A characterization of the exponential distribution by means of coincidence of location and truncated densities

In this note we provide a characterization of the exponential distribution by means of the coincidence of location and truncated densities. We provide two proofs. The first is obtained directly via simple calculus while the second hinges on the characterization of the exponential distribution by its...

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Bibliographic Details
Published in:Statistical papers (Berlin, Germany) Germany), 2009-03, Vol.50 (2), p.403-405
Main Authors: Bar-Lev, Shaul K., Boukai, Benzion
Format: Article
Language:English
Subjects:
Calculus
Density
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Finance
Hazards
Hinges
Insurance
Management
Mathematical analysis
Mathematical models
Mathematics and Statistics
Operations Research/Decision Theory
Position (location)
Probability distribution
Probability Theory and Stochastic Processes
Proving
Statistical inference
Statistical methods
Statistics
Statistics for Business
Studies
Survival analysis
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Description
Summary:In this note we provide a characterization of the exponential distribution by means of the coincidence of location and truncated densities. We provide two proofs. The first is obtained directly via simple calculus while the second hinges on the characterization of the exponential distribution by its constant hazard rate.
ISSN:0932-5026
1613-9798
DOI:10.1007/s00362-007-0070-7