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A note on the likelihood and moments of the skew-normal distribution.

Eliseo Martínez;  Héctor Varela;  Héctor W. Gómez;  Heleno Bolfarine — 2008

SORT

In this paper an alternative approach to the one in Henze (1986) is proposed for deriving the odd moments of the skew-normal distribution considered in Azzalini (1985). The approach is based on a Pascal type triangle, which seems to greatly simplify moments computation. Moreover, it is shown that the likelihood equation for estimating the asymmetry parameter in such model is generated as orthogonal functions to the sample vector. As a consequence, conditions for a unique solution of the likelihood...

Influence diagnostics in exponentiated-Weibull regression models with censored data.

Edwin M. M. Ortega;  Vicente G. Cancho;  Heleno Bolfarine — 2006

SORT

Diagnostic methods have been an important tool in regression analysis to detect anomalies, such as departures from the error assumptions and the presence of outliers and influential observations with the fitted models. The literature provides plenty of approaches for detecting outlying or influential observations in data sets. In this paper, we follow the local influence approach (Cook 1986) in detecting influential observations with exponentiated-Weibull regression models. The relevance of the...

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