On the efficiency of systematic sampling in ratio and product estimation

Summary In this paper the possibility of gain in efficiency in systematic sampling as compared to simple random sampling has been considered when a ratio or product estimator is used to improve upon the conventional unbiased estimator. The expression for the variance of the estimators are derived fo...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Singh, M. P. [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	1967

Schlagwörter:	Systematic Sampling Unbiased Estimator Previous Stage Simple Random Sampling Systematic Selection

Anmerkung:	© Physica-Verlag 1967

Übergeordnetes Werk:	Enthalten in: Metrika - Physica-Verlag, 1958, 11(1967), 1 vom: Dez., Seite 199-205
Übergeordnetes Werk:	volume:11 ; year:1967 ; number:1 ; month:12 ; pages:199-205

Links:	Volltext

DOI / URN:	10.1007/BF02613590

Katalog-ID:	OLC2061379222

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allfields	10.1007/BF02613590 doi (DE-627)OLC2061379222 (DE-He213)BF02613590-p DE-627 ger DE-627 rakwb eng 510 VZ Singh, M. P. verfasserin aut On the efficiency of systematic sampling in ratio and product estimation 1967 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Physica-Verlag 1967 Summary In this paper the possibility of gain in efficiency in systematic sampling as compared to simple random sampling has been considered when a ratio or product estimator is used to improve upon the conventional unbiased estimator. The expression for the variance of the estimators are derived for multistage design where systematic selection is used at the ultimate-stage with any probability scheme at the previous stages. In particular the results for the uni-stage systematic sampling and for two-stage sampling with systematic selection at the second-stage have been obtained in section 3. Systematic Sampling Unbiased Estimator Previous Stage Simple Random Sampling Systematic Selection Enthalten in Metrika Physica-Verlag, 1958 11(1967), 1 vom: Dez., Seite 199-205 (DE-627)12908171X (DE-600)3502-6 (DE-576)014414619 0026-1335 nnns volume:11 year:1967 number:1 month:12 pages:199-205 https://doi.org/10.1007/BF02613590 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_74 GBV_ILN_252 GBV_ILN_267 GBV_ILN_754 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4330 GBV_ILN_4700 AR 11 1967 1 12 199-205
spelling	10.1007/BF02613590 doi (DE-627)OLC2061379222 (DE-He213)BF02613590-p DE-627 ger DE-627 rakwb eng 510 VZ Singh, M. P. verfasserin aut On the efficiency of systematic sampling in ratio and product estimation 1967 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Physica-Verlag 1967 Summary In this paper the possibility of gain in efficiency in systematic sampling as compared to simple random sampling has been considered when a ratio or product estimator is used to improve upon the conventional unbiased estimator. The expression for the variance of the estimators are derived for multistage design where systematic selection is used at the ultimate-stage with any probability scheme at the previous stages. In particular the results for the uni-stage systematic sampling and for two-stage sampling with systematic selection at the second-stage have been obtained in section 3. Systematic Sampling Unbiased Estimator Previous Stage Simple Random Sampling Systematic Selection Enthalten in Metrika Physica-Verlag, 1958 11(1967), 1 vom: Dez., Seite 199-205 (DE-627)12908171X (DE-600)3502-6 (DE-576)014414619 0026-1335 nnns volume:11 year:1967 number:1 month:12 pages:199-205 https://doi.org/10.1007/BF02613590 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_74 GBV_ILN_252 GBV_ILN_267 GBV_ILN_754 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4330 GBV_ILN_4700 AR 11 1967 1 12 199-205
allfields_unstemmed	10.1007/BF02613590 doi (DE-627)OLC2061379222 (DE-He213)BF02613590-p DE-627 ger DE-627 rakwb eng 510 VZ Singh, M. P. verfasserin aut On the efficiency of systematic sampling in ratio and product estimation 1967 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Physica-Verlag 1967 Summary In this paper the possibility of gain in efficiency in systematic sampling as compared to simple random sampling has been considered when a ratio or product estimator is used to improve upon the conventional unbiased estimator. The expression for the variance of the estimators are derived for multistage design where systematic selection is used at the ultimate-stage with any probability scheme at the previous stages. In particular the results for the uni-stage systematic sampling and for two-stage sampling with systematic selection at the second-stage have been obtained in section 3. Systematic Sampling Unbiased Estimator Previous Stage Simple Random Sampling Systematic Selection Enthalten in Metrika Physica-Verlag, 1958 11(1967), 1 vom: Dez., Seite 199-205 (DE-627)12908171X (DE-600)3502-6 (DE-576)014414619 0026-1335 nnns volume:11 year:1967 number:1 month:12 pages:199-205 https://doi.org/10.1007/BF02613590 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_74 GBV_ILN_252 GBV_ILN_267 GBV_ILN_754 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4330 GBV_ILN_4700 AR 11 1967 1 12 199-205
