Open AccessOn a Scheme of Sampling of Two Units With Inclusion With Inclusion
Author(s) -
S. C. Senapati,
L. N. Sahoo,
G. Mishra
Publication year - 2016
Publication title -
österreichische zeitschrift für statistik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.342
H-Index - 9
ISSN - 1026-597X
DOI - 10.17713/ajs.v35i4.354
Subject(s) - estimator , mathematics , variance (accounting) , scheme (mathematics) , probability sampling , statistics , sampling (signal processing) , stability (learning theory) , sampling scheme , minimum variance unbiased estimator , variable (mathematics) , computer science , mathematical analysis , population , demography , accounting , filter (signal processing) , machine learning , sociology , business , computer vision
This paper introduces an unequal probability sampling without replacement scheme with inclusion probability proportional to size. This new scheme possesses some desirable properties with regard to ?i and ?ij , and provides a non-negative variance estimator of the Horvitz and Thompson estimator, when the values of the auxiliary variable fulfill some restrictions. On comparing the suggested scheme with some of the existing sampling schemes in respect of efficiency and stability of the variance estimator empirically, it has been observed that the performance of the scheme is satisfactory.