Description Usage Arguments Details Value Author(s) Source References Examples
This function computes the cross-factorial moment for the Basu-Dhar bivariate geometric distribution assuming arbitrary parameter values.
1 | cfbivgeo(theta)
|
theta |
vector (of length 3) containing values of the parameters θ_1, θ_2 and θ_{3} of the Basu-Dhar bivariate Geometric distribution. For real data applications, use the maximum likelihood estimates or Bayesian estimates to get the cross-factorial moment. |
The cross-factorial moment between X and Y, assuming the Basu-Dhar bivariate geometric distribution, is given by,
E[XY] = \frac{1 - θ_1 θ_2 θ_{3}^2}{(1 - θ_1θ_3)(1 - θ_2θ_3)(1 - θ_1 θ_2 θ_{3})}
Note that the cross-factorial moment is always positive.
cfbivgeo
computes the cross-factorial moment for the Basu-Dhar bivariate geometric distribution for arbitrary parameter values.
Invalid arguments will return an error message.
Ricardo P. Oliveira rpuziol.oliveira@gmail.com
Jorge Alberto Achcar achcar@fmrp.usp.br
cfbivgeo
is calculated directly from the definition.
Basu, A. P., & Dhar, S. K. (1995). Bivariate geometric distribution. Journal of Applied Statistical Science, 2, 1, 33-44.
Li, J., & Dhar, S. K. (2013). Modeling with bivariate geometric distributions. Communications in Statistics-Theory and Methods, 42, 2, 252-266.
Achcar, J. A., Davarzani, N., & Souza, R. M. (2016). Basu<e2><80><93>Dhar bivariate geometric distribution in the presence of covariates and censored data: a Bayesian approach. Journal of Applied Statistics, 43, 9, 1636-1648.
de Oliveira, R. P., & Achcar, J. A. (2018). Basu-Dhar's bivariate geometric distribution in presence of censored data and covariates: some computational aspects. Electronic Journal of Applied Statistical Analysis, 11, 1, 108-136.
de Oliveira, R. P., Achcar, J. A., Peralta, D., & Mazucheli, J. (2018). Discrete and continuous bivariate lifetime models in presence of cure rate: a comparative study under Bayesian approach. Journal of Applied Statistics, 1-19.
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