An Exponentiated Multivariate Extension for the Birnbaum-Saunders Log-Linear Model

نویسندگان

چکیده

In this work, a bivariate extension of the univariate exponentiated sinh-normal distribution is proposed. The properties new distribution, which called are studied in detail, and maximum likelihood method considered to estimate unknown model parameters. addition, case regression models Monte Carlo simulation experiments carried out investigate performance used estimation method, two applications real datasets presented for illustrative purposes.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Multivariate Log Birnbaum-Saunders Distribution

Univariate Birnbaum-Saunders distribution has received a considerable attention in recent years. Rieck and Nedelman (1991) introduced a log Birnbaum-Saunders distribution. We introduce a multivariate log Birnbaum-Saunders distribution and discuss its different properties. It is observed that the proposed multivariate model can be obtained from the multivariate Gaussian copula. We have proposed ...

متن کامل

Bivariate Log Birnbaum-Saunders Distribution

Univariate Birnbaum-Saunders distribution has received a considerable amount of attention in recent years. Rieck and Nedelman (1991, ’A log-linear model for the Birnbaum-Saunders distribution’, Technometrics, 51-60) introduced a log BirnbaumSaunders distribution. The main aim of this paper is to introduce bivariate log Birnbaum-Saunders distribution. The proposed model is symmetric and it has f...

متن کامل

A log-linear regression model for the β-Birnbaum-Saunders distribution with censored data

The β-Birnbaum–Saunders (Cordeiro and Lemonte, 2011) and Birnbaum–Saunders (Birnbaum and Saunders, 1969a) distributions have been used quite effectively to model failure times for materials subject to fatigue and lifetime data. We define the log-β-Birnbaum–Saunders distribution by the logarithm of the β-Birnbaum–Saunders distribution. Explicit expressions for its generating function and moments...

متن کامل

An Extension of the Birnbaum-Saunders Distribution Based on Skew-Normal t Distribution

In this paper, we introducte a family of univariate Birnbaum-Saunders distributions arising from the skew-normal-t  distribution. We obtain several properties of this distribution such as its moments, the maximum likelihood estimation procedure via an EM-algorithm and a method to evaluate standard errors using the EM-algorithm. Finally, we apply these methods to a real data set to demonstr...

متن کامل

Variable Selection in Log - linear Birnbaum - Saunders Regression Models for High - dimensional Survival Data

Birnbaum-Saunders (BS) distribution is broadly used to model failure times with reliability and survival data. In this thesis, we propose a simultaneous parameter estimation and variable selection procedure in a log-linear BS regression model for high-dimensional survival data. We introduce a path-wise algorithm via cyclical coordinate descent method based on the elastic-net penalty. To deal wi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math10081299