Estimating Per Capita Rates Using Aggregate Measurements From Groups of Diverse Compositions

DOI

10.2991/jsta.2015.14.2.7How to use a DOI?

Keywords

Estimation, Sampling, Grouped data

Abstract

This paper considers the problem of estimating a variable mean for a population of elements where data are only available as aggregate sums for groups of multiple elements. The proposed model addresses an additional complication created when the group measure includes the contribution of diverse elements that were only partially in operation or present as part of the group during the measurement period. The model also accounts for statistical dependency between the contributions of individuals belonging to the same group. The degree of statistical dependency is reflected in a correlation coefficient parameter, which, while not observable, can be adjusted to reduce heteroscedasticity in the group data. A simple example is provided to illustrate the model.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Donald N. Stengel
AU  - Priscilla Chaffe-Stengel
PY  - 2015
DA  - 2015/06/30
TI  - Estimating Per Capita Rates Using Aggregate Measurements From Groups of Diverse Compositions
JO  - Journal of Statistical Theory and Applications
SP  - 192
EP  - 203
VL  - 14
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2015.14.2.7
DO  - 10.2991/jsta.2015.14.2.7
ID  - Stengel2015
ER  -