In a variety of statistical problems one needs to manipulate a sequence of stochastic functions involving some unknown parameters. The asymptotic behavior of the estimated parameters often depends on the asymptotic properties of such functions. Especially, the consistency of the estimated parameters
A theorem on the uniform convergence of Fourier-type integrals
โ Scribed by W Stadler
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 133 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0022-247X
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This paper studies how well computable functions can be approximated by their Fourier series. To this end, we equip the space of L p -computable functions (computable Lebesgue integrable functions) with a size notion, by introducing L p -computable Baire categories. We show that L p -computable Bair
## Abstract We offer a new proof of a special Tauberian theorem for Fourier type integrals. This Tauberian theorem was already considered by us in the papers [1] and [2]. The idea of our initial proof was simple, but the details were complicated because we used Bochner's definition of generalized F
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