Athreya, Krishna B. (1987) Modified bessel function asymptotics via probability Statistics & Probability Letters, 5 (5). pp. 325-327. ISSN 0167-7152
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/016771...
Related URL: http://dx.doi.org/10.1016/0167-7152(87)90004-6
Abstract
Using the local and global versions of the central limit theorem it is shown that, for the modified Bessel function Iρ(x). (i) for fixed ρ. Iρ(x)e- √x → (√2π)- as x → ∞ (ii) Iα(x) √xe- → (√2π)-1 e-α2β and Σ0≥j≥α(x) Ij(x)e-x → Φ(α) - 2-1 if α(x)/√x → α .0 ≥ α < ∞ as x → ∞.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Bessel Function; Central Limit Theorem Asymptotics; |
| ID Code: | 1158 |
| Deposited On: | 05 Oct 2010 12:51 |
| Last Modified: | 12 May 2011 10:04 |
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