Description Usage Format Details Source
An artificial data set containing the bivariate response y1
, y2
, three covariates w1
, w2
, w3
, and the true label.
1 |
A data frame with 500 rows and 6 variables:
y1
,y2
The bivariate response variable.
w1
,w2
,w3
Three covariates.
label
Their true labels.
This data set of size 500 is artificially generated as following: first w1
, w2
, and w3
are simulated from Normal(0, 0.3)
.
The true number of component is G = 2.
The gating is simulated from a logistic regression where the regression coeffcients are
logit(p) = 1 + 2 w1 + 2 w2 + 3 w3 ,
based on which a binomial simulation is used. The two components were simulated from two bivariate gamma distributions: for component 1:
y ~ BG(α1 = 0.8, α2 = 7.9, α3 = 5, β = 1.9) ,
for component 2:
y ~ BG(α1 = 2.6, α2 = 2, α3 = 0.5, β = 1) .
The simulated data set consists of 205 observations from component 1 and 295 observations from component 2.
Hu, S., Murphy, T. B. and O'Hagan, A. (2019) Bivariate Gamma Mixture of Experts Models for Joint Claims Modeling. To appear.
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