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    Wyświetlanie 1-7 z 7
    Tytuł:
    Efficient estimation of population mean in the presence of non-response and measurement error
    Autorzy:
    Tiwari, Kuldeep Kumar
    Sharma, Vishwantra
    Powiązania:
    https://bibliotekanauki.pl/articles/18105157.pdf
    Data publikacji:
    2023-06-13
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    non-response
    measurement error
    mean squared error
    efficiency
    mean estimation
    Opis:
    In real-world surveys, non-response and measurement errors are common, therefore studying them together seems rational. Some population mean estimators are modified and studied in the presence of non-response and measurement errors. Bias and mean squared error expressions are derived under different cases. For all estimators, a theoretical comparison is made with the sample mean per unit estimator. The Monte-Carlo simulation is used to present a detailed picture of all estimators' performance.
    Źródło:
    Statistics in Transition new series; 2023, 24, 3; 95-116
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An Approximation To The Optimal Subsample Allocation For Small Areas
    Autorzy:
    Molefe, W. B.
    Shangodoyin, D. K.
    Clark, R. G.
    Powiązania:
    https://bibliotekanauki.pl/articles/973548.pdf
    Data publikacji:
    2015
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    composite estimation
    mean squared error
    sample design
    small area estimation
    sample size allocation
    Taylor approximation
    Opis:
    This paper develops allocation methods for stratified sample surveys in which small area estimation is a priority. We assume stratified sampling with small areas as the strata. Similar to Longford (2006), we seek efficient allocation that minimizes a linear combination of the mean squared errors of composite small area estimators and of an estimator of the overall mean. Unlike Longford, we define mean-squared error in a model-assisted framework, allowing a more natural interpretation of results using an intra-class correlation parameter. This allocation has an analytical form for a special case, and has the unappealing property that some strata may be allocated no sample. We derive a Taylor approximation to the stratum sample sizes for small area estimation using composite estimation giving priority to both small area and national estimation.
    Źródło:
    Statistics in Transition new series; 2015, 16, 2; 163-182
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Small Area Estimation in the German Census 2011
    Autorzy:
    Münnich, Ralf
    Burgard, Jan Pablo
    Gabler, Siegfried
    Ganninger, Matthias
    Kolb, Jan-Philipp
    Powiązania:
    https://bibliotekanauki.pl/articles/465802.pdf
    Data publikacji:
    2016
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    register-assisted census
    small area estimation
    design optimisation
    relative root mean squared error
    Opis:
    In 2011, Germany conducted the first census after the reunification. In contrast to a classical census, a register-assisted census was implemented using population register data and an additional sample. This paper provides an overview of how the sampling design recommendations were set up in order to fulfil legal requirements and to guarantee an optimal but still flexible source of information. The aim was to develop a design that fosters an accurate estimation of the main objective of the census, the total population counts. Further, the design should also adequately support the application of small area estimation methods. Some empirical results are given to provide an assessment of selected methods. The research was conducted within the German Census Sampling and Estimation research project, financially supported by the German Federal Statistical Office.
    Źródło:
    Statistics in Transition new series; 2016, 17, 1; 25-40
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal allocation for equal probability two-stage design
    Autorzy:
    Molefe, Wilford
    Powiązania:
    https://bibliotekanauki.pl/articles/2156993.pdf
    Data publikacji:
    2022-12-15
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    sample designs
    optimal allocation
    composite estimation
    mean squared error
    two-stage sampling
    simple random sampling without replacement
    Opis:
    This paper develops optimal designs when it is not feasible for every cluster to be represented in a sample as in stratified design, by assuming equal probability two-stage sampling where clusters are small areas. The paper develops allocation methods for two-stage sample surveys where small-area estimates are a priority. We seek efficient allocations where the aim is to minimize the linear combination of the mean squared errors of composite small area estimators and of an estimator of the overall mean. We suggest some alternative allocations with a view to minimizing the same objective. Several alternatives, including the area-only stratified design, are found to perform nearly as well as the optimal allocation but with better practical properties. Designs are evaluated numerically using Switzerland canton data as well as Botswana administrative districts data.
    Źródło:
    Statistics in Transition new series; 2022, 23, 4; 129-148
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A Two-Parameter Lindley Distribution
    Autorzy:
    Shanker, R.
    Mishra, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/465861.pdf
    Data publikacji:
    2013
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Lindley distribution
    moments
    failure rate function
    mean residual life function
    stochastic ordering
    estimation of parameters
    goodness of fit
    Opis:
    A two-parameter Lindley distribution, of which the Lindley distribution (LD) is a particular case, has been introduced. Its moments, failure rate function, mean residual life function and stochastic orderings have been discussed. The maximum likelihood method and the method of moments have been discussed for estimating its parameters. The distribution has been fitted to some data-sets to test its goodness of fit.
    Źródło:
    Statistics in Transition new series; 2013, 14, 1; 45-56
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Missing data estimation based on the chaining technique in survey sampling
    Autorzy:
    Singh Thakur, Narendra
    Shukla, Diwakar
    Powiązania:
    https://bibliotekanauki.pl/articles/2156986.pdf
    Data publikacji:
    2022-12-15
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    estimation
    missing data
    chaining
    imputation
    bias
    mean squared error (MSE)
    factor type (F-T)
    chain type estimator
    double sampling
    Opis:
    Sample surveys are often affected by missing observations and non-response caused by the respondents' refusal or unwillingness to provide the requested information or due to their memory failure. In order to substitute the missing data, a procedure called imputation is applied, which uses the available data as a tool for the replacement of the missing values. Two auxiliary variables create a chain which is used to substitute the missing part of the sample. The aim of the paper is to present the application of the Chain-type factor estimator as a means of source imputation for the non-response units in an incomplete sample. The proposed strategies were found to be more efficient and bias-controllable than similar estimation procedures described in the relevant literature. These techniques could also be made nearly unbiased in relation to other selected parametric values. The findings are supported by a numerical study involving the use of a dataset, proving that the proposed techniques outperform other similar ones.
    Źródło:
    Statistics in Transition new series; 2022, 23, 4; 91-111
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the smoothed parametric estimation of mixing proportion under fixed design regression model
    Autorzy:
    Ramakrishnaiah, Y. S.
    Trivedi, Manish
    Satish, Konda
    Powiązania:
    https://bibliotekanauki.pl/articles/1359251.pdf
    Data publikacji:
    2019-04-25
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    mixture of distributions
    mixing proportion
    smoothed parametric estimation
    fixed design regression model
    mean square error
    optimal band width
    strong consistency
    asymptotic normality
    Opis:
    The present paper revisits an estimator proposed by Boes (1966) - James (1978), herein called BJ estimator, which was constructed for estimating mixing proportion in a mixed model based on independent and identically distributed (i.i.d.) random samples, and also proposes a completely new (smoothed) estimator for mixing proportion based on independent and not identically distributed (non-i.i.d.) random samples. The proposed estimator is nonparametric in true sense based on known “kernel function” as described in the introduction. We investigated the following results of the smoothed estimator under the non-i.i.d. set-up such as (a) its small sample behaviour is compared with the unsmoothed version (BJ estimator) based on their mean square errors by using Monte-Carlo simulation, and established the percentage gain in precision of smoothed estimator over its unsmoothed version measured in terms of their mean square error, (b) its large sample properties such as almost surely (a.s.) convergence and asymptotic normality of these estimators are established in the present work. These results are completely new in the literature not only under the case of i.i.d., but also generalises to non-i.i.d. set-up.
    Źródło:
    Statistics in Transition new series; 2019, 20, 1; 87-102
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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