scholarly journals FISHER INFORMATION MATRIX FOR CROVELLI'S AND GAMMA BETA II BIVARIATE DISTRIBUTIONS

2021 ◽  
Vol 39 (2) ◽  
pp. 350-361
Author(s):  
Ana Paula Coelho Madeira SILVA ◽  
Adélia Conceição DINIZ
Keyword(s):  
Maximum Likelihood ◽  
Nonlinear Equations ◽  
Fisher Information ◽  
Beta Distribution ◽  
Fisher Information Matrix ◽  
Information Matrix ◽  
Maximum Likelihood Estimators ◽  
System Of Nonlinear Equations ◽  
Bivariate Gamma Distribution ◽  
The City

In this paper, a system of nonlinear equations for the maximum likelihood estimators as wel as the exact forms of the Fisher information matrix for Crovelli's bivariate gamma distribution and bivariate gamma beta  distribution of the second kind are determined. An application of the results to the rainfall data from the city of Passo Fundo are provided.

scholarly journals Generalized Truncation Positive Normal Distribution

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1361
Author(s):  
Héctor J. Gómez ◽  
Diego I. Gallardo ◽  
Osvaldo Venegas
Keyword(s):  
Maximum Likelihood ◽  
Normal Distribution ◽  
Fisher Information ◽  
Fisher Information Matrix ◽  
Information Matrix ◽  
Maximum Likelihood Estimators ◽  
Real Data ◽  
Data Sets ◽  
New Model ◽  
Positive Support

In this article we study the properties, inference, and statistical applications to a parametric generalization of the truncation positive normal distribution, introducing a new parameter so as to increase the flexibility of the new model. For certain combinations of parameters, the model includes both symmetric and asymmetric shapes. We study the model’s basic properties, maximum likelihood estimators and Fisher information matrix. Finally, we apply it to two real data sets to show the model’s good performance compared to other models with positive support: the first, related to the height of the drum of the roller and the second, related to daily cholesterol consumption.

Entropies and Fisher information matrix for extended beta distribution

2015 ◽  
Vol 9 ◽  
pp. 3983-3994
Author(s):  
Daya K. Nagar ◽  
Edwin Zarrazola ◽  
Luz Estela Sanchez
Keyword(s):  
Fisher Information ◽  
Beta Distribution ◽  
Fisher Information Matrix ◽  
Information Matrix
Sign in / Sign up

Export Citation Format

Share Document