Some Estimators in Sampling with Varying Probabilities without Replacement
作者:
Des Raj,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1956)
卷期:
Volume 51,
issue 274
页码: 269-284
ISSN:0162-1459
年代: 1956
DOI:10.1080/01621459.1956.10501326
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The problem considered is estimation of the total value of a character for a finite population from a sample when the units are selected with varying probabilities without replacement. Several unbiased estimators are proposed. Exact expressions and unbiased estimators for the variances of the estimators are obtained. Certain properties of Yates and Grundy's estimator of variance are proved. Examples are included to study the relative performance of the various estimators. The results obtained for unistage sampling in the first part of the paper are extended to multistage designs in the second part.
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