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 …

Multivariate Birnbaum-Saunders distributions: modelling and applications

RG Aykroyd, V Leiva, C Marchant - Risks, 2018 - mdpi.com
Since its origins and numerous applications in material science, the Birnbaum–Saunders
family of distributions has now found widespread uses in some areas of the applied …

Robust explicit estimators using the power-weighted repeated medians

C Park, X Gao, M Wang - Journal of Applied Statistics, 2024 - Taylor & Francis
This paper consists of two parts. The first part of the paper is to propose an explicit robust
estimation method for the regression coefficients in simple linear regression based on the …

Failure rate of Birnbaum–Saunders distributions: Shape, change-point, estimation and robustness

E Athayde, A Azevedo, M Barros, V Leiva - 2019 - projecteuclid.org
Abstract The Birnbaum–Saunders (BS) distribution has been largely studied and applied. A
random variable with BS distribution is a transformation of another random variable with …

Control charts for monitoring the median parameter of Birnbaum‐Saunders distribution

M Bourguignon, L Lee Ho… - Quality and Reliability …, 2020 - Wiley Online Library
In this paper, we propose control charts for monitoring the Birnbaum‐Saunders (BS) median
parameter (scale parameter) on the basis of three estimators. Comparison of the control …

On Modeling Concrete Compressive Strength Data Using Laplace Birnbaum-Saunders Distribution Assuming Contaminated Information

FMA Alam, M Nassar - Crystals, 2021 - mdpi.com
Compressive strength is a well-known measurement to evaluate the endurance of a given
concrete mixture to stress factors, such as compressive loads. A suggested approach to …

Optimizing robust shape parameter: Improved methodologies for Birnbaum–Saunders distribution

W Makhdoom, MKA Shah, N Zahra… - Journal of Statistical Theory …, 2024 - Springer
This study strives to improve the estimation of robust estimator when dealing with a
univariate Birnbaum–Saunders distribution's shape parameter while integrating both sample …

Parameter Estimation of Birnbaum-Saunders Distribution under Competing Risks Using the Quantile Variant of the Expectation-Maximization Algorithm

C Park, M Wang - Mathematics, 2024 - mdpi.com
Competing risks models, also known as weakest-link models, are utilized to analyze diverse
strength distributions exhibiting multi-modality, often attributed to various types of defects …

[PDF][PDF] On Comparing Different Methods of Estimation for the Parameters of a Pathological Distribution with Application to Climate Data

FMA Alam - Austrian Journal of Statistics, 2022 - ajs.or.at
In statistical literature, various probability distributions exist with advantageous properties,
while others are considered pathological since their properties are counterintuitive. A well …

On moment-type estimators for a class of log-symmetric distributions

N Balakrishnan, H Saulo, M Bourguignon… - Computational Statistics, 2017 - Springer
In this paper, we propose three simple closed form estimators for a class of log-symmetric
distributions on R^+ R+. The proposed methods make use of some key properties of this …