Tables
for
Exam
M
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View Full DocumentThe reading material for Exam M includes a variety of textbooks. Each
text has a set of probability distributions that are used in its readings. For those
distributions used in more than one text, the choices of parameterization may not
be the same in all of the books. This may be of educational value while you
study, but could add a layer of uncertainty in the examination. For this latter
reason, we have adopted one set of parameterizations to be used in
examinations. TI is set will be based on Appendices A &
B of
Loss Models:
From Data to Decisions
by Klugman, Pa~jer
and Willmot. A slightly revised
version of these appendices is included in this note. A copy of this note will also
be distributed to each candidate at the examination.
As an example of this adopted notation, consider the family of single
parameter exponential distributions. The distribution with mean
2 would be
identified in three of the textbooks as follows:
Actuarial Mathematics
the exponential distribution with
P
=
1/2
Probability Models
the exponential distribution with
h
=
%
Loss Models
the exponential distribution with
0
=2
The last form is the one that will be used in examinations.
Another difference among the texts is the choice of generating functions
for
discrete
distributions.
Loss Models
uses
probability
generating functions
while
Actuarial Mathematics
and
Probability Models
use
moment
generating
functions. The abridged tables from
Loss Models
will provide
only
the
probability
generating function for discrete distributions.
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 Spring '05
 CSWong

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