Statistical rates on the multivariate approximation theory
✍ Scribed by Oktay Duman; Esra Erkuş; Vijay Gupta
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 194 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
Statistical rates of approximations by means of positive linear operators defined on the space of multivariate continuous functions are studied. Furthermore, displaying an example, it is shown that our statistical rates are more efficient than the classical aspects in the approximation theory.
📜 SIMILAR VOLUMES
We present multivariate generalizations of some classical results on the accuracy of Poisson approximation for the distribution of a sum of 0 -1 random variables. A multivariate generalization of Bradley's theorem (Michigan Math. J. 30 (1983) 69) is established as well.
The distribution of the sum of independent nonidentically distributed Bernoulli random vectors in R k is approximated by a multivariate Poisson distribution. By using a multivariate adaption of Kerstan's (1964, Z. Wahrsch. verw. Gebiete 2, 173 179) method, we prove a conjecture of Barbour (1988, J.