Advances and Applications in Statistics
© 2021 Pushpa Publishing House, Prayagraj, India
http://www.pphmj.com
http://dx.doi.org/10.17654/AS068020125
Volume 68, Number 2, 2021, Pages 125-134 ISSN: 0972-3617
Received: May 29, 2020; Accepted: August 4, 2020
2020 Mathematics Subject Classification: 62G99.
Keywords and phrases: unbiased ratio estimator, mean square error (MSE), non-response.
∗
Corresponding author
ON UNBIASED RATIO ESTIMATOR OF FINITE
POPULATION TOTAL IN STRATIFIED RANDOM
SAMPLING UNDER NON-RESPONSE
David Oyoo
1,∗
, Moses Manene
1
, Christopher Ouma
2
and George Muhua
1
1
School of Mathematics
University of Nairobi
Kenya
e-mail: koyoo2010@gmail.com
2
School of Pure and Applied Sciences
Kenyatta University
Kenya
Abstract
An unbiased ratio-type estimator has been considered by Oyoo et al.
[8] in estimating finite population total under non-response in
stratified random sampling. In their paper, Oyoo et al. [8] assumes that
variation in the ratio ,
i
i
X
Y
R = ( ) N i , , 3 , 2 , 1 … = is much higher
than variation in the response variable, Y and in the auxiliary variable,
X and therefore, while obtaining the expression for the variance,
variations in Y and X are considered negligible. In this paper, however,
we consider variations in R, Y and X and use the result by Hartley and
Ross [3] and Goodman and Hartley [9] to obtain the expression for
variance the estimator by Oyoo et al. [8]. We examine performance of