A characterization of the exponential distribution by means of coincidence of location and truncated densities
| Autor: | Shaul K. Bar-Lev, Benzion Boukai |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Statistics and Probability
Exponentially modified Gaussian distribution Exponential distribution Exponential growth Mathematical analysis Gamma distribution Phase-type distribution Statistics Probability and Uncertainty Natural exponential family Laplace distribution Truncated distribution Mathematics |
| Zdroj: | Statistical Papers. 50:403-405 |
| ISSN: | 1613-9798 0932-5026 |
| DOI: | 10.1007/s00362-007-0070-7 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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