Title :
Modified sampling scheme in inverse sampling without replacement
Author :
Sangngam, Prayad ; Suwattee, Prachoom
Author_Institution :
Dept. of Stat., Nat. Inst. of Dev. Adm., Bangkok, Thailand
Abstract :
Inverse sampling with unequal probabilities without replacement is modified from the Midzuno´s scheme. An unbiased estimator of the population total of a study variable is presented. The variance and the corresponding unbiased estimator of this variance are given. An unbiased estimator of the number of units in a given class, its variance and an unbiased estimate of the variance are also given. These estimators are obtained via the Murthy´s estimator using the Rao-Blackwell approach conditioned on a minimum sufficient statistic. The estimates do not depend on the order of draws and are easy to compute. An example is given to illustrate the idea.
Keywords :
sampling methods; Midzuno scheme; Murthy estimator; Rao-Blackwell approach; inverse sampling; minimum sufficient statistic; modified sampling scheme; unbiased estimator; unequal probabilities; without-replacement sampling; Electronic mail; Information technology; Parameter estimation; Probability; Sampling methods; Statistics; Upper bound; Midzuno´s scheme; Murthy´s estimator; inverse sampling; rare population; unbiased estimator; unequal probabilities;
Conference_Titel :
Networking and Information Technology (ICNIT), 2010 International Conference on
Conference_Location :
Manila
Print_ISBN :
978-1-4244-7579-7
Electronic_ISBN :
978-1-4244-7578-0
DOI :
10.1109/ICNIT.2010.5508445