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Biometrika 1986 73(3):761-763; doi:10.1093/biomet/73.3.761
© 1986 by Biometrika Trust
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An unequal probability sampling scheme

R. R. SAXENA, PADAM SINGH and A. K. SRIVASTAVA

National Council of Educational Research and Traning New Delhi 110016, India
Perspective Planning Division, Planning Commission New Delhi 110001, India
Indian Agricultural Statistics Research Institute New Delhi 110012, India

A new sampling scheme, with probability of inclusion proportional to size, is proposed for a sample of given size n. It satisfies many requirements of a good sampling scheme under conditions usually met in practice. Empirical exploration of the feasibility of the proposed sampling scheme and of the stability of its variance, shows satisfactory performance.

Key Words: Bernoulli trial • Inclusion probability proportional to size • Nonnegativity of variance estimator • Unequal probability selection


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