An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
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Chapter 14.3, Problem 3Q
To determine
The analyze these data with a Wilcoxon signed rank test. Use a two-sided alternative, let
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Questions
An insurance company's cumulative incurred claims for the last 5 accident years are given
in the following table:
Development Year
Accident Year 0
2018
1 2 3 4
245 267 274 289 292
2019
255 276 288 294
2020
265 283 292
2021
263 278
2022
271
It can be assumed that claims are fully run off after 4 years. The premiums received for
each year are:
Accident Year Premium
2018
306
2019
312
2020
318
2021
326
2022
330
You do not need to make any allowance for inflation.
1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method.
(b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method.
2. Comment on the differences in the reserves produced by the methods in Part 1.
Chapter 14 Solutions
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Ch. 14.2 - Recall the data in Question 8.2.9 giving the sizes...Ch. 14.2 - Test H0==0.12 versus H1=0.12 for the release chirp...Ch. 14.2 - Below are n=50 computer-generated observations...Ch. 14.2 - Let Y1,Y2,...,Y22 be a random sample of normally...Ch. 14.2 - Suppose that n=7 paired observations, (Xi,Yi), are...Ch. 14.2 - Analyze the Shoshoni rectangle data (Case Study...Ch. 14.2 - Recall the FEV1/VC data described in Question...Ch. 14.2 - Do a sign test on the ESP data in Question 13.2.2....Ch. 14.2 - In a marketing research test, twenty-eight adult...Ch. 14.2 - Suppose that a random sample of size...
Ch. 14.2 - Prob. 11QCh. 14.3 - The average energy expenditures for eight elderly...Ch. 14.3 - Prob. 2QCh. 14.3 - Prob. 3QCh. 14.3 - Prob. 4QCh. 14.3 - Prob. 5QCh. 14.3 - DoaWilcoxon signed rank test on the hemoglobin...Ch. 14.3 - Prob. 7QCh. 14.3 - Prob. 8QCh. 14.3 - Prob. 9QCh. 14.3 - Prob. 10QCh. 14.4 - Prob. 1QCh. 14.4 - Prob. 2QCh. 14.4 - Prob. 3QCh. 14.4 - Prob. 4QCh. 14.4 - Prob. 5QCh. 14.4 - A sample of ten 40-W light bulbs was taken from...Ch. 14.4 - Prob. 7QCh. 14.4 - Prob. 8QCh. 14.5 - The following data come from a field trial set up...Ch. 14.5 - Prob. 2QCh. 14.5 - Prob. 3QCh. 14.5 - Prob. 4QCh. 14.5 - Prob. 5QCh. 14.5 - Prob. 6QCh. 14.6 - Prob. 1QCh. 14.6 - Listed below for two consecutive fiscal years are...Ch. 14.6 - Prob. 3QCh. 14.6 - Prob. 4QCh. 14.6 - Prob. 5QCh. 14.6 - Prob. 6Q
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