Ghent University Academic Bibliography

Advanced

A generalized Emerson recurrence relation

JCW Rayner, Olivier Thas UGent and Bert De Boeck UGent (2008) AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS. 50(3). p.235-240
abstract
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.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
orthonormal polynomials, Hermite polynomials, spherical Legendre polynomials, SMOOTH TESTS, FIT
journal title
AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS
Aust. N. Z. J. Stat
volume
50
issue
3
pages
235 - 240
Web of Science type
Article
Web of Science id
000259086700003
JCR category
STATISTICS & PROBABILITY
JCR impact factor
0.65 (2008)
JCR rank
68/92 (2008)
JCR quartile
3 (2008)
ISSN
1369-1473
DOI
10.1111/j.1467-842X.2008.00514.x
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
629295
handle
http://hdl.handle.net/1854/LU-629295
date created
2009-05-15 13:19:07
date last changed
2009-05-28 12:53:31
@article{629295,
  abstract     = {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.},
  author       = {Rayner, JCW and Thas, Olivier and De Boeck, Bert},
  issn         = {1369-1473},
  journal      = {AUSTRALIAN \& NEW ZEALAND JOURNAL OF STATISTICS},
  keyword      = {orthonormal polynomials,Hermite polynomials,spherical Legendre polynomials,SMOOTH TESTS,FIT},
  language     = {eng},
  number       = {3},
  pages        = {235--240},
  title        = {A generalized Emerson recurrence relation},
  url          = {http://dx.doi.org/10.1111/j.1467-842X.2008.00514.x},
  volume       = {50},
  year         = {2008},
}

Chicago
Rayner, JCW, Olivier Thas, and Bert De Boeck. 2008. “A Generalized Emerson Recurrence Relation.” Australian & New Zealand Journal of Statistics 50 (3): 235–240.
APA
Rayner, J., Thas, O., & De Boeck, B. (2008). A generalized Emerson recurrence relation. AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 50(3), 235–240.
Vancouver
1.
Rayner J, Thas O, De Boeck B. A generalized Emerson recurrence relation. AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS. 2008;50(3):235–40.
MLA
Rayner, JCW, Olivier Thas, and Bert De Boeck. “A Generalized Emerson Recurrence Relation.” AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS 50.3 (2008): 235–240. Print.