IDEAS home Printed from https://ideas.repec.org/a/spr/sankhb/v86y2024i2d10.1007_s13571-024-00330-2.html
   My bibliography  Save this article

Optimal Random Non Response Frameworks for Mean Estimation on Current Occasion

Author

Listed:
  • Shashi Bhushan

    (University of Lucknow)

  • Shailja Pandey

    (Galgotias University)

Abstract

In this paper, we propose various sampling strategies under random non response framework and proposed estimators to estimate population mean on current occasion. The formulation of the estimator is allied with Cochran (1977) and Searls (J. Am. Stat. Assoc. 59, 1225–1226 1964) in the framework of random non response. The characteristics of each proposed estimator have been studied under optimum replacement policy. We have examined the performance of these estimators under the analytical study and validated it through numerical study. We have also gauged the loss with the available complete response case and reported in numerical illustration. Suitable recommendations have been put forward to the survey statisticians for its practical application.

Suggested Citation

  • Shashi Bhushan & Shailja Pandey, 2024. "Optimal Random Non Response Frameworks for Mean Estimation on Current Occasion," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(2), pages 604-668, November.
    • Handle: RePEc:spr:sankhb:v:86:y:2024:i:2:d:10.1007_s13571-024-00330-2
    DOI: 10.1007/s13571-024-00330-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13571-024-00330-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13571-024-00330-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. S. Prasad & G. N. Singh, 2013. "Best linear unbiased estimators of population mean on current occasion in two-occasion rotation patterns," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 14(1), pages 57-74, March.
    2. Housila P. Singh & Gajendra K. Vishwakarma, 2007. "A general class of estimators in successive sampling," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 201-227.
    3. Shashi Bhushan & Shailja Pandey, 2020. "A cost-effective computational approach with non response on two occasions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(20), pages 4951-4973, October.
    4. H. Singh & P. Chandra & Anwar Joarder & Sarjinder Singh, 2007. "Family of estimators of mean, ratio and product of a finite population using random nonresponse," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(3), pages 565-597, December.
    5. Garib Nath Singh & Jaishree Prabha Karna, 2009. "Estimation of population mean on current occasion in two-occasion successive sampling," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 87-103.
    6. Zoramthanga Ralte & Gitasree Das, 2015. "Ratio-to-regression estimator in successive sampling using one auxiliary variable," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 16(2), pages 183-202, June.
    7. A. Chatterjee & G. N. Singh & A. Bandyopadhyay, 2019. "Estimation of population mean in successive sampling under super-population model in presence of random non response situations," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(15), pages 3850-3863, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Karna Jaishree Prabha & Nath Dilip Chandra, 2018. "Improved Rotation Patterns Using Two Auxiliary Variables In Successive Sampling," Statistics in Transition New Series, Statistics Poland, vol. 19(1), pages 25-44, March.
    2. Jaishree Prabha Karna & Dilip Chandra Nath, 2018. "Improved Rotation Patterns Using Two Auxiliary Variables In Successive Sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 19(1), pages 25-44, March.
    3. Surya K. Pal & Housila P. Singh, 2021. "Ratio-Type Exponential Estimator for the Population Mean at the Current Occasion in the Presence of Non-Response in Successive Sampling," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 371-394, November.
    4. Zoramthanga Ralte & Gitasree Das, 2015. "Ratio-To-Regression Estimator In Successive Sampling Using One Auxiliary Variable," Statistics in Transition New Series, Polish Statistical Association, vol. 16(2), pages 183-202, June.
    5. Zoramthanga Ralte & Gitasree Das, 2015. "Ratio-to-regression estimator in successive sampling using one auxiliary variable," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 16(2), pages 183-202, June.
    6. Ralte Zoramthanga & Das Gitasree, 2015. "Ratio-to-Regression Estimator in Successive Sampling Using One Auxiliary Variable," Statistics in Transition New Series, Statistics Poland, vol. 16(2), pages 183-202, June.
    7. repec:exl:29stat:v:20:y:2019:i:3:p:81-96 is not listed on IDEAS
    8. Khare B. B. & Sinha R. R., 2019. "Estimation Of Product Of Two Population Means By Multi-Auxiliary Characters Under Double Sampling The Non-Respondents," Statistics in Transition New Series, Statistics Poland, vol. 20(3), pages 81-95, September.
    9. Vishwantra Sharma & Sunil Kumar, 2023. "Estimation of population ratio in cluster sampling over successive sampling in the presence of non-response," Quality & Quantity: International Journal of Methodology, Springer, vol. 57(2), pages 1351-1368, April.
    10. S. Prasad & G. N. Singh, 2011. "Some Rotattions Patterns In Two-Phase Sampling," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 12(1), pages 25-44, August.
    11. B. B. Khare & R. R. Sinha, 2019. "Estimation Of Product Of Two Population Means By Multi-Auxiliary Characters Under Double Sampling The Non-Respondents," Statistics in Transition New Series, Polish Statistical Association, vol. 20(3), pages 81-95, September.
    12. Kumari Priyanka & Pidugu Trisandhya & Richa Mittal, 2018. "Dealing sensitive characters on successive occasions through a general class of estimators using scrambled response techniques," METRON, Springer;Sapienza Università di Roma, vol. 76(2), pages 203-230, August.
    13. S. Prasad & G. N. Singh, 2013. "Best linear unbiased estimators of population mean on current occasion in two-occasion rotation patterns," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 14(1), pages 57-74, March.
    14. Kumari Priyanka & Pidugu Trisandhya, 2019. "Modelling Sensitive Issues On Successive Waves," Statistics in Transition New Series, Polish Statistical Association, vol. 20(1), pages 41-65, March.
    15. Singh G. N. & Kumar Amod & Vishwakarma Gajendra K., 2018. "Development Of Chain-Type Exponential Estimators For Population Variance In Two-Phase Sampling Design In Presence Of Random Non-Response," Statistics in Transition New Series, Statistics Poland, vol. 19(4), pages 575-596, December.
    16. Priyanka Kumari & Trisandhya Pidugu, 2019. "Modelling Sensitive Issues On Successive Waves," Statistics in Transition New Series, Statistics Poland, vol. 20(1), pages 41-65, March.
    17. Housila Singh & Sunil Kumar, 2010. "Estimation of population product in presence of non-response in successive sampling," Statistical Papers, Springer, vol. 51(4), pages 975-996, December.
    18. Housila P. Singh & Sunil Kumar, 2011. "Subsampling The Non-Respondents In Cluster Sampling On Sampling On Two Successive Occasions," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 12(1), pages 9-24, August.
    19. G. N. Singh & Amod Kumar & Gajendra K. Vishwakarma, 2018. "Development Of Chain-Type Exponential Estimators For Population Variance In Twophase Sampling Design In Presence Of Random Non-Respons," Statistics in Transition New Series, Polish Statistical Association, vol. 19(4), pages 575-596, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sankhb:v:86:y:2024:i:2:d:10.1007_s13571-024-00330-2. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.