- Title
- A generalised Emerson recurrence relation
- Creator
- Rayner, J. C. W.; Thas, O.; De Boeck , B.
- Relation
- Australian and New Zealand Journal of Statistics Vol. 50, Issue 3, p. 235-240
- Publisher Link
- http://dx.doi.org/10.1111/j.1467-842X.2008.00514.x
- Publisher
- Blackwell Publishing Asia
- Resource Type
- journal article
- Date
- 2008
- Description
- The Emerson (1968, Biometrics 24, 695–701) recurrence relation has many important applications in statistics. However, the original derivation applied only to discrete distributions. In the following, a simple derivation is given that generalizes the Emerson recurrence relation to any distribution for which the necessary expectations exist. A modern application is outlined.
- Subject
- Hermite polynomials; orthonormal polynomials; spherical Legendre polynomials
- Identifier
- http://hdl.handle.net/1959.13/43462
- Identifier
- uon:5575
- Identifier
- ISSN:1369-1473
- Rights
- This is the accepted version of the following article: Rayner, J. C. W.; Thas, O.; De Boeck , B. “A generalised Emerson recurrence relation” Australian and New Zealand Journal of Statistics Vol. 50, Issue 3, p. 235-240 (2008) which has been published in final form at http://dx.doi.org/10.1111/j.1467-842X.2008.00514.x
- Language
- eng
- Full Text
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Author final version | 167 KB | Adobe Acrobat PDF | View Details Download |