Empirical Analysis of Claims Development Trapezoids Following Benford's Law

2012 ◽  
Author(s):  
Jochen Heberle ◽  
Tobias Gummersbach
Keyword(s):  
Empirical Analysis ◽  
Benford’S Law ◽  
Benford's Law

scholarly journals Empirical Analysis of Claims Development Trapezoids following Benford’s Law

2018 ◽  
Vol 1 (2) ◽  
Author(s):  
Jochen Heberle ◽  
Tobias Gummersbach
Keyword(s):  
Hypothesis Testing ◽  
Empirical Analysis ◽  
Individual Development ◽  
Benford’S Law ◽  
Characteristic Factor ◽  
Wide Range ◽  
Benford's Law ◽  
The Individual

In this paper we make an empirical analysis of a wide range of claims developmenttrapezoids following Benford’s law. In particular we determine Benfors’s law fordifferent characteristic factors depending on claims development triangles/trapezoids.These characteristic factors are the cumulative claims payments, the incrementalclaims payments and the individual development factors. For each characteristic factor hypothesis testing is done for verifying/rejecting Benford’s law.

scholarly journals What Benford Can Tell Us About Cover Pools – An Empirical Analysis

2015 ◽  
Vol 14 (6) ◽  
pp. 829 ◽  
Author(s):  
Stephan Kienle
Keyword(s):  
Empirical Analysis ◽  
Large Data ◽  
Statistical Evidence ◽  
Large Data Sets ◽  
Benford’S Law ◽  
Data Sets ◽  
Benford's Law ◽  
The Empirical Analysis

Leading digits often follow a distribution described by Newcomb (1881) and Benford (1938). We apply this phenomenon known as Benford’s Law on cover assets provided by issuers of German covered bonds. The main finding of the empirical analysis is that leading digits of these assets seem to follow the Benford distribution. Standard statistical evidence, however, might be misleading due to effects of large data sets. Consequently, the present paper also provides an example of how to deal with large data sets when a Benford distribution is assumed. 

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