. J. Stat."},{"issue":"2","key":"10.1016\/j.csda.2023.107909_br0010","doi-asserted-by":"crossref","first-page":"145","DOI":"10.2307\/1402598","article-title":"Normal variance-mean mixtures and z distributions","volume":"50","author":"Barndorff-Nielsen","year":"1982","journal-title":"Int. Stat. Rev. \/ Rev. Int. Stat."},{"year":"1978","series-title":"The shape of the generalized inverse Gaussian and hyperbolic distributions","author":"Bl\u00e6sild","key":"10.1016\/j.csda.2023.107909_br0590"},{"issue":"1","key":"10.1016\/j.csda.2023.107909_br0340","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1111\/1467-9868.00176","article-title":"Maximizing generalized linear mixed model likelihoods with an automated Monte Carlo EM algorithm","volume":"61","author":"Booth","year":"1999","journal-title":"J. R. Stat. Soc., Ser. B, Stat. Methodol."},{"issue":"2","key":"10.1016\/j.csda.2023.107909_br0300","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1002\/cjs.11246","article-title":"A mixture of generalized hyperbolic distributions","volume":"43","author":"Browne","year":"2015","journal-title":"Can. J. Stat."},{"key":"10.1016\/j.csda.2023.107909_br0440","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1016\/j.csda.2011.06.026","article-title":"Multivariate mixture modelling using skew-normal independent distributions","volume":"56","author":"Cabral","year":"2012","journal-title":"Comput. Stat. Data Anal."},{"issue":"425","key":"10.1016\/j.csda.2023.107909_br0310","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1080\/01621459.1994.10476467","article-title":"An application of the Laplace method to finite mixture distributions","volume":"89","author":"Crawford","year":"1994","journal-title":"J. Am. Stat. Assoc."},{"issue":"423","key":"10.1016\/j.csda.2023.107909_br0050","doi-asserted-by":"crossref","first-page":"782","DOI":"10.1080\/01621459.1993.10476339","article-title":"The identification of multiple outliers","volume":"88","author":"Davies","year":"1993","journal-title":"J. Am. Stat. Assoc."},{"issue":"1","key":"10.1016\/j.csda.2023.107909_br0170","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.2517-6161.1977.tb01600.x","article-title":"Maximum likelihood from incomplete data via the EM algorithm","volume":"39","author":"Dempster","year":"1977","journal-title":"J. R. Stat. Soc. B"},{"author":"Flury","key":"10.1016\/j.csda.2023.107909_br0360"},{"article-title":"A First Course in Multivariate Statistics","year":"2013","author":"Flury","key":"10.1016\/j.csda.2023.107909_br0370"},{"issue":"6","key":"10.1016\/j.csda.2023.107909_br0070","doi-asserted-by":"crossref","first-page":"971","DOI":"10.1007\/s11222-013-9414-4","article-title":"A new family of multivariate heavy-tailed distributions with variable marginal amounts of tailweights: application to robust clustering","volume":"24","author":"Forbes","year":"2014","journal-title":"Stat. Comput."},{"issue":"6","key":"10.1016\/j.csda.2023.107909_br0110","doi-asserted-by":"crossref","first-page":"1149","DOI":"10.1109\/TPAMI.2013.216","article-title":"Mixtures of shifted asymmetric Laplace distributions","volume":"36","author":"Franczak","year":"2014","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"10.1016\/j.csda.2023.107909_br0060","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/j.patrec.2015.02.011","article-title":"Unsupervised learning via mixtures of skewed distributions with hypercube contours","volume":"58","author":"Franczak","year":"2015","journal-title":"Pattern Recognit. Lett."},{"year":"2006","series-title":"Finite Mixture and Markov Switching Models","author":"Fr\u00fchwirth-Schnatter","key":"10.1016\/j.csda.2023.107909_br0320"},{"key":"10.1016\/j.csda.2023.107909_br0200","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1093\/biomet\/40.3-4.237","article-title":"The population frequencies of species and the estimation of population parameters","volume":"40","author":"Good","year":"1953","journal-title":"Biometrika"},{"issue":"3","key":"10.1016\/j.csda.2023.107909_br0530","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1080\/00031305.2013.791643","article-title":"Closed likelihood ratio testing procedures to assess similarity of covariance matrices","volume":"67","author":"Greselin","year":"2013","journal-title":"Am. Stat."},{"key":"10.1016\/j.csda.2023.107909_br0520","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1007\/s10260-010-0157-5","article-title":"Assessing the pattern of covariance matrices via an augmentation multiple testing procedure","volume":"20","author":"Greselin","year":"2011","journal-title":"Stat. Methods Appl."