Quiz 5
This quiz is based on the lecture material in weeks 5 and 6.
Suppose that we take a random sample of 20 units from the study population and measure
the response variate to get the data
12
2
0
,
,...,
y
yy
. We model the sampling by Gaussian
response model
0
,
,...,
~
(0, ) independent
ii
YR
R
R
G
μ
σ
=+
1.
(1/2 mark) The parameter
represents the attribute of interest in the target
population.
(True or False)
2.
(1/2 mark) The estimate of
is
ˆ
, a random variable with mean
. (True or
False)
3.
(1/2 mark) The estimator
±
of
has a
2
χ
distribution with 19 degrees of
freedom. (True or False)
4.
(1/2 mark) We can estimate the parameter
1
R
by
11
ˆ
ry
ˆ
=
−
.(True or False)
In a study of insurance claims, the number of claims of a certain type per week can be
assumed to be Poisson with unknown mean
λ
. Data
1
,...,
1
0
y
y
are collected for 10 weeks.
The maximum likelihood estimate of
is
ˆ
, the sample average.
5.
(1 mark) The mean of the corresponding estimator is
A:
B:
y
C:
ˆ
D:10
/ 9
6.
(1 mark) The standard deviation of the corresponding estimator
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 Spring '10
 McKay
 Normal Distribution, Insurance Claims

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