Publications of Adelchi Azzalini

(Note: more detailed information on material related to the `skew-normal distribution and alike' is available on a separate page )

• Adelchi Azzalini (2023). On the use of ordered factors as explanatory variables. Stat 12:e624. [Open access] DOI: 10.1002/sta4.624

• Stefano Franco and Adelchi Azzalini (2023). The information matrix of the bivariate extended skew-normal distribution. arXiv:2309.10502

• Kesen Wang, Reinaldo B. Arellano-Valle, Adelchi Azzalini and Marc G. Genton (2023). On the non-identifiability of unified skew-normal distributions. Stat 12:e597. DOI: 10.1002/sta4.597

• Marco Zanin, Adelchi Azzalini, Jayamini Ranaweera, Dan Weaving, Joshua Darrall-Jones and Gregory Roe (2023). The contributing external load factors to internal load during small-sided games in professional rugby union players. Frontiers in Sports and Active Living, 5.

• Marco Zanin, Adelchi Azzalini, Jayamini Ranaweera, Kevin Till, Joshua Darrall-Jones and Gregory Roe (2022). Designing a small-sided game to elicit attacking tactical behaviour in professional rugby union forwards. J. Sports Sciences 40, 2304-2314.

• Reinaldo B. Arellano-Valle and Adelchi Azzalini (2022). Some properties of the unified skew-normal distribution. Statistical Papers 63, 461-487. [Open access] Preprint available at arXiv.org:2011.06316 in 2020. Corrigendum in March 2023.

• Adelchi Azzalini (2021). An overview on the progeny of the skew-normal family - A personal perspective. Journal of Multivariate Analysis, 188, 104851.

• Reinaldo B. Arellano-Valle and Adelchi Azzalini (2021). A formulation for continuous mixtures of multivariate normal distributions. Journal of Multivariate Analysis, vol.185, 104780. Preprint available at arXiv.org:2003.13076

• Adelchi Azzalini and Mahdi Salehi (2020). Some computational aspects of maximum likelihood estimation of the skew-t distribution, in Computational and Methodological Statistics and Biostatistics, edited by A. Bekker et al. (p. 3-28). DOI: 10.1007/978-3-030-42196-0_1

• Adelchi Azzalini (2020). Further results on a class of distributions which includes the normal ones – Looking back. Statistica, LXXX, 161-175. Annotations and corrigenda to the 1986 paper with the same root title, in connection with its reprint.

• Chris Adcock and Adelchi Azzalini (2020). A selective overview of skew-elliptical and related distributions and of their applications. Symmetry, 12, 118. DOI: 10.3390/sym12010118.

• Reinaldo B. Arellano-Valle, Adelchi Azzalini, Clécio S. Ferreira and Karol Santoro (2020). A two-piece normal measurement error model. Computational Statistics & Data Analysis 144, 106863. DOI: 10.1016/j.csda.2019.106863.

• Adelchi Azzalini, Hyoung-Moon Kim and Hea-Jung Kim (2019). Sample selection models for discrete and other non-Gaussian response variables . Stat. Methods & Appl., 28:27-56. Available online 30 March 2018. DOI: 10.1007/s10260-018-0427-1

• Mahdi Salehi and Adelchi Azzalini (2018). On application of Kotz distribution and some of its extensions Metron, 76:177-201. DOI: 10.1007/s40300-018-0137-3

• Adelchi Azzalini and Giuliana Regoli (2018). On symmetry-modulated distributions: revisiting an old result and a step further Stat 7:e171. DOI: 10.1002/sta4.171

• Adelchi Azzalini (2016). Combining local and global smoothing in multivariate density estimation. Stat 5:338-348. DOI: 10.1002/sta4.129

• Adelchi Azzalini (2016). Flexible distributions as an approach to robustness: the skew-t case. In: C. Agostinelli, A. Basu, P. Filzmoser and D. Mukherjee, editors, Recent Advances in Robust Statistics: Theory and Applications (pp. 1-16). Proceedings volume of ICORS 2015. Springer India.

