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  • 1
    Electronic Resource
    Electronic Resource
    A probability inequality (1968)
    Springer
    Mathematical notes 3 (1968), S. 467-472 
    Details
    ISSN: 1573-8876
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The inequalities due to S. N. Bernshtein for the probability of P (¦Yn¦⩾ r), where ¦ Yn¦ is the length of the vector of the normalized sum of the independent and identically distributed vectors and r 〉 0 is an arbitrary quantity are extended to the case of two and three dimensions. Some results are also given in the multidimensional case.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01110608
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