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Maximum likelihood procedure adapted to sampling schemes
Authors:Hirohisa Kishino  Avner Bar-Hen
Institution:

a Department of Social and International Relations, University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153, Japan

b Institute of Statistical Mathematics, 4-6-7 Minami Azabu Minato-Ku, Tokyo 106, Japan

Abstract:This paper considers a maximum likelihood procedure for the data obtained by sampling surveys such as stratified sampling and two-stage sampling. We evaluate the variance of the estimators and the distribution of the log-likelihood ratio statistic.
Keywords:Maximum likelihood procedure  Kullback–Leibler information quantity  Sampling survey  Stratified sampling  Two-stage sampling  Survey with varying sampling fractions
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