On statistical independence and density independence
Milan Pasteka
Abstract
The object of observation in present paper is statistical independence of real sequences and its description as independence with re spect to certain class of densities.
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On statistical independence and density independence
Authors
Milan Pasteka
Abstract
The object of observation in present paper is statistical independence of real sequences and its description as independence with re spect to certain class of densities.
Paper Structure
This paper contains 1 theorem, 36 equations.
Key Result
Theorem 1
Let $\{v_1(n)\}, \{v_2(n)\}, \dots, \{v_m(n)\}$ be bounded sequences of real numbers. Then the following statements are eqiuvalent: (i) given sequences are statistically independent (ii) given sequences are $\kappa$ - independent for each sequence $\kappa$ such that these sequence are $\kappa$ measu
Theorems & Definitions (1)
- Theorem 1