10,577 research outputs found
On Bivariate Exponentiated Extended Weibull Family of Distributions
In this paper, we introduce a new class of bivariate distributions called the
bivariate exponentiated extended Weibull distributions. The model introduced
here is of Marshall-Olkin type. This new class of bivariate distributions
contains several bivariate lifetime models. Some mathematical properties of the
new class of distributions are studied. We provide the joint and conditional
density functions, the joint cumulative distribution function and the joint
survival function. Special bivariate distributions are investigated in some
detail. The maximum likelihood estimators are obtained using the EM algorithm.
We illustrate the usefulness of the new class by means of application to two
real data sets.Comment: arXiv admin note: text overlap with arXiv:1501.03528 by other author
A tractable, parsimonious and flexible model for cylindrical data, with applications
In this paper, we propose cylindrical distributions obtained by combining the
sine-skewed von Mises distribution (circular part) with the Weibull
distribution (linear part). This new model, the WeiSSVM, enjoys numerous
advantages: simple normalizing constant and hence very tractable density,
parameter-parsimony and interpretability, good circular-linear dependence
structure, easy random number generation thanks to known marginal/conditional
distributions, flexibility illustrated via excellent fitting abilities, and a
straightforward extension to the case of directional-linear data. Inferential
issues, such as independence testing, circular-linear respectively
linear-circular regression, can easily be tackled with our model, which we
apply on two real data sets. We conclude the paper by discussing future
applications of our model.Comment: 17 pages, 5 figure
Categorical data analysis using a skewed Weibull regression model
In this paper, we present a Weibull link (skewed) model for categorical
response data arising from binomial as well as multinomial model. We show that,
for such types of categorical data, the most commonly used models (logit,
probit and complementary log-log) can be obtained as limiting cases. We further
compare the proposed model with some other asymmetrical models. The Bayesian as
well as frequentist estimation procedures for binomial and multinomial data
responses are presented in details. The analysis of two data sets to show the
efficiency of the proposed model is performed
Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV
Certain characterizations of recently proposed univariate continuous distributions are presented in different directions. This work contains a good number of reintroduced distributions and may serve as a source of preventing the reinvention and/or duplication of the existing distributions in the future
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