Top

Annals of Data Science

Published in:

25-01-2022

A Comparative Study on Calibration Approach Based Estimators for Domain Estimation Utilizing Power Function: Revisited

Authors: Ashutosh, Piyush Kant Rai, Ajeet Kumar Singh

Published in: Annals of Data Science | Issue 6/2023

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

The calibration approach based estimators of the domain mean have growing demand during past couple of decades. Estimation of domains is another challenging task for surveyors and several efforts have been made to produce the reliable estimators for this purpose. Prominently the power function based estimators in the sample surveys are having dual advantages for the selection and their application to produce an improved estimation at any stage in the terms of efficiency without much complexity. In the domain estimation utilization of the power function in the development of calibration based estimators are also very promising and provide considerable results. A simulation study has examined for the comparison of several calibration estimators along with the proposed estimator in terms of the absolute relative bias and simulated relative standard error.

previous article Machine Learning for Cloud Cover Detection Using Multispectral Satellite Images

next article VNS Based MADM-Strategy Under Possibility Environment

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Ashutosh (2021) Calibration estimation of domain total utilizing power function. Taru J Organ Behav Anal

Chandra H, Salvati N, Chamber R (2018) Small area estimation under a spatially non-linear model. Comput Stat Data Anal 126:19–38CrossRef

Deville JC, Sarndal CE (1992) Calibration estimators in survey sampling. J Amer Stat Assoc 87:376–382CrossRef

Ekaette IE, Etebong PC (2020) An efficient class of estimators of domain mean in survey sampling. Commun Math Stat 8(3):279–293CrossRef

Gonzalez ME (1973) Use and evaluation of synthetic estimates. In: Proceeding of the social statistical section, American Statistical Association, pp 33–36

Horvitz DG, Thompson DJ (1952) A generalization of sampling without replacement from a finite universe. J Am Stat Assoc 2:169

Khare BBA, Khare S (2018) Modified direct regression estimator for domain mean using auxiliary character. Int J Appl Math Stat 57(6):10–20

Longford NT (2005) Missing data and small-area estimation. Springer, Berlin

Nguyen HJ (2011) An introduction to calibration estimators. Waterloo Math Rev 2(1):16–22

10.

Rao JNK (2003) Small area estimation. Willey, New YorkCrossRef

11.

Rahman A (2008) A review of small area estimation problems and methodological developments. University of Canada, NATSEM

12.

Sarndal CE, Swensson B, Wretman JH (1992) Model assisted survey sampling. Springer, New YorkCrossRef

13.

Singh S (2003) Advanced sampling theory with applications. Springer, New YorkCrossRef

14.

Tikkiwal BD (1993) Model through surveys data for small domains. In: Proceeding International Scientific conference on Small Area Statistics and Surveys Design Held in September, 1992, Warsaw, Poland, pp 37–75

15.

Tikkiwal GC, Rai PK, Ghiya A (2013) On the performance of generalized regression estimator for small domains. Commun Stat-Simul Compt 42:891–909CrossRef

16.

Wu C, Sitter RR (2001) A model-calibration approach to using complete information from survey data. J Am Stat Assoc 96:185–193CrossRef

Title: A Comparative Study on Calibration Approach Based Estimators for Domain Estimation Utilizing Power Function: Revisited
Authors: Ashutosh
Piyush Kant Rai
Ajeet Kumar Singh
Publication date: 25-01-2022
Publisher: Springer Berlin Heidelberg
Published in: Annals of Data Science / Issue 6/2023
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI: https://doi.org/10.1007/s40745-021-00365-6

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 6/2023

Simulating Fréchet Distribution Under Multiply Censored Partially Accelerated Life Testing

Statistical Inference to the Parameter of the Akshaya Distribution under Competing Risks Data with Application HIV Infection to AIDS

Parametric Classification using Fuzzy Approach for Handling the Problem of Mixed Pixels in Ground Truth Data for a Satellite Image

Statistical Analysis Under Geometric Process in Accelerated Life Testing Plans for Generalized Exponential Distribution

Machine Learning for Cloud Cover Detection Using Multispectral Satellite Images

VNS Based MADM-Strategy Under Possibility Environment

Premium Partner