[Sommes, différences, produits et rapports de variables hypergéométriques beta]
Dans des publications récentes, le Professeur T. Pham-Gia a calculé les distributions de sommes, différences, produits et rapports de variables aléatoires beta indépendantes. Dans cette Note, nous étendons les résultats du Professeur Pham-Gia au cas où
Recent papers by Professor T. Pham-Gia derived distributions of sums, differences, products and ratios of independent beta random variables. In this Note we extend Professor Pham-Gia's results when
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Saralees Nadarajah 1
@article{CRMATH_2005__341_2_129_0, author = {Saralees Nadarajah}, title = {Sums, differences, products, and ratios of hypergeometric beta variables}, journal = {Comptes Rendus. Math\'ematique}, pages = {129--132}, publisher = {Elsevier}, volume = {341}, number = {2}, year = {2005}, doi = {10.1016/j.crma.2005.06.013}, language = {en}, }
Saralees Nadarajah. Sums, differences, products, and ratios of hypergeometric beta variables. Comptes Rendus. Mathématique, Volume 341 (2005) no. 2, pp. 129-132. doi : 10.1016/j.crma.2005.06.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.06.013/
[1] Prior assessments for prediction in queues, Statistician, Volume 43 (1994), pp. 139-153
[2] The distribution of product of independent beta random variables with application to multivariate analysis, Ann. Inst. Statist. Math., Volume 33 (1981), pp. 287-296
[3] Computationally convenient distributional assumptions for common-value auctions, Comput. Economics, Volume 12 (1988), pp. 61-78
[4] Table of Integrals, Series, and Products, Academic Press, San Diego, 2000
[5] Handbook of Beta Distribution and its Applications, Marcel Dekker, New York, 2004
[6] Continuous Univariate Distributions, vol. 2, John Wiley, New York, 1995
[7] Distributions of the ratios of independent beta variables and applications, Commun. Statist. Theory, Volume 29 (2000), pp. 2693-2715
[8] Bayesian analysis of the difference of two proportions, Commun. Statist. Theory, Volume 22 (1993), pp. 1755-1771
[9] Reliability of a standby system with beta component lifelength, IEEE Trans. Reliab. (1994), pp. 71-75
[10] Distribution of the linear combination of two general beta variables and applications, Commun. Statist. Theory, Volume 27 (1998), pp. 1851-1869
[11] The product and quotient of general beta distributions, Statist. Papers, Volume 43 (2002), pp. 537-550
[12] On the exact distribution for the product of two independent beta-distributed random variables, Metron, Volume 34 (1976), pp. 187-190
[13] On the distribution of the product of independent beta random variables, Statist. Probab. Lett., Volume 2 (1984), pp. 165-168
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