• Peter E. Jupp, Giuliana Regoli and Adelchi Azzalini (2016). A general setting for symmetric distributions and their relationship to general distributions. Journal of Multivariate Analysis, 148:107-119. DOI: 10.1016/j.jmva.2016.02.011

• Adelchi Azzalini and Giovanna Menardi (2016). Density-based clustering with non-continuous data. Computational Statistics, 31:771-798. DOI: 10.1007/s00180-016-0644-8.

• Adelchi Azzalini, Ryan P. Browne, Marc G. Genton and Paul D. McNicholas (2016) On nomenclature for, and the relative merits of, two formulations of skew distributions. Statistics & Probability Letters, 110:201-206. Available online 21 December 2015. DOI:10.1016/j.spl.2015.12.008. Publicly available version at http://arxiv.org/abs/1402.5431

• Adelchi Azzalini (2015). Skew-normal family of distributions. In Wiley StatsRef: Statistics Reference Online. J. Wiley & Sons. DOI:10.1002/9781118445112.stat01205.pub2.

• Adelchi Azzalini (2015). A formulation in modal clustering based on upper level sets. In Christian M. Hennig, Marina Meila, Fionn Murtagh and Roberto Rocci, editors, Handbook of Cluster Analysis, chapter 17, pages 361-382. Chapman and Hall/CRC Press.

• Adelchi Azzalini and Marc G. Genton (2015). Discussion of a paper by M. C. Jones. Intern. Statistical Review, 83:198-202. Available online 24 Sept 2014. DOI:10.1111/insr.12072.

• Giovanna Menardi and Adelchi Azzalini (2014). An advancement in clustering via nonparametric density estimation. Statistics & Computing, 24:753-767. DOI:10.1007/s11222-013-9400-x.

• Adelchi Azzalini and Giuliana Regoli (2014). Modulation of symmetry for discrete variables and some extensions. Stat, 3:56-67.

• Adelchi Azzalini and Giovanna Menardi (2014). Clustering via nonparametric density estimation: The R package pdfCluster. J. Statistical Software, 57(11).

• Adelchi Azzalini with the collaboration of Antonella Capitanio (2014). The Skew-Normal and Related Families. IMS monographs. Cambridge University Press, Cambridge, UK.

• Adelchi Azzalini and Reinaldo B. Arellano-Valle (2013). Maximum penalized likelihood estimation for skew-normal and skew-t distributions. J. Stat. Planning & Inference, 143:419-433. DOI:10.1016/j.jspi.2012.06.022.

• Reinaldo B. Arellano-Valle and Adelchi Azzalini (2013). The centred parameterization and related quantities of the skew-t distribution. J. Multiv. Anal., 113:73-90. Online since 12 June 2011. DOI:10.1016/j.jmva.2011.05.016.

• M. Helena Gonçalves, M. Salomé Cabral, and Adelchi Azzalini (2012). The R package 'bild' for the analysis of binary longitudinal data. J. Statistical Software, 46(9).

• Adelchi Azzalini and Bruno Scarpa (2012). Data Analysis and Data Mining: An Introduction. Oxford University Press (USA), New York.

• Adelchi Azzalini and Giuliana Regoli (2012). The work of Fernando de Helguero on non-normality arising from selection. Chilean J. Statist., 3:113-129.

• Adelchi Azzalini and Giuliana Regoli (2012). Some properties of skew-symmetric distributions. Ann. Inst. Statistical Mathematics, pages 857-879. Available online 09 Sept 2011. DOI:10.1007/s10463-011-0338-5.

• Adelchi Azzalini (2012). Selection models under generalized symmetry settings. Ann. Inst. Statistical Mathematics, 64:737-750. Available online 05 March 2011. DOI:10.1007/s10463-011-0328-7.

• Adelchi Azzalini (2011). Skew-symmetric families of distributions. In International Encyclopedia of Statistical Science, volume 19, pages 1344-1346. Springer-Verlag, Heidelberg. DOI:10.1007/978-3-642-04898-2_524.

• Adelchi Azzalini (2011). Skew normal distribution. In International Encyclopedia of Statistical Science, volume 19, pages 1342-1344. Springer-Verlag, Heidelberg. DOI:10.1007/978-3-642-04898-2_523.

• Adelchi Azzalini, Marc G. Genton, and Bruno Scarpa (2010). Invariance-based estimating equations for skew-symmetric distributions. Metron, LXVIII:353-377.

