A characterization of exponential distribution and the Sukhatme–Rényi decomposition of exponential maxima

@article{Yanev2016ACO,
  title={A characterization of exponential distribution and the Sukhatme–R{\'e}nyi decomposition of exponential maxima},
  author={G. Yanev and S. Chakraborty},
  journal={Statistics & Probability Letters},
  year={2016},
  volume={110},
  pages={94-102}
}
A new characterization of the exponential distribution is established. It is proven that the well-known Sukhatme–Renyi necessary condition is also sufficient for exponentiality. A method of proof due to Arnold and Villasenor based on the Maclaurin series expansion of the density is utilized. 
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  • 15
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  • 9
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References

SHOWING 1-10 OF 22 REFERENCES
Exponential characterizations motivated by the structure of order statistics in samples of size two
  • 21
  • Highly Influential
An Algebraic Identity Leading to Wilson Theorem
  • 36
  • PDF
...
1
2
3
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