MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question

Please do the questions with handwritten working. I'm struggling to understand what to write

12. Household content insurance claims are modeled by a Weibull distribu-
tion with parameters c> 0 and y=2.
(a) A random sample of 50 such claims yields
50
50
= 13,500 and
1
4,500,000. Calculate the method of moments estimator ē
and the method of maximum likelihood estimate ĉ of c using this
information. Determine an approximate 95% confidence interval
for e based on maximum likelihood.
TABLE 2.8
Portfolio of 120 claims.
Observed
Expected
Interval
Oi
E(Exp) E (Weibull)
1234567
0, 7.90]
12
2.12
27.90, 16.74]
9
12
7.11
16.74, 26.75
14
12
12.95
26.75, 38.31]
16
12
18.91
38.31, 51.99
21
12
23.46
51.99, 68.72]
22
12
24.30
68.72, 90.30]
18
12
19.45
8 90.30, 103.97]
7
?
?
9
103.97, 172.69
8
?
?
10
172.69, +00
1
?
?
(b) If a deductible of 200 is introduced, estimate (using maximum like-
lihood) the reduction in the proportion of claims to be made.
expand button
Transcribed Image Text:12. Household content insurance claims are modeled by a Weibull distribu- tion with parameters c> 0 and y=2. (a) A random sample of 50 such claims yields 50 50 = 13,500 and 1 4,500,000. Calculate the method of moments estimator ē and the method of maximum likelihood estimate ĉ of c using this information. Determine an approximate 95% confidence interval for e based on maximum likelihood. TABLE 2.8 Portfolio of 120 claims. Observed Expected Interval Oi E(Exp) E (Weibull) 1234567 0, 7.90] 12 2.12 27.90, 16.74] 9 12 7.11 16.74, 26.75 14 12 12.95 26.75, 38.31] 16 12 18.91 38.31, 51.99 21 12 23.46 51.99, 68.72] 22 12 24.30 68.72, 90.30] 18 12 19.45 8 90.30, 103.97] 7 ? ? 9 103.97, 172.69 8 ? ? 10 172.69, +00 1 ? ? (b) If a deductible of 200 is introduced, estimate (using maximum like- lihood) the reduction in the proportion of claims to be made.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman