Math 523 Homework 1 Solutions W2012
Homework Math 523
Math 523, Winter 2011 - Homework 1
Ungraded Homework, not to be turned in
Note: For the following problems, the hazard rate hX(x) for a random variable X is
S 'X ( x)
d
defined as hX(x) =
=
ln S X ( x
Name:_
Uniqname:_
Math 523 Test 1 Fall 2015 Solutions
1. Write your name at the top of each page of the test.
2. Show your work on these pages and circle your answers. You can use the other
side of the sheets if you wish.
3. There are nine (9) problems. E
Name: _
Uniqname: _
Math 523 Test 1 Winter 2013
1. Write your name at the top of each page of the test.
2. Show your work on these pages and circle your answers. You can use the other
side of the sheets if you wish.
3. There are eight (8) problems, worth
Name: _
Math 523 Practice Test Winter 2013- Solutions
1. Write your name at the top of each page of the test.
2. Show your work on these pages and circle your answers. You can use the other
side of the sheets if you wish.
3. There are () problems, worth p
Homework Math 523
Math 523, Winter 2012 - Homework 9 Solutions
ungraded - not to be turned in
These are problems covering material for Test 2 that was not covered in
Homeworks 1 through 8.
1. solution:
The values of the empirical distribution at the new g
Homework Math 523
Math 523, Winter 2013 - Homework 8 Solutions
Due Thursday, March 21, 2013
A subset of the problems will be graded (10 points total)
Graded problems: 1 (4 pts), 4c (4 pts), 4e (2 pts)
1. solution: (4 pts) Match moments on the interval [0,
Homework Math 523
Math 523, Winter 2013 - Homework 7 Solutions
Due Thursday, March 14, 2013
A subset of the problems will be graded (10 points total)
Graded problems: 3 (4 pts), 5 (6 pts)
1. Problem 9.24
The loss S follows a collective risk model and is c
Homework 6 Math 523 W2013
Math 523, Winter 2013 - Homework 6 Solutions
Due Thursday, February 28, 2013
A subset of the problems will be graded (10 points total)
Problems graded: 2a (3 pts), 2b (3pts), 5 (4pts)
1. Solution:
a.
F(x)
1.2
1
0.8
0.6
F(x)
0.4
0
Homework 5 Math 523 W2013
Math 523, Winter 2013 - Homework 5 Solutions
Posted 2/6/2013
Ungraded do not turn in this assignment
1. It is useful to calculate the densities of Z and W at all points in (0.5).
a. The joint density fX,Y(x,y)for (X,Y) equals 1/6
Homework 4 Math 523 W2013
Math 523, Winter 2013 - Homework 4 Solutions
Due Thursday, February 7, 2013
A subset of the problems will be graded (10 points total)
Graded problems: 1, 4, 7a, 7c
1. (3 pts.) solution
Since the primary distribution is Poisson (=
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Homework 3, Problem 1
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jm:Celltochange
# claims
0
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6+
TOTAL
1000
K
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M
Geometric Fit
inSolver
0.16
0.1660232
Beta initial
Beta
p (calc)
lo
Homework 2 Math 523 W2013
Math 523, Winter 2013 - Homework 2 Solutions
Due Tuesday, January 29, 2013
A subset of the problems will be graded (10 points total)
Graded problems: 1a , 1b , 2c , 2e , 4a
1. a. (2 pts) pk = Pr[Y=k] = P[ k X < k+1] = ek/ (1e1/ )
Name: _
Uniqname: _
Math 523 Test 2 Winter 2015 Solutions
1.
Write your name at the top of each page of the test.
2.
Show your work on these pages and circle your answers. You can use the
other side of the sheets if you wish.
3.
There are eight (8) proble