},{"key":"10.1016\/j.csda.2023.107909_br0600","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1007\/BF00533246","article-title":"Self-decomposibility of the generalized inverse Gaussian and hyperbolic distributions","volume":"47","author":"Halgreen","year":"1979","journal-title":"Z. Wahrscheinlichkeitstheor. Verw. Geb."},{"year":"1982","series-title":"Statistical Properties of the Generalized Inverse Gaussian Distribution","author":"J\u00f8rgensen","key":"10.1016\/j.csda.2023.107909_br0210"},{"author":"Korkmaz","key":"10.1016\/j.csda.2023.107909_br0380"},{"year":"2001","series-title":"The Laplace Distribution and Generalizations: A Revisit with Applications to Communications, Economics, Engineering, and Finance","author":"Kotz","key":"10.1016\/j.csda.2023.107909_br0020"},{"key":"10.1016\/j.csda.2023.107909_br0140","series-title":"New Statistical Developments in Data Science","first-page":"373","article-title":"Modeling household income with contaminated unimodal distributions","volume":"vol. 88","author":"Mazza","year":"2019"},{"year":"2007","series-title":"The EM Algorithm and Extensions","author":"McLachlan","key":"10.1016\/j.csda.2023.107909_br0190"},{"key":"10.1016\/j.csda.2023.107909_br0180","first-page":"658","article-title":"Robust Cluster Analysis via Mixtures of Multivariate T-Distributions","volume":"vol. 1451","author":"McLachlan","year":"1998"},{"article-title":"Quantitative Risk Management: Concepts, Techniques and Tools","year":"2005","author":"McNeil","key":"10.1016\/j.csda.2023.107909_br0390"},{"issue":"3","key":"10.1016\/j.csda.2023.107909_br0250","doi-asserted-by":"crossref","first-page":"711","DOI":"10.1016\/j.csda.2009.02.011","article-title":"Serial and parallel implementations of model-based clustering via parsimonious Gaussian mixture models","volume":"54","author":"McNicholas","year":"2010","journal-title":"Comput. Stat. Data Anal."},{"issue":"2","key":"10.1016\/j.csda.2023.107909_br0330","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1002\/wics.1248","article-title":"Challenges in model-based clustering","volume":"5","author":"Melnykov","year":"2013","journal-title":"Wiley Interdiscip. Rev.: Comput. Stat."},{"key":"10.1016\/j.csda.2023.107909_br0130","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/s00180-020-01009-8","article-title":"Transformation mixture modeling for skewed data groups with heavy tails and scatter","volume":"36","author":"Melnykov","year":"2021","journal-title":"Comput. Stat."},{"key":"10.1016\/j.csda.2023.107909_br0030","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/j.csda.2018.12.001","article-title":"Asymmetric clusters and outliers: mixtures of multivariate contaminated shifted asymmetric Laplace distributions","volume":"132","author":"Morris","year":"2019","journal-title":"Comput. Stat. Data Anal."},{"issue":"6","key":"10.1016\/j.csda.2023.107909_br0410","doi-asserted-by":"crossref","first-page":"1525","DOI":"10.1002\/bimj.201900248","article-title":"Allometric analysis using the multivariate shifted exponential normal distribution","volume":"62","author":"Punzo","year":"2020","journal-title":"Biom. J."},{"key":"10.1016\/j.csda.2023.107909_br0160","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/j.physa.2020.125354","article-title":"Modeling the cryptocurrency return distribution via Laplace scale mixtures","volume":"563","author":"Punzo","year":"2021","journal-title":"Phys. A, Stat. Mech. Appl."},{"issue":"1","key":"10.1016\/j.csda.2023.107909_br0260","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/00949655.2020.1805451","article-title":"The multivariate tail-inflated normal distribution and its application in finance","volume":"91","author":"Punzo","year":"2021","journal-title":"J. Stat. Comput. Simul."},{"issue":"1","key":"10.1016\/j.csda.2023.107909_br0080","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1515\/ijb-2020-0059","article-title":"Multiple scaled symmetric distributions in allometric studies","volume":"18","author":"Punzo","year":"2022","journal-title":"Int. J. Biostat."},{"author":"Punzo","key":"10.1016\/j.csda.2023.107909_br0290"},{"issue":"6","key":"10.1016\/j.csda.2023.107909_br0430","doi-asserted-by":"crossref","first-page":"1506","DOI":"10.1002\/bimj.201500144","article-title":"Parsimonious mixtures of multivariate contaminated normal distributions","volume":"58","author":"Punzo","year":"2016","journal-title":"Biom. J."},{"issue":"4","key":"10.1016\/j.csda.2023.107909_br0100","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1177\/1471082X19890935","article-title":"Multiple scaled contaminated normal distribution and its application in clustering","volume":"21","author":"Punzo","year":"2021","journal-title":"Stat. Model."