The stabilized sieve sample selection method (SSM) is considered to be a probability proportional to size (PPS) sampling method with an unbiased estimator (Horgan 1997, 1998). This article demonstrates that SSM does not select items with PPS and that the point estimator is biased.
Guan, Liming and Wendell, John P.
"Bias in Stabilized Sieve Sampling,"
Journal of Modern Applied Statistical Methods: Vol. 8
, Article 23.
Available at: http://digitalcommons.wayne.edu/jmasm/vol8/iss1/23