Stat Colloquium: Dr. Anurag Dey
University of Maryland, College Park (UMCP)
Friday, October 4, 2024 · 11 AM - 12 PM
Title: Estimators of the mean of infinite dimensional data in finite populations
Abstract: In this seminar, I shall discuss several estimators of finite population mean, when the data are infinite dimensional in nature. The performance of these estimators will be compared under different sampling designs and superpopulations satisfying linear models based on their asymptotic distributions. One of the major findings is that although the use of the auxiliary information in the estimation stage usually improves the performance of different estimators, the use of the auxiliary information in the sampling design stage often has adverse effects on the performance of these estimators. This seminar is based on a joint research work with my Ph.D. supervisor Prof. Probal Chaudhuri.
Abstract: In this seminar, I shall discuss several estimators of finite population mean, when the data are infinite dimensional in nature. The performance of these estimators will be compared under different sampling designs and superpopulations satisfying linear models based on their asymptotic distributions. One of the major findings is that although the use of the auxiliary information in the estimation stage usually improves the performance of different estimators, the use of the auxiliary information in the sampling design stage often has adverse effects on the performance of these estimators. This seminar is based on a joint research work with my Ph.D. supervisor Prof. Probal Chaudhuri.