Functional equation with an error term and the stability of some characterizations of the exponential distribution
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Publication:1148622
DOI10.1007/BF02480306zbMath0452.62011MaRDI QIDQ1148622
Publication date: 1980
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
functional equationexponential distributionserror termstable distributionsstability theoremstability of characterizations
Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)
Related Items (9)
Applications of convolution equations to problems of stability of characterizations of probability distributions ⋮ On the stability of characterizations of a mixture of probability distributions ⋮ Stability theorems for some characterizations of the exponential distribution ⋮ On the stability of characterizations of the exponential distribution ⋮ A characterization of exponential and geometrical distributions and its stability bound ⋮ Stability of some characterization properties of the exponential distribution ⋮ More exact estimates of the convergence rate in the central limit theorem for a scheme of minimization of random variables ⋮ Stability of the service process in a system of type M/M/1 ⋮ Stability of a characterization of the exponential distribution
Cites Work
- A note on the 'lack of memory' property of the exponential distribution
- Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
- Note on a Characterizing Property of the Exponential Distribution
- Characterization of the exponential and the pareto distributions by means of some properties of the distributions which the differences and quotients of order statistics are subject to
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