Masters Theses

Keywords and Phrases

Actuarial; Claim; Estimator; Insurance

Abstract

"In this thesis, we presented in detail different aspects of Verrall's chain ladder method and their advantages and disadvantages. Insurance companies must ensure there are enough reserves to cover future claims. To that end, it is useful to estimate mean expected losses. The chain ladder technique under a general linear model is the most widely used method for such estimation in property and casualty insurance. Verrall's chain ladder technique develops estimators for loss development ratios, mean expected ultimate claims, Bayesian premiums, and Bühlmann credibility premiums. The chain ladder technique can be used to estimate loss development in cases where data has been collected from a population but the statistician has no information on which to base a parametric prior distribution (empirical Bayesian estimation)."--Abstract, page iii.

Advisor(s)

Adekpedjou, Akim

Committee Member(s)

Gelles, Gregory M.
Samaranayake, V. A.

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Applied Mathematics

Publisher

Missouri University of Science and Technology

Publication Date

Spring 2015

Pagination

viii, 48 pages

Note about bibliography

Includes bibliographic references (pages 42-45).

Rights

© 2015 Netanya Lee Martin, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Risk management -- Mathematical models
Insurance claims -- Mathematical models
Runoff.

Thesis Number

T 10684

Electronic OCLC #

913486834

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