n - Kybernetika
n - Kybernetika
n - Kybernetika
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The Hajek Asymptotics for Finite Population Sampling and Their Ramifications 259<br />
<<br />
n — 1 n(N — n)<br />
N-l N(N-1)J<br />
This inequality (Sen [36]) has further been strengthened by incorporating higher<br />
order moments or moment generating function of U-statistics in a FPS setup. With<br />
due emphasis on FPS asymptotics, we may allow N to be large, and, as in Sen [37],<br />
consider the following.<br />
Let us define Y N = {Y N (t), 0 < t < 1} by letting<br />
Y N (t) = D N<br />
l<br />
Y, ( d m ~ €<br />
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