• Adelchi Azzalini and Antonella Bacchieri (2010). A prospective combination of phase II and phase III in drug development. Metron, 68:347-269.

• M. Helena Gonçalves and Adelchi Azzalini (2008). Using Markov chains for marginal modelling for binary longitudinal data in an exact likelihood approach. Metron, LXVI:157-181.

• Adelchi Azzalini and Marc G. Genton (2008). Robust likelihood methods based on the skew-t and related distributions. Int. Stat. Rev., 76:106-129. DOI:10.1111/j.1751-5823.2007.00016.x.

• Adelchi Azzalini (2008). Discussion: The t family and their close and distant relations. J. Korean Statistical Society, 37:303-304. Comments to the discussion paper by M. C. Jones.

• Reinaldo B. Arellano-Valle and Adelchi Azzalini (2008). The centred parametrization for the multivariate skew-normal distribution. J. Multiv. Anal., 99:1362-1382. Corrigendum at vol. 100 (2009), p. 816. DOI:10.1016/j.jmva.2008.01.020.

• Adelchi Azzalini and Nicola Torelli (2007). Clustering via nonparametric density estimation. Statistics & Computing, 17:71-80. DOI:10.1007/s11222-006-9010-y.

• Adelchi Azzalini and Marc G. Genton (2007). On Gauss's characterization of the normal distribution. Bernoulli, 13:169-174. DOI:10.3150/07-BEJ5166.

• J. R. Crawford, P. H. Garthwaite, A. Azzalini, D. C. Howell, and K. R. Laws. Testing for a deficit in single-case studies: effect of departures from normality. Neuropsychologia, 44:666-677. DOI:10.1016/j.neuropsychologia.2005.06.001.

• Adelchi Azzalini (2006). Some recent depelopments in the theory of distributions and their applications. In Atti della XLIII Riuninone Scientifica, Società Italiana di Statistica, volume Sessioni plenarie, pages 51-64, Padova, Italia, 2006. CLEUP. Torino, 14-16 giugno 2006.

• Adelchi Azzalini (2006). Skew-normal family of distributions. In Encyclopedia of Statistical Sciences, volume 12, pages 7780-7785. J. Wiley & Sons, New York, 2nd edition.

• Reinaldo B. Arellano-Valle and Adelchi Azzalini (2006). On the unification of families of skew-normal distributions. Scand. J. Stat., 33:561-574. DOI:10.1111/j.1467-9469.2006.00503.x. Corrigendum in vol. 49 (2022), 1418--1419.

• Adelchi Azzalini (2005). The skew-normal distribution and related multivariate families (with discussion). Scand. J. Stat., 32:159-188. DOI:10.1111/j.1467-9469.2005.00426.x.

• Adelchi Azzalini (2005). Rejoinder. Scand. J. Stat., pages 199-200. Rejoinder to the discussion of the author's paper (pp. 159-188). DOI:10.1111/j.1467-9469.2005.00428.x.

• Adelchi Azzalini (2005). Book review: «In All Likelihood» by Yudi Pawitan. Stat. Medicine, 24:157-158.

• Adelchi Azzalini and Bruno Scarpa (2004). Analisi dei dati e data mining. Springer-Verlag Italia, Milano.

• Adelchi Azzalini and Monica Chiogna (2004). Some results on the stress-strength model for skew-normal variates. Metron, LXII:315-326.

• Antonella Capitanio, Adelchi Azzalini, and Elena Stanghellini (2003). Graphical models for skew-normal variates. Scand. J. Stat., 30:129-144. DOI:10.1111/1467-9469.00322.

• Adrian W. Bowman and Adelchi Azzalini (2003). Computational aspects of nonparametric smoothing with illustrations from the `sm' library. Computational Statistics & Data Analysis, 42:545-560.

• Adelchi Azzalini, Tomas Dal Cappello, and Samuel Kotz (2003). Log-skew-normal and log-skew-t distributions as models for family income data. J. Income Distribution, 11:13-21.

