A model with long-term survivors: negative binomial Birnbaum-Saunders
نویسندگان
چکیده
منابع مشابه
A Birnbaum-Saunders accelerated life model
The 2-parameter family of probability distributions introduced by Birnbaum & Saunders characterizes the fatigue failure of materials subjected to cyclic stresses and strains. It is shown that the methods of accelerated life testing are applicable to the Birnbaum–Saunders distribution for analyzing accelerated lifetime data, and the (inverse) power law model is used due to its justification for ...
متن کاملBirnbaum-Saunders nonlinear regression models
We introduce, for the first time, a new class of Birnbaum–Saunders nonlinear regression models potentially useful in lifetime data analysis. The class generalizes the regression model described by Rieck and Nedelman [1991, A log-linear model for the Birnbaum–Saunders distribution, Technometrics, 33, 51–60]. We discuss maximum likelihood estimation for the parameters of the model, and derive clo...
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The two-parameter Birnbaum–Saunders (BS) distribution was originally proposed as a failure time distribution for fatigue failure caused under cyclic loading. BS model is a positively skewed statistical distribution which has received great attention in recent decades. Several extensions of this distribution with various degrees of skewness, kurtosis and modality are considered. In particular, a...
متن کاملModified slash Birnbaum-Saunders distribution
In this paper, we introduce an extension for the Birnbaum-Saunders (BS) distribution based on the modified slash (MS) distribution proposed by [12]. This new family of BS type distributions is obtained by replacing the usual normal distribution with the quotient of two independent random variables, one being a normal distribution in the numerator and the power of a exponential of parameter equa...
متن کاملBivariate 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...
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ژورنال
عنوان ژورنال: Communications in Statistics - Theory and Methods
سال: 2015
ISSN: 0361-0926,1532-415X
DOI: 10.1080/03610926.2013.863929