Birnbaum‐Saunders distribution: A review of models, analysis, and applications

N Balakrishnan, D Kundu - Applied Stochastic Models in …, 2019 - Wiley Online Library
Birnbaum and Saunders introduced a two‐parameter lifetime distribution to model the
fatigue life of a metal, subject to cyclic stress. Since then, extensive work has been done on …

[PDF][PDF] The unit-Birnbaum-Saunders distribution with applications

J Mazucheli, AFB Menezes, S Dey - Chilean Journal of Statistics, 2018 - soche.cl
In this paper a new probability distribution supported on unit interval is introduced. This
distribution arises from the Birnbaum and Saunders distribution. It depends on two …

Robust statistical modeling using the Birnbaum‐Saunders‐t distribution applied to insurance

GA Paula, V Leiva, M Barros… - Applied Stochastic Models …, 2012 - Wiley Online Library
In this paper, we carry out robust modeling and influence diagnostics in Birnbaum‐Saunders
(BS) regression models. Specifically, we present some aspects related to BS and log‐BS …

Birnbaum Saunders distribution for imprecise data: statistical properties, estimation methods, and real life applications

MK Hassan, M Aslam - Scientific Reports, 2024 - nature.com
A neutrosophic statistic is a random variable and it has a neutrosophic probability
distribution. So, in this paper, we introduce the new neutrosophic Birnbaum–Saunders …

Incorporation of frailties into a cure rate regression model and its diagnostics and application to melanoma data

J Leão, V Leiva, H Saulo, V Tomazella - Statistics in medicine, 2018 - Wiley Online Library
Cure rate models have been widely studied to analyze time‐to‐event data with a cured
fraction of patients. Our proposal consists of incorporating frailty into a cure rate model, as an …

Birnbaum–Saunders statistical modelling: a new approach

V Leiva, M Santos-Neto, FJA Cysneiros… - Statistical …, 2014 - journals.sagepub.com
Modelling based on the Birnbaum–Saunders distribution has received considerable
attention in recent years. In this article, we introduce a new approach for Birnbaum …

On an extreme value version of the Birnbaum–Saunders distribution

M Ferreira, MI Gomes, V Leiva - REVSTAT-Statistical Journal, 2012 - revstat.ine.pt
Abstract The Birnbaum–Saunders model is a life distribution originated from a problem of
material fatigue that has been largely studied and applied in recent decades. A random …

A multivariate log-linear model for Birnbaum-Saunders distributions

C Marchant, FJA Cysneiros - IEEE Transactions on Reliability, 2015 - ieeexplore.ieee.org
Univariate Birnbaum-Saunders models have been widely applied to fatigue studies.
Calculation of fatigue life is of great importance in determining the reliability of materials. We …

Log-symmetric distributions: statistical properties and parameter estimation

LH Vanegas, GA Paula - 2016 - projecteuclid.org
In this paper, we study the main statistical properties of the class of log-symmetric
distributions, which includes as special cases bimodal distributions as well as distributions …

[PDF][PDF] Estimation in the Birnbaum-Saunders distribution based on scale-mixture of normals and the EM-algorithm

N Balakrishnan, V Leiva, A Sanhueza, F Vilca - SORT-Statistics and …, 2009 - raco.cat
Scale mixtures of normal (SMN) distributions are used for modeling symmetric data.
Members of this family have appealing properties such as robust estimates, easy number …