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  • 标题:Matrix Variate Pareto Distribution of the Second Kind
  • 本地全文:下载
  • 作者:Daya K. Nagar ; Lata Joshi ; Arjun K. Gupta
  • 期刊名称:ISRN Probability and Statistics
  • 电子版ISSN:2090-472X
  • 出版年度:2012
  • 卷号:2012
  • DOI:10.5402/2012/789273
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We generalize the univariate Pareto distribution of the second kind to the matrix case and give its derivation using matrix variate gamma distribution. We study several properties such as cumulative distribution function, marginal distribution of submatrix, triangular factorization, moment generating function, and expected values of the Pareto matrix. Some of these results are expressed in terms of special functions of matrix arguments, zonal, and invariant polynomials.
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