A Class of $t$ Posterior Distributions with Application
Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 1, pp. 200-207
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A class of posterior distributions is derived for the location parameter of some chosen populations. The Student $t$ prior is assumed for the scale parameter. The calculations involve several special functions. An application is described to discrete cosine transform (DCT) coefficient distributions.
Keywords: location parameter, posterior distribution, Student's $t$ distribution.
Mots-clés : discrete cosine transformation
@article{TVP_2008_53_1_a14,
     author = {S. Nadarajah and S. Kotz},
     title = {A {Class} of $t$ {Posterior} {Distributions} with {Application}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {200--207},
     year = {2008},
     volume = {53},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2008_53_1_a14/}
}
TY  - JOUR
AU  - S. Nadarajah
AU  - S. Kotz
TI  - A Class of $t$ Posterior Distributions with Application
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2008
SP  - 200
EP  - 207
VL  - 53
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TVP_2008_53_1_a14/
LA  - en
ID  - TVP_2008_53_1_a14
ER  - 
%0 Journal Article
%A S. Nadarajah
%A S. Kotz
%T A Class of $t$ Posterior Distributions with Application
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2008
%P 200-207
%V 53
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_2008_53_1_a14/
%G en
%F TVP_2008_53_1_a14
S. Nadarajah; S. Kotz. A Class of $t$ Posterior Distributions with Application. Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 1, pp. 200-207. http://geodesic.mathdoc.fr/item/TVP_2008_53_1_a14/

[1] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971, 1108 pp.

[2] Kotz S., Nadarajah S., Multivariate $t$ distributions and their applications, Cambridge Univ. Press, Cambridge, 2004, 272 pp. | MR | Zbl

[3] Lam E. Y., “Analysis of the DCT coefficient distributions for document coding”, IEEE Signal Processing Lett., 11:2 (2004), 97–100 | DOI

[4] Prudnikov A. P., Brychkov Yu. A., Marichev O. I., Integraly i ryady, v. 1–3, Fizmatlit, M., 2003, 631 pp.; 664 с.; 687 с.

[5] Reininger R. C., Gibson J. D., “Distribution of the two-dimensional DCT coefficients for images”, IEEE Trans. Commun., 31 (1983), 835–839 | DOI