The law of the iterated logarithm for normalized empirical distribution function
Probability Theory and Related FieldsPublished 1 January 1977Open access
E. Cs�ki
Citations49
SJR quartileQ1
SJR score2.63
SNIP1.87
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Abstract
This paper deals with the law of the iterated logarithm and its analogues for sup $$\mathop {\sup }\limits_{\left( x \right)} \left| {x - F_n \left( x \right)} \right|\left( {x\left( {1 - x} \right)} \right)^{ - \tfrac{1}{2}} $$ , where the sup is taken on an interval of the form (a n ,b n ),(0≦a n <b n ≦1). Under certain conditions on a n and b n the corresponding lim sup results will be proved.
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Mathematics
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