allfieldsGer	10.1007/BF02613590 doi (DE-627)OLC2061379222 (DE-He213)BF02613590-p DE-627 ger DE-627 rakwb eng 510 VZ Singh, M. P. verfasserin aut On the efficiency of systematic sampling in ratio and product estimation 1967 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Physica-Verlag 1967 Summary In this paper the possibility of gain in efficiency in systematic sampling as compared to simple random sampling has been considered when a ratio or product estimator is used to improve upon the conventional unbiased estimator. The expression for the variance of the estimators are derived for multistage design where systematic selection is used at the ultimate-stage with any probability scheme at the previous stages. In particular the results for the uni-stage systematic sampling and for two-stage sampling with systematic selection at the second-stage have been obtained in section 3. Systematic Sampling Unbiased Estimator Previous Stage Simple Random Sampling Systematic Selection Enthalten in Metrika Physica-Verlag, 1958 11(1967), 1 vom: Dez., Seite 199-205 (DE-627)12908171X (DE-600)3502-6 (DE-576)014414619 0026-1335 nnns volume:11 year:1967 number:1 month:12 pages:199-205 https://doi.org/10.1007/BF02613590 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_74 GBV_ILN_252 GBV_ILN_267 GBV_ILN_754 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4330 GBV_ILN_4700 AR 11 1967 1 12 199-205
allfieldsSound	10.1007/BF02613590 doi (DE-627)OLC2061379222 (DE-He213)BF02613590-p DE-627 ger DE-627 rakwb eng 510 VZ Singh, M. P. verfasserin aut On the efficiency of systematic sampling in ratio and product estimation 1967 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Physica-Verlag 1967 Summary In this paper the possibility of gain in efficiency in systematic sampling as compared to simple random sampling has been considered when a ratio or product estimator is used to improve upon the conventional unbiased estimator. The expression for the variance of the estimators are derived for multistage design where systematic selection is used at the ultimate-stage with any probability scheme at the previous stages. In particular the results for the uni-stage systematic sampling and for two-stage sampling with systematic selection at the second-stage have been obtained in section 3. Systematic Sampling Unbiased Estimator Previous Stage Simple Random Sampling Systematic Selection Enthalten in Metrika Physica-Verlag, 1958 11(1967), 1 vom: Dez., Seite 199-205 (DE-627)12908171X (DE-600)3502-6 (DE-576)014414619 0026-1335 nnns volume:11 year:1967 number:1 month:12 pages:199-205 https://doi.org/10.1007/BF02613590 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_26 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_74 GBV_ILN_252 GBV_ILN_267 GBV_ILN_754 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4330 GBV_ILN_4700 AR 11 1967 1 12 199-205
language	English
source	Enthalten in Metrika 11(1967), 1 vom: Dez., Seite 199-205 volume:11 year:1967 number:1 month:12 pages:199-205
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topic_facet	Systematic Sampling Unbiased Estimator Previous Stage Simple Random Sampling Systematic Selection
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author	Singh, M. P.
spellingShingle	Singh, M. P. ddc 510 misc Systematic Sampling misc Unbiased Estimator misc Previous Stage misc Simple Random Sampling misc Systematic Selection On the efficiency of systematic sampling in ratio and product estimation
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topic_title	510 VZ On the efficiency of systematic sampling in ratio and product estimation Systematic Sampling Unbiased Estimator Previous Stage Simple Random Sampling Systematic Selection
topic	ddc 510 misc Systematic Sampling misc Unbiased Estimator misc Previous Stage misc Simple Random Sampling misc Systematic Selection
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title	On the efficiency of systematic sampling in ratio and product estimation
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title_full	On the efficiency of systematic sampling in ratio and product estimation
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title_sort	on the efficiency of systematic sampling in ratio and product estimation
title_auth	On the efficiency of systematic sampling in ratio and product estimation
abstract	Summary In this paper the possibility of gain in efficiency in systematic sampling as compared to simple random sampling has been considered when a ratio or product estimator is used to improve upon the conventional unbiased estimator. The expression for the variance of the estimators are derived for multistage design where systematic selection is used at the ultimate-stage with any probability scheme at the previous stages. In particular the results for the uni-stage systematic sampling and for two-stage sampling with systematic selection at the second-stage have been obtained in section 3. © Physica-Verlag 1967
abstractGer	Summary In this paper the possibility of gain in efficiency in systematic sampling as compared to simple random sampling has been considered when a ratio or product estimator is used to improve upon the conventional unbiased estimator. The expression for the variance of the estimators are derived for multistage design where systematic selection is used at the ultimate-stage with any probability scheme at the previous stages. In particular the results for the uni-stage systematic sampling and for two-stage sampling with systematic selection at the second-stage have been obtained in section 3. © Physica-Verlag 1967
abstract_unstemmed	Summary In this paper the possibility of gain in efficiency in systematic sampling as compared to simple random sampling has been considered when a ratio or product estimator is used to improve upon the conventional unbiased estimator. The expression for the variance of the estimators are derived for multistage design where systematic selection is used at the ultimate-stage with any probability scheme at the previous stages. In particular the results for the uni-stage systematic sampling and for two-stage sampling with systematic selection at the second-stage have been obtained in section 3. © Physica-Verlag 1967
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title_short	On the efficiency of systematic sampling in ratio and product estimation
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