Using the compactness in large deviation theory, this note describes a large deviation upper bound by a lower semicontinuous function. It then obtains a characterization for exponential convergence and discusses exponential convergence rates.
Exponential inequality for associated random variables
β Scribed by D.A. Ioannides; G.G. Roussas
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 101 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
β¦ Synopsis
Under mild conditions, a Bernstein-Hoe ding-type inequality is established for covariance invariant positively associated random variables. A condition is given for almost sure convergence, and the associated rate of convergence is speciΓΏed in terms of the underlying covariance function.
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