A stratified estimation of a sensitive character by using geometric distribution

Gi Sung Lee; Ki Hak Hong; Chang Kyoon Son; Jong Min Kim

doi:10.1080/03610926.2019.1586939

A stratified estimation of a sensitive character by using geometric distribution

Gi Sung Lee, Ki Hak Hong, Chang Kyoon Son, Jong Min Kim

Statistics (Morris)

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we consider the estimation of a sensitive character when the population is consisted of several strata; this is undertaken by applying Niharika et al.’s model which is using geometric distribution as a randomization device. A sensitive parameter is estimated for the case in which stratum size is known, and proportional and optimum allocation methods are taken into account. We extended the Niharika et al.’s model to the case of an unknown stratum size; a sensitive parameter is estimated by applying stratified double sampling to the Niharika et al.’s model. Finally, the efficiency of the proposed model is compared with that of Niharika et al. in terms of the estimator variance.

Original language	English (US)
Pages (from-to)	3184-3205
Number of pages	22
Journal	Communications in Statistics - Theory and Methods
Volume	49
Issue number	13
DOIs	https://doi.org/10.1080/03610926.2019.1586939
State	Published - Jul 2 2020

Bibliographical note

Funding Information:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2018R1D1A3B07044007).

Publisher Copyright:
© 2019, © 2019 Taylor & Francis Group, LLC.

Keywords

Niharika et al. model
Randomized response model
geometric distribution
sensitive character
stratified sampling

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10.1080/03610926.2019.1586939

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title = "A stratified estimation of a sensitive character by using geometric distribution",

abstract = "In this paper, we consider the estimation of a sensitive character when the population is consisted of several strata; this is undertaken by applying Niharika et al.{\textquoteright}s model which is using geometric distribution as a randomization device. A sensitive parameter is estimated for the case in which stratum size is known, and proportional and optimum allocation methods are taken into account. We extended the Niharika et al.{\textquoteright}s model to the case of an unknown stratum size; a sensitive parameter is estimated by applying stratified double sampling to the Niharika et al.{\textquoteright}s model. Finally, the efficiency of the proposed model is compared with that of Niharika et al. in terms of the estimator variance.",

keywords = "Niharika et al. model, Randomized response model, geometric distribution, sensitive character, stratified sampling",

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AU - Son, Chang Kyoon

AU - Kim, Jong Min

N1 - Funding Information: This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2018R1D1A3B07044007). Publisher Copyright: © 2019, © 2019 Taylor & Francis Group, LLC.

PY - 2020/7/2

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A stratified estimation of a sensitive character by using geometric distribution

Abstract

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Keywords

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