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 25 articles , 1 standard article )

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  1. Wang, Ronghua; Gu, Beiqing; Xu, Xiaoling: Statistical analysis of progressive stress accelerated life test for the product of two-parameter Laplace BS fatigue life distribution under inverse power law model (2020)
  2. Balakrishnan, N.; Kundu, Debasis: Birnbaum-Saunders distribution: a review of models, analysis, and applications (2019)
  3. Zhu, Xiaojun; Balakrishnan, N.; Saulo, Helton: On the existence and uniqueness of the maximum likelihood estimates of parameters of Laplace Birnbaum-Saunders distribution based on type-I, type-II and hybrid censored samples (2019)
  4. Prieto, Faustino; Sarabia, José María: A generalization of the power law distribution with nonlinear exponent (2017)
  5. 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)
  6. Martin, Ryan; Han, Zhen: A semiparametric scale-mixture regression model and predictive recursion maximum likelihood (2016)
  7. Wang, Min; Sun, Xiaoqian; Park, Chanseok: Bayesian analysis of Birnbaum-Saunders distribution via the generalized ratio-of-uniforms method (2016)
  8. Zougab, Nabil; Adjabi, Smail: Multiplicative bias correction for generalized Birnbaum-Saunders kernel density estimators and application to nonnegative heavy tailed data (2016)
  9. Meintanis, Simos G.; Professor Tsionas, Efthymios: Approximately distribution-free diagnostic tests for regressions with survival data (2015)
  10. Owen, William Jason; Tony Ng, Hon Keung: Revisit of relationships and models for the Birnbaum-Saunders and inverse-Gaussian distributions (2015)
  11. Sánchez, Luis; Leiva, Víctor; Caro-Lopera, Francisco J.; Cysneiros, Francisco José A.: On matrix-variate Birnbaum-Saunders distributions and their estimation and application (2015)
  12. Zhu, Xiaojun; Balakrishnan, N.: Birnbaum-Saunders distribution based on Laplace kernel and some properties and inferential issues (2015)
  13. Leiva, Víctor; Marchant, Carolina; Saulo, Helton; Aslam, Muhammad; Rojas, Fernando: Capability indices for Birnbaum-Saunders processes applied to electronic and food industries (2014)
  14. Leiva, Víctor; Santos-Neto, Manoel; Cysneiros, Francisco José A.; Barros, Michelli: Birnbaum-Saunders statistical modelling: a new approach (2014)
  15. Leiva, Víctor; Saulo, Helton; Leão, Jeremias; Marchant, Carolina: A family of autoregressive conditional duration models applied to financial data (2014)
  16. Zhang, Mimi; Hu, Qingpei; Xie, Min; Yu, Dan: Lower confidence limit for reliability based on grouped data using a quantile-filling algorithm (2014)
  17. Marchant, Carolina; Bertin, Karine; Leiva, Víctor; Saulo, Helton: Generalized Birnbaum-Saunders kernel density estimators and an analysis of financial data (2013)
  18. Vilca, Filidor; Rodrigues-Motta, Mariana; Leiva, Víctor: On a variance stabilizing model and its application to genomic data (2013)
  19. Azevedo, Cecilia; Leiva, Víctor; Athayde, Emilia; Balakrishnan, Narayanaswamy: Shape and change point analyses of the Birnbaum-Saunders-(t) hazard rate and associated estimation (2012)
  20. Cordeiro, Gauss M.; Hashimoto, Elizabeth M.; Ortega, Edwin M. M.; Pascoa, Marcelino A. R.: The McDonald extended distribution: properties and applications (2012)

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