define tensors

[Graphics:../Images/index_gr_494.gif] is the natural parameter vector

[Graphics:../Images/index_gr_495.gif]
[Graphics:../Images/index_gr_496.gif]

[Graphics:../Images/index_gr_497.gif] is the expectation parameter vector

[Graphics:../Images/index_gr_498.gif]
[Graphics:../Images/index_gr_499.gif]

[Graphics:../Images/index_gr_500.gif] is the random variable

[Graphics:../Images/index_gr_501.gif]
[Graphics:../Images/index_gr_502.gif]

[Graphics:../Images/index_gr_503.gif] is the third derivative of the potential function φ(η) at the origin η=0.

[Graphics:../Images/index_gr_504.gif]
[Graphics:../Images/index_gr_505.gif]
[Graphics:../Images/index_gr_506.gif]
[Graphics:../Images/index_gr_507.gif]

[Graphics:../Images/index_gr_508.gif] is the fourth derivative of the potential function φ(η) at the origin η=0.

[Graphics:../Images/index_gr_509.gif]
[Graphics:../Images/index_gr_510.gif]
[Graphics:../Images/index_gr_511.gif]
[Graphics:../Images/index_gr_512.gif]


Converted by Mathematica      July 21, 2003