Arnold, Barry C.Barry C.ArnoldGomez, Hector W.Hector W.GomezSalinas, Hugo S.Hugo S.Salinas2025-12-302025-12-3020091029-4910https://hdl.handle.net/20.500.12740/23763The Azzalini [A. Azzalini, A class of distributions which includes the normal ones, Scandi. J. Statist. 12 (1985), pp. 171-178.] skew normal model can be viewed as one involving normal components subject to a single linear constraint. As a natural extension of this model, we discuss skewed models involving multiple linear and nonlinear constraints and possibly non-normal components. Particular attention is devoted to a distribution called the extended two-piece normal (ETN) distribution. This model is a two-constraint extension of the two-piece normal model introduced by Kim [H.J. Kim, On a class of two-piece skew normal distributions, Statistics 39(6) (2005), pp. 537-553.]. Likelihood inference for the ETN distribution is developed and illustrated using two data sets.Acceso Abiertotwo-piece skew normalmultiple constraintsskew normalmaximum likelihoodinformation matrixhttp://dx.doi.org/10.1080/02331880802357914