bivpois.table{bivpois}

R Documentation

Probability of Bivariate Poisson Using Recursive relations

Description

Returns the probability of the bivariate Poisson distribution using recursive relations.

Usage

bivpois.table(x, y, lambda = c(1, 1, 1) )

Required Arguments

x, y

single values containing which values should evaluated (x and y should be at least 1)

Optional Arguments

lambda

Vector (of length 3) containing values of the parameters λ1, λ2 and λ3 of the bivariate poisson distribution.

Details

In order to calculate bivpoison probability values we use recursive releationships. This function is much slower than pbivpois 

Value

A matrix with dimension (x+1) X (y+1) is returned. Cell ij contains the probability P(X=i-1, Y=j-1).

References

1.      Karlis, D. and Ntzoufras, I. (2004). Bivariate Poisson and Diagonal Inflated Bivariate Poisson Regression Models in S. (submitted). Technical Report, Athens University of Economics and Business, Athens, Greece.

2.      Karlis, D. and Ntzoufras, I. (2003). Analysis of Sports Data Using Bivariate Poisson Models. Journal of the Royal Statistical Society, D, (Statistician), 52, 381 – 393.

Authors Information

1.      Dimitris Karlis, Department of Statistics, Athens University of Economics and Business, Athens, Greece, e-mail: karlis@aueb.gr .

2.      Ioannis Ntzoufras, Department of Statistics, Athens University of Economics and Business, Athens, Greece, e-mail: ntzoufras@aueb.gr  .

See Also

pbivpois,  simple.bp, lm.bp, lm.dibp .


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