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Distribution of product and quotient of Pareto variates. (English) Zbl 0461.62020


MSC:

62E15 Exact distribution theory in statistics
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References:

[1] Casteliani, M.: On multinomial distributions with limited freedom: a stochastic genesis of Pareto’s and Pearson’s curves. Ann. Math. Statist.21, 289–293. · Zbl 0041.46101
[2] Johnson, N.L., andS. Kotz: Distributions in Statistics: Continuous Univariate Distributions–1. New York 1970. · Zbl 0213.21101
[3] Krishnaji, N.: Characterization of the Pareto distribution through a model of under-reported incomes. Econometrica38, 1970, 254–257. · doi:10.2307/1913007
[4] Malik, H.J.: A characterization of the Pareto distribution. Skand. Aktuarietidskr., 1970, 115–117. · Zbl 0233.62004
[5] Mardia, K.V.: Multivariate Pareto distribution. Ann. Math. Statist.33, 1962, 1008–1015. · Zbl 0109.13303 · doi:10.1214/aoms/1177704468
[6] Pareto, V.: Cours d’Economie Politique. Lausanne Paris 1897.
[7] Srivastava, M.S.: A characterization of Pareto’s distribution and (k+1) timesx to thek divided by theta to the (k+1). Ann. Math. Statist.36, 1965, 361–362.
[8] Wang, Y.H.: On characterization of some probability distributions and estimation of the parameters of the Pareto distribution. Ph. D. Dissertation Ohio State University, 1971.
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