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A Comment on the Sampling Aspects in the Construction of Index Numbers

โœ Scribed by K. S. Banerjee


Book ID
125759742
Publisher
MIT Press
Year
1960
Tongue
English
Weight
120 KB
Volume
42
Category
Article
ISSN
0034-6535

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Consider {Xj, j>~ 1 }, a sequence of i.i.d., positive, integer-valued random variables. Let K, denote the number of the integer j ~ {1,2,... ,n} for which Xj = maxl~m~~n)=0 and prove that Kn converges almost surely to one, if and only if ~t(P(Xl = n)/P(X1 >~n)) 2 < c~. Some of the results were shown