Characterizations of the Cauchy distribution associated with integral transforms
| Autor: | Kazuki Okamura |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Yield (engineering)
Mathematics::Complex Variables General Mathematics 010102 general mathematics Probability (math.PR) Mathematics::Analysis of PDEs Cauchy distribution Mathematics - Statistics Theory Statistics Theory (math.ST) Integral transform 01 natural sciences Simple (abstract algebra) FOS: Mathematics Applied mathematics 0101 mathematics 60E10 62E10 Mathematics - Probability Mathematics |
| DOI: | 10.48550/arxiv.2007.09707 |
| Popis: | We give two new simple characterizations of the Cauchy distribution by using the M\"obius and Mellin transforms. They also yield characterizations of the circular Cauchy distribution and the mixture Cauchy model. Comment: 9 pages, to appear in Studia Scientiarum Mathematicarum Hungarica |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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