The generalized Birnbaum-Saunders distribution and its theory, methodology, and application

Sanhueza, A; Leiva V.; Balakrishnan N.

Abstract

In this paper, we discuss the class of generalized Birnbaum-Saunders distributions, which is a very flexible family suitable for modeling lifetime data as it allows for different degrees of kurtosis and asymmetry and unimodality as well as bimodality. We describe the theoretical developments on this model including properties, transformations and related distributions, lifetime analysis, and shape analysis. We also discuss methods of inference based on uncensored and censored data, diagnostics methods, goodness-of-fit tests, and random number generation algorithms for the generalized Birnbaum-Saunders model. Finally, we present some illustrative examples and show that this distribution fits the data better than the classical Birnbaum-Saunders model.

Más información

Título según WOS: The generalized Birnbaum-Saunders distribution and its theory, methodology, and application
Título según SCOPUS: The generalized birnbaum-saunders distribution and its theory, methodology, and application
Título de la Revista: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volumen: 37
Número: 5
Editorial: TAYLOR & FRANCIS INC
Fecha de publicación: 2008
Página de inicio: 645
Página final: 670
Idioma: English
URL: http://www.tandfonline.com/doi/abs/10.1080/03610920701541174
DOI:

10.1080/03610920701541174

Notas: ISI, SCOPUS