Page 76 - programme book

ST-005
Estimation with Incomplete Sampling Frames using Varying
Probability Sampling

Jyoti 1, a) and Sarla Pareek 2, b)

1 Department of Mathematics and Statistics, Banasthali Vidyapith,
304022 Banasthali, Rajasthan, India.
2 Department of Mathematics and Statistics, Banasthali Vidyapith,
304022 Banasthali, Rajasthan, India.

a) Corresponding author:jyotidev626@gmail.com
b)psarla13@gmail.com

Abstract. Sampling frames are mostly incomplete in large scale surveys. This paper suggests a
weighted pps estimator of population mean when the sampling frame is incomplete. Bias, mean square
error of the estimators are obtained and further its efficiency is also discussed. The result obtained
have been illustrated with the help of hypothetical data (in case we do not get suitable data we normally
construct hypothetical data)

Keywords: Incomplete sampling frames, bias, mean square error, efficiency, probability proportional
to size (pps) sampling.

ST-006
Alternative Interval Estimation for the Generalized Exponential
Distribution with Interval Censored and Fixed Covariate

1
Nada Mohammed Saeed Alharbi 1, 2, a) , Jayanthi Arasan 1, 3, b) , Nur Haizum Abd.Rahman and
1
Wendy Ling Shin Yie

1 Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia.
2 Department of Mathematics, Faculty of Science, Taibah University, Saudi Arabia.
3 Institute for Mathematical Research, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia.

a) Corresponding author: GS53412@student.upm.edu.my
b) jayanthi@upm.edu.my

Abstract. This paper investigates several alternative methods of constructing confidence interval
estimates based on the bootstrap and jackknife techniques for the generalized exponential distribution
with interval-censored and fixed covariates. Simulation studies were conducted to compare the
bootstrap techniques, which includes bootstrap-t, bootstrap-percentile, and BCa confidence interval
estimation methods, with the jackknife confidence interval estimation methods using coverage
probability. The results indicate that the bootstrap technique works better than the jackknife techniques
when dealing with interval-censored data with fixed covariates.

Keywords: Bootstrap, Jackknife, Interval-censoring, Fixed covariate, Coverage probability study

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