Asymptotic approximation of crossing probabilities of random sequences
✍ Scribed by Jürg Hüsler
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 555 KB
- Volume
- 63
- Category
- Article
- ISSN
- 1432-2064
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## Abstract We consider several aspects of the relationship between a [0, 1]‐valued random variable __X__ and the random sequence of digits given by its __m__‐ary expansion. We present results for three cases: (a) independent and identically distributed digit sequences; (b) random variables __X__ w
The notion of asymptotically equivalent sequences was presented by Pobyvanets in 1980. Using this definition, he presented Silverman-Toeplitz-type matrix conditions that ensure that a summability matrix preserves asymptotic equivalency. This work begins with an extension of Pobyvanets' definition of