NDLI: Sampling design proportional to order statistic of auxiliary variable

Please wait, while we are loading the content...

Franco Taroni, Colin Aitken, Paolo Garbolino, Alex Biedermann: Bayesian networks and probabilistic inference in forensic science (Statistics in Practice) : April 2006, Hardcover, US $100.00

Phillip I. Good, James W. Hardin, Common errors in statistics

Jean-Michel Marin, Christian P. Robert: Bayesian Core. A Practical Approach to Computational Bayesian Statistics

Statistical Papers : Volume 49, Issue 1, March 2008

Statistical Papers : Volume 48

Statistical Papers : Volume 47

Statistical Papers : Volume 46

Statistical Papers : Volume 45

Statistical Papers : Volume 44

Statistical Papers : Volume 43

Statistical Papers : Volume 42

Statistical Papers : Volume 41

Statistical Papers : Volume 40

Statistical Papers : Volume 39

Statistical Papers : Volume 38

Sampling design proportional to order statistic of auxiliary variable

Content Provider	Springer Nature Link
Author	Wywiał, Janusz L.
Copyright Year	2006
Abstract	The sampling designs dependent on sample moments of auxiliary variables are well known. Lahiri (Bull Int Stat Inst 33:133–140, 1951) considered a sampling design proportionate to a sample mean of an auxiliary variable. Sing and Srivastava (Biometrika 67(1):205–209, 1980) proposed the sampling design proportionate to a sample variance while Wywiał (J Indian Stat Assoc 37:73–87, 1999) a sampling design proportionate to a sample generalized variance of auxiliary variables. Some other sampling designs dependent on moments of an auxiliary variable were considered e.g. in Wywiał (Some contributions to multivariate methods in, survey sampling. Katowice University of Economics, Katowice, 2003a); Stat Transit 4(5):779–798, 2000) where accuracy of some sampling strategies were compared, too.These sampling designs cannot be useful in the case when there are some censored observations of the auxiliary variable. Moreover, they can be much too sensitive to outliers observations. In these cases the sampling design proportionate to the order statistic of an auxiliary variable can be more useful. That is why such an unequal probability sampling design is proposed here. Its particular cases as well as its conditional version are considered, too. The sampling scheme implementing this sampling design is proposed. The inclusion probabilities of the first and second orders were evaluated. The well known Horvitz–Thompson estimator is taken into account. A ratio estimator dependent on an order statistic is constructed. It is similar to the well known ratio estimator based on the population and sample means. Moreover, it is an unbiased estimator of the population mean when the sample is drawn according to the proposed sampling design dependent on the appropriate order statistic.
Starting Page	277
Ending Page	289
Page Count	13
File Format	PDF
ISSN	09325026
Journal	Statistical Papers
Volume Number	49
Issue Number	2
e-ISSN	16139798
Language	English
Publisher	Springer-Verlag
Publisher Date	2006-07-25
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Sampling design Order statistic Sample quantile Auxiliary variable Horvitz–Thompson statistic Ratio estimator Inclusion probabilities Sampling scheme Operations Research/Decision Theory Economic Theory Probability Theory and Stochastic Processes Statistics for Business/Economics/Mathematical Finance/Insurance
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Estimation of Mean on The Basis of Conditional Simple Random Sample

ESTIMATION OF MEAN ON THE BASIS OF CONDITIONAL SIMPLE RANDOM SAMPLE

On conditional sampling strategies

Estimation of Domain Means on The Basis of Strategy Dependent on Depth Function of Auxiliary Variables’ Distribution

On Conditional Simple Random Sample

Simple random sample equivalent survey designs reducing undesirable units from a finite population

Estimating the population mean using a continuous sampling design dependent on an auxiliary variable

A new approximate formula for variance of horvitz– thompson estimator using first order inclusion probabilities.

Unbiased and almost unbiased ratio estimators of the population mean in ranked set sampling

Sampling design proportional to order statistic of auxiliary variable

Similar Documents

Estimation of Mean on The Basis of Conditional Simple Random Sample

ESTIMATION OF MEAN ON THE BASIS OF CONDITIONAL SIMPLE RANDOM SAMPLE

On conditional sampling strategies

Estimation of Domain Means on The Basis of Strategy Dependent on Depth Function of Auxiliary Variables’ Distribution

On Conditional Simple Random Sample

Simple random sample equivalent survey designs reducing undesirable units from a finite population

Estimating the population mean using a continuous sampling design dependent on an auxiliary variable

A new approximate formula for variance of horvitz– thompson estimator using first order inclusion probabilities.

Unbiased and almost unbiased ratio estimators of the population mean in ranked set sampling

Sampling design proportional to order statistic of auxiliary variable