Densities for unbalanced measures of a linear Cantor set
β Scribed by Meifeng Dai
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 158 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1573-8175
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π SIMILAR VOLUMES
Let K be the attractor of a linear iterated function system Sj x = Οjx + bj (j = 1, . . . , m) on the real line satisfying the open set condition (where the open set is an interval). It is well known that the packing dimension of K is equal to Ξ±, the unique positive solution y of the equation m j=1
In thie paper we preaent a procedure to meewvB the degree of imbalance of an unbdanoed dab set. The procadnre ie baaed on chooeing an appropriate loglinear model for the mbclaaa fquenciea of the data. A meaeure of imbalsnce ie then introduced 88 nome function of the chi-squared etetistic need in the
Facult e e de pharmacie and Centre de recherches math e ematiques, Universit e e de Montr e eal, C.P. 6128, Succ. Centre-ville, Montr e eal (Qu e ebec), Canada H3C 3J7