Bivpois Library of Karlis and Ntzoufras


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-- Functions --

bivpois.table

Bivariate Poisson Probability Function (in Tabular form) using retrospective relationships

pbivpois

Probability function (and logarithm) of Bivariate Poisson

simple.bp

Fitting a simple bivariate Poisson model (with no covariates) using the EM algorithm

lm.bp

Fitting a log-linear Bivariate Poisson model (with covariates ) using the EM algorithm

lm.dibp

Fitting a log-linear diagonal inflated Bivariate Poisson model (with covariates ) using the EM algorithm

newnamesbeta

Function used internally in lm.bp & lm.dibp for naming beta parameters

splitbeta

Function used internally in lm.bp & lm.dibp for spliting beta parameters

-- Datasets - Examples --

ex1.sim

Simulated data of example 1 of Karlis and Ntzoufras (2004)

ex2.sim

Simulated data of example 2 of Karlis and Ntzoufras (2004)

ex3.health

Health care data from the book of Cameron and Trivedi (1998). Example 3 in Karlis and Ntzoufras (2004)

ex4.ita91

Football (soccer) data of the Italian League for season 1991-92. Data were originally analysed in Karlis and Ntzoufras (RSSD, 2003). This is example 4 in Karlis and Ntzoufras (2004).

-- Additional Help --

bpformulas

Help file with instructions on how to construct formulas for lm.bp and lm.dibp

References

1.      Karlis, D. and Ntzoufras, I. (2004). Bivariate Poisson and Diagonal Inflated Bivariate Poisson Regression Models in S. (submitted). Technical Report, Department of Statistics, 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  .