• Adelchi Azzalini and Antonella Capitanio (2003). Distributions generated by perturbation of symmetry with emphasis on a multivariate skew-t distribution. J. Roy. Stat. Soc., ser. B, 65:367-389. Full-length paper at arxiv:0911.2342

• Adelchi Azzalini (2002). Comment on `Skewed multivariate models related to hidden truncation and/or selective reporting'. Test, 11:36-36.

• Adelchi Azzalini (2001). «Statistical Inference: an Integrated Approach» by H. S. Migon and O. Gamerman. Stat. in Medicine, 20:1305-1305.

• Adelchi Azzalini (2001). A note on regions of given probability of the skew-normal distribution. Metron, 59:27-34.

• Adelchi Azzalini (2001). Inferenza statistica, una presentazione basata sul concetto di verosimiglianza, 2$^a$ edizione. Springer-Verlag Italia, Milano.

• Adelchi Azzalini and Peter Hall (2000). Reducing variability by using bootstrap methods with qualitative constraints. Biometrika, 87:895-906.

• Adelchi Azzalini and Antonella Capitanio (1999). Statistical applications of the multivariate skew normal distribution. J. Roy. Stat. Soc., ser. B, 61:579-602. Full-length paper at arXiv:0911.2093

• Adelchi Azzalini (1999). Salvan test for normality. In Encyclopedia of Statistical Sciences, update volume 3, page 551. J. Wiley & Sons, New York, USA, 1999.

• Adelchi Azzalini. The matrix inversion lemma. In Encyclopedia of Statistical Sciences, update volume 3, pages 440-441. J. Wiley & Sons, New York. Reprinted in volume 7, pp. 4612-3, of the second edition of the work (2006).

• Adelchi Azzalini (1999). Some preliminary remarks on the `audit report'. Technical Report ISIS/SAIA/146/99, Joint Research Centre of the European Commission.

• Adelchi Azzalini (1999). Bayesian methods for auditing with a scheme for recursive updates. Technical Report ISIS/SAIA/147/99, Joint Research Centre of the European Commission.

• Adelchi Azzalini (1999). Comparison of methods for confidence intervals in audit problems. Technical Report ISIS/SAIA/148/99, Joint Research Centre of the European Commission.

• Adelchi Azzalini (1999). Combination of multiple sites auditing: a Bayesian approach. Technical Report ISIS/SAIA/149/99, Joint Research Centre of the European Commission.

• Adelchi Azzalini (1998). Checking the validity of parametric models using nonparametric estimation: the PLRT approach. In 30th Symposium on the Interface: Computing Science and Statistics, volume 30, pages 383-390.

• Adrian W. Bowman and Adelchi Azzalini (1997). Applied Smoothing Techniques for Data Analysis: The Kernel Approach With S-Plus Illustrations. Oxford University Press, Oxford.

• Adelchi Azzalini and Monica Chiogna (1997). S-plus tools for the analysis of repeated measures data. Computational Statistics, 12:53-66.

• Adelchi Azzalini and Alessandra Salvan (1996). Apppunti di algebra lineare. Edizioni Cortina, Padova.

• Adelchi Azzalini, Luigi Pace, and Alessandra Salvan (1996). Metodi asintotici per l'inferenza basata sulla verosimiglianza. In Atti della XXXVIII Riunione scientifica, Società Italiana di Statistica, volume 1, pages 295-306. Maggioli Editore.

• Adelchi Azzalini and Alessandra Dalla Valle (1996). The multivariate skew-normal distribution. Biometrika, 83:715-726.

• Adelchi Azzalini (1996). Statistical Inference: Based on the Likelihood. Chapman & Hall, London.

• Adelchi Azzalini and Peter J. Diggle (1994). Prediction of soil respiration rates from temperature, moisture content and soil type. J. Roy. Stat. Soc., ser. C (Appl.Stat.), 43:505-526.

• Adelchi Azzalini (1994). Logistic regression for autocorrelated data with application to repeated measures. Biometrika, 81:767-775. Corrigendum: vol. 84 (1997), p. 989.

• Adelchi Azzalini (1994). Logistic regression and other discrete data models for serially correlated observations. J. Italian Statistical Society, 3:169-179.

• Marco Minozzo and Adelchi Azzalini (1993). On the unimodality of the exact likelihood function for normal AR(2) series. J. Time Series Analysis, 14:497-509.

