On the sampling system with probability proportionate to sum of sizes

By Hiroshi Midzuno. 1951

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1. Larry Goldstein
2. Fred Kochman
3. Thomas Nedelec
4. Alexandre Abraham
5. Alexandre Gilotte
6. Clément Calauzènes
7. Simon Dollé
8. Louis H. Y. Chen

Citations in the corpus

• Offline A/B Testing for Recommender Systems (2018, methodology): “Since we actually want an estimator of the ratio 1/Eπt [ W W X = x ] , we can use a rejection sampling technique such as Lahiri’s [14] or Midzuno-Sen method [18, 23] to get an unbiased estimate denoted ˆ IPc (x).”
• Size bias for one and all (2013, methodology): “Hansen and Hurwitz (1943) [46], Midzuno (1952) [66] and Gordon (1993) [44]), and the results we present below are all well known in the folk literature.”