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Performance measures for some bivariate Pareto distributions. (English) Zbl 1140.93479

Summary: Bivariate Pareto distributions arise naturally when it comes to comparing the performances of two systems. In this note, explicit expressions are derived for a relative measure of performance for every known bivariate Pareto distribution. The calculations involve the use of Gauss hypergeometric function.

MSC:

93E03 Stochastic systems in control theory (general)
Full Text: DOI

References:

[1] Balakrishnan N., The Exponential Distribution: Theory, Methods and Applications (1995) · Zbl 0919.62002
[2] de Groot M.H., Optimal Statistical Decisions (1970)
[3] Gradshteyn I.S., Tables of Integrals, Series, and Products (2000) · Zbl 0981.65001
[4] Hutchinson T.P., The Engineering Statistician’s Guide to Continuous Bivariate Distributions (1991)
[5] DOI: 10.1002/0471722065 · doi:10.1002/0471722065
[6] DOI: 10.1007/BF02491480 · Zbl 0624.62047 · doi:10.1007/BF02491480
[7] Nadarajah S., Serdica Math. J. 28 pp 1001– (2002)
[8] DOI: 10.1016/S0895-7177(03)00107-9 · Zbl 1045.62107 · doi:10.1016/S0895-7177(03)00107-9
[9] DOI: 10.1016/S0895-7177(03)00074-8 · Zbl 1045.62106 · doi:10.1016/S0895-7177(03)00074-8
[10] DOI: 10.1155/S1024123X0431104X · Zbl 1070.62093 · doi:10.1155/S1024123X0431104X
[11] Nadarajah S., Engng Simul. 26 pp 81– (2004)
[12] DOI: 10.1155/MPE.2005.101 · Zbl 1069.62081 · doi:10.1155/MPE.2005.101
[13] DOI: 10.1155/MPE.2005.151 · Zbl 1094.62132 · doi:10.1155/MPE.2005.151
[14] Nadarajah S., Metron pp 191– (2003)
[15] Prudnikov A.P., Integrals and Series (volumes 1, 2 and 3) (1986)
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