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19th International Conference on Computational Statistics Giancarlo Diana, Using Auxiliary Information Under a Pier Francesco Perri Generic Sampling Design Theoretical results Auxiliary information A class of estimators The best


  1. 19th International Conference on Computational Statistics Giancarlo Diana, Using Auxiliary Information Under a Pier Francesco Perri Generic Sampling Design Theoretical results Auxiliary information A class of estimators The best estimator Giancarlo Diana, Pier Francesco Perri Simulation results Simulated π i and π ij Accuracy of π i and Department of Statistical Sciences, University of Padova π ij Department of Economics and Statistics, University of Calabria Conclusions 19th International Conference on Computational Statistics August 22-27, 2010 - Paris, France

  2. Outline 19th International Conference on Computational Statistics Giancarlo Diana, Pier Francesco Theoretical results 1 Perri Auxiliary information Theoretical A class of estimators results Auxiliary information The best estimator A class of estimators The best estimator Simulation results Simulated π i and Simulation results 2 π ij Accuracy of π i and Simulated π i and π ij π ij Accuracy of π i and π ij Conclusions Conclusions 3

  3. Auxiliary information 19th International Conference on Auxiliary information plays a relevant role in sampling to Computational Statistics obtain improved design and/or more efficient estimators Giancarlo Diana, Pier Francesco When auxiliary information is used at the estimation stage, Perri the ratio , product and regression methods are widely Theoretical results employed in many situations Auxiliary information A class of estimators Researchers interested in the estimation of population The best estimator parameters can find a huge variety of proposals in the Simulation results literature. New estimators are usually proposed by modifying Simulated π i and π ij the structure of existing ones but... Accuracy of π i and π ij 1 without reasonable motivations Conclusions 2 comparing them with estimators that are less efficient 3 overlooking that, at best, they can be equivalent to the regression estimator This practice has inundated the literature with papers whose theoretical and practical relevance appears rather questionable

  4. Auxiliary information 19th International Conference on Auxiliary information plays a relevant role in sampling to Computational Statistics obtain improved design and/or more efficient estimators Giancarlo Diana, Pier Francesco When auxiliary information is used at the estimation stage, Perri the ratio , product and regression methods are widely Theoretical results employed in many situations Auxiliary information A class of estimators Researchers interested in the estimation of population The best estimator parameters can find a huge variety of proposals in the Simulation results literature. New estimators are usually proposed by modifying Simulated π i and π ij the structure of existing ones but... Accuracy of π i and π ij 1 without reasonable motivations Conclusions 2 comparing them with estimators that are less efficient 3 overlooking that, at best, they can be equivalent to the regression estimator This practice has inundated the literature with papers whose theoretical and practical relevance appears rather questionable

  5. Auxiliary information 19th International Conference on Auxiliary information plays a relevant role in sampling to Computational Statistics obtain improved design and/or more efficient estimators Giancarlo Diana, Pier Francesco When auxiliary information is used at the estimation stage, Perri the ratio , product and regression methods are widely Theoretical results employed in many situations Auxiliary information A class of estimators Researchers interested in the estimation of population The best estimator parameters can find a huge variety of proposals in the Simulation results literature. New estimators are usually proposed by modifying Simulated π i and π ij the structure of existing ones but... Accuracy of π i and π ij 1 without reasonable motivations Conclusions 2 comparing them with estimators that are less efficient 3 overlooking that, at best, they can be equivalent to the regression estimator This practice has inundated the literature with papers whose theoretical and practical relevance appears rather questionable

  6. Auxiliary information 19th International Conference on Auxiliary information plays a relevant role in sampling to Computational Statistics obtain improved design and/or more efficient estimators Giancarlo Diana, Pier Francesco When auxiliary information is used at the estimation stage, Perri the ratio , product and regression methods are widely Theoretical results employed in many situations Auxiliary information A class of estimators Researchers interested in the estimation of population The best estimator parameters can find a huge variety of proposals in the Simulation results literature. New estimators are usually proposed by modifying Simulated π i and π ij the structure of existing ones but... Accuracy of π i and π ij 1 without reasonable motivations Conclusions 2 comparing them with estimators that are less efficient 3 overlooking that, at best, they can be equivalent to the regression estimator This practice has inundated the literature with papers whose theoretical and practical relevance appears rather questionable

  7. Auxiliary information 19th International Conference on Auxiliary information plays a relevant role in sampling to Computational Statistics obtain improved design and/or more efficient estimators Giancarlo Diana, Pier Francesco When auxiliary information is used at the estimation stage, Perri the ratio , product and regression methods are widely Theoretical results employed in many situations Auxiliary information A class of estimators Researchers interested in the estimation of population The best estimator parameters can find a huge variety of proposals in the Simulation results literature. New estimators are usually proposed by modifying Simulated π i and π ij the structure of existing ones but... Accuracy of π i and π ij 1 without reasonable motivations Conclusions 2 comparing them with estimators that are less efficient 3 overlooking that, at best, they can be equivalent to the regression estimator This practice has inundated the literature with papers whose theoretical and practical relevance appears rather questionable

  8. Auxiliary information 19th International Conference on Auxiliary information plays a relevant role in sampling to Computational Statistics obtain improved design and/or more efficient estimators Giancarlo Diana, Pier Francesco When auxiliary information is used at the estimation stage, Perri the ratio , product and regression methods are widely Theoretical results employed in many situations Auxiliary information A class of estimators Researchers interested in the estimation of population The best estimator parameters can find a huge variety of proposals in the Simulation results literature. New estimators are usually proposed by modifying Simulated π i and π ij the structure of existing ones but... Accuracy of π i and π ij 1 without reasonable motivations Conclusions 2 comparing them with estimators that are less efficient 3 overlooking that, at best, they can be equivalent to the regression estimator This practice has inundated the literature with papers whose theoretical and practical relevance appears rather questionable

  9. Auxiliary information 19th International Conference on Auxiliary information plays a relevant role in sampling to Computational Statistics obtain improved design and/or more efficient estimators Giancarlo Diana, Pier Francesco When auxiliary information is used at the estimation stage, Perri the ratio , product and regression methods are widely Theoretical results employed in many situations Auxiliary information A class of estimators Researchers interested in the estimation of population The best estimator parameters can find a huge variety of proposals in the Simulation results literature. New estimators are usually proposed by modifying Simulated π i and π ij the structure of existing ones but... Accuracy of π i and π ij 1 without reasonable motivations Conclusions 2 comparing them with estimators that are less efficient 3 overlooking that, at best, they can be equivalent to the regression estimator This practice has inundated the literature with papers whose theoretical and practical relevance appears rather questionable

  10. Our aim 19th International Conference on Computational Statistics Giancarlo Diana, Motivated by Bacanli and Kadilar (BK, 2008), we intend to Pier Francesco Perri show how the problem of finding the best estimator for the Theoretical mean of a study variable can be treated under a generic results sampling design by means of a very simple class of Auxiliary information A class of estimators estimators The best estimator Simulation results Simulated π i and π ij Accuracy of π i and π ij The class is not exhaustive and a more general discussion Conclusions can be found, among others, in Diana and Perri (2007) The best estimator in the class is compared with BK estimators according to UPS, where inclusion probability are computed on the basis of a limited numbers of samples

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