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  • Statistics In Transition

 

Article | 20-September-2020

Through a Random Route to the Goal: Theoretical Background and Application of the Method in Tourism Surveying in Poland

Classic survey methods are ineffective when surveying a small or rare population. Several methods have been developed to address this issue, but often without providing a full mathematical justification. In this paper we propose estimators of parameters relating to Random Route Sampling and explore their basic properties. A formula for the Horvitz-Thompson estimator weights is presented. Finally, a case of a tourism-related survey conducted in Poland is discussed.

Sebastian Wójcik

Statistics in Transition New Series, Volume 21 , ISSUE 3, 185–193

Research Article | 18-March-2020

Horvitz-Thompson estimator based on the auxiliary variable

J. Al-Jararha, Mazen Sulaiman

Statistics in Transition New Series, Volume 21 , ISSUE 1, 37–53

Article | 22-July-2019

APPLICATION OF THE STRATEGY COMBINING MONETARY UNIT SAMPLING AND THE HORVITZ– THOMPSON ESTIMATOR OF ERROR AMOUNT IN AUDITING – RESULTS OF A SIMULATION STUDY

Auditors need information on the performance of different statistical methods when applied to audit populations. The aim of the study was to examine the reliability and efficiency of a strategy combining systematic Monetary Unit Sampling and confidence intervals for the total error based on the Horvitz-Thompson estimator with normality assumption. This strategy is a possible alternative for testing audit populations with high error rates. Using real and simulated data sets, for the majority of

Bartłomiej Janusz

Statistics in Transition New Series, Volume 20 , ISSUE 2, 85–106

Article | 20-December-2020

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

Continuous distribution of variables under study and auxiliary variables are considered. The purpose of the paper is to estimate the mean of the variable under study using a sampling design which is dependent on the observation of a continuous auxiliary variable in the whole population. Auxiliary variable values observed in this population allow to estimate the inclusion density function of the sampling design. The variance of the continuous version of the Horvitz-Thompson estimator under the

Janusz L. Wywiał

Statistics in Transition New Series, Volume 21 , ISSUE 5, 1–16

Article | 06-July-2017

A COMPARISON OF SMALL AREA AND CALIBRATION ESTIMATORS VIA SIMULATION

includes both area effects and unit level random errors. The population is made up of mutually exclusive domains of different sizes, ranging from a small number of units to a large number of units. We select many independent simple random samples of fixed size from the population and compute various estimates for each sample using the available auxiliary information. The estimates computed for the simulation included the Horvitz-Thompson estimator, the synthetic estimator (indirect estimate

Michael A. Hidiroglou, Victor M. Estevao

Statistics in Transition New Series, Volume 17 , ISSUE 1, 133–154

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