},{"issue":"14","key":"10.1016\/j.csda.2023.107909_br0550","doi-asserted-by":"crossref","first-page":"2797","DOI":"10.1080\/00949655.2015.1131282","article-title":"Hypothesis testing for mixture model selection","volume":"86","author":"Punzo","year":"2016","journal-title":"J. Stat. Comput. Simul."},{"author":"Punzo","key":"10.1016\/j.csda.2023.107909_br0460"},{"issue":"10","key":"10.1016\/j.csda.2023.107909_br0470","doi-asserted-by":"crossref","first-page":"1","DOI":"10.18637\/jss.v085.i10","article-title":"ContaminatedMixt: an R package for fitting parsimonious mixtures of multivariate contaminated normal distributions","volume":"85","author":"Punzo","year":"2018","journal-title":"J. Stat. Softw."},{"issue":"3","key":"10.1016\/j.csda.2023.107909_br0350","doi-asserted-by":"crossref","first-page":"668","DOI":"10.1080\/10618600.2019.1696208","article-title":"Classification with the matrix-variate-t distribution","volume":"29","author":"Thompson","year":"2020","journal-title":"J. Comput. Graph. Stat."},{"issue":"13\u201315","key":"10.1016\/j.csda.2023.107909_br0150","doi-asserted-by":"crossref","first-page":"2328","DOI":"10.1080\/02664763.2020.1789076","article-title":"Dichotomous unimodal compound models: application to the distribution of insurance losses","volume":"47","author":"Tomarchio","year":"2020","journal-title":"J. Appl. Stat."},{"issue":"1","key":"10.1016\/j.csda.2023.107909_br0560","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/s11634-021-00476-1","article-title":"Model-based clustering and outlier detection with missing data","volume":"16","author":"Tong","year":"2022","journal-title":"Adv. Data Anal. Classif."},{"key":"10.1016\/j.csda.2023.107909_br0610","first-page":"1","article-title":"Missing values and directional outlier detection in model-based clustering","volume":"online","author":"Tong","year":"2023","journal-title":"J. Classif."},{"key":"10.1016\/j.csda.2023.107909_br0280","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1007\/s00357-019-09319-3","article-title":"A mixture of coalesced generalized hyperbolic distributions","volume":"36","author":"Tortora","year":"2019","journal-title":"J. Classif."},{"issue":"3","key":"10.1016\/j.csda.2023.107909_br0500","doi-asserted-by":"crossref","first-page":"1","DOI":"10.18637\/jss.v098.i03","article-title":"Model-based clustering, classification, and discriminant analysis using the generalized hyperbolic distribution: MixGHD R package","volume":"98","author":"Tortora","year":"2021","journal-title":"J. Stat. Softw."},{"author":"Tortora","key":"10.1016\/j.csda.2023.107909_br0490"},{"author":"Tortora","key":"10.1016\/j.csda.2023.107909_br0480"},{"key":"10.1016\/j.csda.2023.107909_br0120","series-title":"Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling","first-page":"448","article-title":"A survey of sampling from contaminated distributions","author":"Tukey","year":"1960"},{"key":"10.1016\/j.csda.2023.107909_br0270","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.spl.2014.06.010","article-title":"A note on the identifiability of nonparametric and semiparametric mixtures of GLMs","volume":"93","author":"Wang","year":"2014","journal-title":"Stat. Probab. Lett."},{"author":"Weibel","key":"10.1016\/j.csda.2023.107909_br0450"},{"key":"10.1016\/j.csda.2023.107909_br0090","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/j.csda.2015.04.008","article-title":"Location and scale mixtures of Gaussians with flexible tail behaviour: properties, inference and application to multivariate clustering","volume":"90","author":"Wraith","year":"2015","journal-title":"Comput. Stat. Data Anal."}],"container-title":["Computational Statistics & Data Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167947323002207?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167947323002207?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,11,5]],"date-time":"2024-11-05T20:58:17Z","timestamp":1730840297000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167947323002207"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4]]},"references-count":61,"alternative-id":["S0167947323002207"],"URL":"https:\/\/doi.org\/10.1016\/j.csda.2023.107909","relation":{},"ISSN":["0167-9473"],"issn-type":[{"type":"print","value":"0167-9473"}],"subject":[],"published":{"date-parts":[[2024,4]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A Laplace-based model with flexible tail behavior","name":"articletitle","label":"Article Title"},{"value":"Computational Statistics & Data Analysis","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.csda.2023.107909","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2023 The Author(s). Published by Elsevier B.V.","name":"copyright","label":"Copyright"}],"article-number":"107909"}}