Analysis of discrete data by Conway–Maxwell Poisson distribution
In this paper, we further study the Conway–Maxwell Poisson distribution having one more
parameter than the Poisson distribution and compare it with the Poisson distribution with …
parameter than the Poisson distribution and compare it with the Poisson distribution with …
Minimum distance estimators for count data based on the probability generating function with applications
MD Jimenez-Gamero, A Batsidis - Metrika, 2017 - Springer
This paper studies properties of parameter estimators obtained by minimizing a distance
between the empirical probability generating function and the probability generating function …
between the empirical probability generating function and the probability generating function …
[HTML][HTML] A class of tests for the two-sample problem for count data
MV Alba-Fernández, A Batsidis… - … of Computational and …, 2017 - Elsevier
A class of tests for the two-sample problem for count data whose test statistic is an L 2-norm
of the difference between the empirical probability generating functions associated with …
of the difference between the empirical probability generating functions associated with …
[HTML][HTML] Parameter estimation by Hellinger type distance for multivariate distributions based upon probability generating functions
Maximum likelihood (ML) estimation is a popular method for parameter estimation when
modeling discrete or count observations but unfortunately it may be sensitive to outliers …
modeling discrete or count observations but unfortunately it may be sensitive to outliers …
Goodness-of-fit test for count distributions with finite second moment
A goodness-of-fit test for one-parameter count distributions with finite second moment is
proposed. The test statistic is derived from the L 1-distance of a function of the probability …
proposed. The test statistic is derived from the L 1-distance of a function of the probability …
A bivariate generalization of the noncentral negative binomial distribution
This article proposes a bivariate generalization of the noncentral negative binomial
distribution which arises as a model in photon and neural counting. This bivariate …
distribution which arises as a model in photon and neural counting. This bivariate …
[HTML][HTML] A Family of Finite Mixture Distributions for Modelling Dispersion in Count Data
This paper considers the construction of a family of discrete distributions with the flexibility to
cater for under-, equi-and over-dispersion in count data using a finite mixture model based …
cater for under-, equi-and over-dispersion in count data using a finite mixture model based …
Alternating minimization algorithm with a probability generating function-based distance measure
Abstract The Expectation Maximization (EM) algorithm, a popular method for maximum
likelihood estimation of parameters, requires a complete data space and construction of a …
likelihood estimation of parameters, requires a complete data space and construction of a …
A bivariate distribution with convolution of binomials as marginals
The convolution of two binomial random variables has appeared in various settings such as
a model in machine maintenance and as a Markov chain model. This article presents a …
a model in machine maintenance and as a Markov chain model. This article presents a …
Parameter estimation for strict arcsine distribution
The two-parameter strict arcsine distribution as a member of the natural exponential family
with cubic variance function has been shown to be a viable candidate for statistical analysis …
with cubic variance function has been shown to be a viable candidate for statistical analysis …