✦ LIBER ✦
A Central Limit Theorem for Some Special Complex-Valued Probability Densities
✍ Scribed by Natalia Humphreys
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 206 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
We describe the behavior of the n-fold convolutions
under a suitable scaling as n ª ϱ, where f is an integrable complex-valued function on .ޒ We consider only the unstable case and only two typical examples in ˆp q Ž . Ä < < < < 4 that case. In the first example f is defined by f t s exp i t y t and in the ˆp q Ž . Ä < < Ž . < < 4 second one by f t s exp i t sgn t y t , where p and q are real numbers such that 2 F pq.