• Adelchi Azzalini and Adrian W. Bowman (1993). On the use of nonparametric regression for checking linear relationships. J. Roy. Stat. Soc., ser. B, 55:549-557.

• Claudio Capiluppi and Adelchi Azzalini (1992). META plus GLIM, an extended data analysis environment. In Statistical modelling, pages 35-43. North-Holland, Amsterdam.

• Adelchi Azzalini and D. M. Titterington (1992). Contribution to the discussion of a paper by Hall & Johnston. J. Roy. Stat. Soc., ser. B, 54:517-518.

• Adelchi Azzalini and Anna Chiara Frigo (1991). An explicit nearly unbiased estimate of the AR(1) parameter for repeated measurements. J. Time Series Analysis, 12:273-281.

• Adelchi Azzalini and Adrian W. Bowman (1991). Nonparametric regression methods for repeated measurements. In Nonparametric Functional Estimation and Related Topics, volume NATO ASI series C, No. 335, pages 377-387. Kluwer Academic Publishers, Dordrecht, NL.

• Adelchi Azzalini and Adrian W. Bowman (1990). A look at some data on the Old Faithful Geyser. J. Roy. Stat. Soc., ser. C (Appl.Stat.), 39:357-365. ISSN 0035-9254.

• Adelchi Azzalini, Adrian W. Bowman, and Wolfgang Härdle (1989). On the use of nonparametric regression for model checking. Biometrika, 76:1-11.

• Adelchi Azzalini (1989). An analysis of variance table for repeated measurements with unknown autoregressive parameter. J. Roy. Stat. Soc., ser. C (Appl.Stat.), 38:402-411.

• Adelchi Azzalini and Alessandra Giovagnoli (1987). Some optimal designs for repeated measurements with autoregressive errors. Biometrika, 74:725-734.

• Adelchi Azzalini (1987). Growth curves analysis for patterned covariance matrices. In M. L. Puri, J. P. Vilaplana and W. Wertz, editors, New Perspectives in Theoretical and Applied Statistics, pages 63-74. J. Wiley & Sons, New York, USA,.

• Adelchi Azzalini (1986). Further results on a class of distributions which includes the normal ones. Statistica, XLVI:199-208.

• Adelchi Azzalini (1986). Alcuni risultati sull'effetto dell'autocorrelazione quando i dati sono ritenuti indipendenti. In Scritti in onore di Francesco Brambilla, volume I, pages 1-9. Bocconi Comunicazione, Milano, Italia.

• Adelchi Azzalini (1985). A class of distributions which includes the normal ones. Scand. J. Stat., 12:171-178.

• Adelchi Azzalini and David R. Cox (1984). Two new tests associated with analysis of variance. J. Roy. Stat. Soc., ser. B, 46:335-343.

• Adelchi Azzalini (1984). A Markov process with Beta marginal distribution. Statistica, XLIV, 241-243.

• Adelchi Azzalini (1984). Estimation and hypothesis testing for collections of autoregressive time series. Biometrika, 71:85-90. Corrigendum at vol. 74 (1987), p. 667.

• Adelchi Azzalini (1983). Maximum likelihood estimation of order m for stationary stochastic processes. Biometrika, 70:381-387.

• Adelchi Azzalini (1982). Approximate filtering of parameter driven processes. J. Time Series Analysis, 3:219-223.

• Adelchi Azzalini and Giancarlo Diana (1981). The distribution of Kolmogorov's statistic for discrete variates. Metron, 39:133-140.

• Adelchi Azzalini (1981). Replicated observations of low order autoregressive time series. J. Time Series Analysis, 2:63-70.

• Adelchi Azzalini (1981). A note on the estimation of a distribution function and quantiles by a kernel method. Biometrika, 68:326-328.

• Adelchi Azzalini, G. Diana, and P. Iannotta (1978). Analisi statistica di generatori di numeri pseudo-casuali. L'Elaborazione Automatica, 2:121-144.

• Adelchi Azzalini and Fortunato Pesarin (1976). Verifica d'ipotesi statistica non parametrica. L'Elaborazione Automatica, 2(53-77).