CONSTRUCTION OF MULTIDIMENSIONAL DISCRETE DISTRIBUTIONS WITH PREASSIGNED CORRELATION STRUCTURE


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Abstract

The paper is devoted to methods of construction of multidimensional discrete distributions with preassigned correlation structure and marginal distributions. The methods are based on mixture of the basic distributions and on decision of some optimization problems.

References

  1. Новоселов А. А. Воспроизведение дискретных распределений с заданной ковариационной структурой // Материалы II Межрегион. конф. / КГТЭИ. Красноярск, 2009. С. 229-234.
  2. Новоселов А. А. Дискретные распределения с заданной корреляцией, наименее отклоняющиеся от независимого // Тр. XIII Междунар. конф. по эвентологической математике и смежным вопросам / КГТЭИ ; СФУ. Красноярск, 2009. С. 126-131.
  3. Nelsen R. B. An Introduction To Copulas. Springer, 1998.

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Copyright (c) 2010 Novoselov A.A., Novosyolov A.A.

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