An R implementation for generalized Birnbaum-Saunders distributions. The Birnbaum-Saunders (BS) model is a positively skewed statistical distribution that has received great attention in recent decades. A generalized version of this model was derived based on symmetrical distributions in the real line named the generalized BS (GBS) distribution. The R package named gbs was developed to analyze data from GBS models. This package contains probabilistic and reliability indicators and random number generators from GBS distributions. Parameter estimates for censored and uncensored data can also be obtained by means of likelihood methods from the gbs package. Goodness-of-fit and diagnostic methods were also implemented in this package in order to check the suitability of the GBS models. In this article, the capabilities and features of the gbs package are illustrated by using simulated and real data sets. Shape and reliability analyses for GBS models are presented. A simulation study for evaluating the quality and sensitivity of the estimation method developed in the package is provided and discussed. (Source:

References in zbMATH (referenced in 10 articles , 1 standard article )

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  1. Halpern, F.D.; Ricci, P.; Jolliet, S.; Loizu, J.; Morales, J.; Mosetto, A.; Musil, F.; Riva, F.; Tran, T.M.; Wersal, C.: The GBS code for tokamak scrape-off layer simulations (2016)
  2. Wang, Min; Sun, Xiaoqian; Park, Chanseok: Bayesian analysis of Birnbaum-Saunders distribution via the generalized ratio-of-uniforms method (2016)
  3. Zougab, Nabil; Adjabi, Smail: Multiplicative bias correction for generalized Birnbaum-Saunders kernel density estimators and application to nonnegative heavy tailed data (2016)
  4. Owen, William Jason; Tony Ng, Hon Keung: Revisit of relationships and models for the Birnbaum-Saunders and inverse-Gaussian distributions (2015)
  5. Sánchez, Luis; Leiva, Víctor; Caro-Lopera, Francisco J.; Cysneiros, Francisco José A.: On matrix-variate Birnbaum-Saunders distributions and their estimation and application (2015)
  6. Zhu, Xiaojun; Balakrishnan, N.: Birnbaum-Saunders distribution based on Laplace kernel and some properties and inferential issues (2015)
  7. Azevedo, Cecilia; Leiva, Víctor; Athayde, Emilia; Balakrishnan, Narayanaswamy: Shape and change point analyses of the Birnbaum-Saunders-$t$ hazard rate and associated estimation (2012)
  8. Li, Ai-Ping; Xie, Feng-Chang: Diagnostics for a class of survival regression models with heavy-tailed errors (2012)
  9. Barros, Michelli; Galea, Manuel; González, Manuel; Leiva, Víctor: Influence diagnostics in the Tobit censored response model (2010)
  10. Barros, Michelli; Paula, Gilberto A.; Leiva, Víctor: An R implementation for generalized Birnbaum-Saunders distributions (2009)