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    Wyświetlanie 1-15 z 15
    Tytuł:
    Estimation of finite population mean using two auxiliary variables under stratified random sampling
    Autorzy:
    Yadav, Rohini
    Tailor, Rajesh
    Powiązania:
    https://bibliotekanauki.pl/articles/1358426.pdf
    Data publikacji:
    2020-03-23
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Study variable
    auxiliary variable
    stratified random sampling
    dual to ratio estimator
    bias and mean squared error
    Opis:
    This paper addresses the problem of an alternative approach to estimating the population mean of the study variable with the help of the auxiliary variable under stratified random sampling. The properties of the suggested estimator have been studied under large sample approximation. It has been demonstrated that the suggested estimator is more efficient than other considered estimators. To judge the merits of the proposed estimator, an empirical study has been carried out to support the present study.
    Źródło:
    Statistics in Transition new series; 2020, 21, 1; 1-12
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Almost Unbiased Ratio and Product Type Exponential Estimators
    Autorzy:
    Yadav, Rohini
    Upadhyaya, Lakshmi N.
    Singh, Housila P.
    Chatterjee, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/465956.pdf
    Data publikacji:
    2012
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    study variable
    auxiliary variable
    almost unbiased ratio-type and product-type exponential estimators bias
    mean squared error
    Opis:
    This paper considers the problem of estimating the population mean Y of the study variate y using information on auxiliary variate x. We have suggested a generalized version of Bahl and Tuteja (1991) estimator and its properties are studied. It is found that asymptotic optimum estimator (AOE) in the proposed generalized version of Bahl and Tuteja (1991) estimator is biased. In some applications, biasedness of an estimator is disadvantageous. So applying the procedure of Singh and Singh (1993) we derived an almost unbiased version of AOE. A numerical illustration is given in the support of the present study.
    Źródło:
    Statistics in Transition new series; 2012, 13, 3; 537-550
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A calibrated synthetic estimator for small area estimation
    Autorzy:
    Iseh, Matthew Joshua
    Enang, Ekaette Inyang
    Powiązania:
    https://bibliotekanauki.pl/articles/1827531.pdf
    Data publikacji:
    2021-09-06
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    auxiliary variable
    calibration estimation
    simulation
    synthetic estimation
    Opis:
    Synthetic estimators are known to produce estimates of population mean in areas where no sampled data are available, but such estimates are usually highly biased with invalid confidence statements. This paper presents a calibrated synthetic estimator of the population mean which addresses these problematic issues. Two known special cases of this estimator were obtained in the form of combined ratio and combined regression synthetic estimators, using selected tuning parameters under stratified sampling. In result, their biases and variance estimators were derived. The empirical demonstration of the usage involving the proposed calibrated estimators shows that they provide better estimates of the population mean than the existing estimators discussed in this study. In particular, the estimators were examined through simulation under three distributional assumptions, namely the normal, gamma and exponential distributions. The results show that they provide estimates of the mean displaying less relative bias and greater efficiency. Moreover, they prove more consistent than the existing classical synthetic estimator. The further evaluation carried out using the coefficient of variation provides additional confirmation of the calibrated estimator's advantage over the existing ones in relation to small area estimation.
    Źródło:
    Statistics in Transition new series; 2021, 22, 3; 15-30
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Improved Separate Ratio Exponential Estimator for Population Mean Using Auxiliary Information
    Autorzy:
    Yadav, Rochini
    Upadhyaya, Lakshmi N.
    Singh, Housila P.
    Chatterjee, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/465985.pdf
    Data publikacji:
    2011
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Study variable
    auxiliary variable
    stratified random sampling
    separate ratio estimator
    separate product estimator
    bias and mean squared error
    Opis:
    This paper advocates the improved separate ratio exponential estimator for population mean of the study variable y using the information based on auxiliary variable x in stratified random sampling. The bias and mean squared error (MSE) of the suggested estimator have been obtained upto the first degree of approximation. The theoretical and numerical comparisons are carried out to show the efficiency of the suggested estimator over sample mean estimator, usual separate ratio and separate product estimator.
    Źródło:
    Statistics in Transition new series; 2011, 12, 2; 401-412
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimating population coefficient of variation using a single auxiliary variable in simple random sampling
    Autorzy:
    Singh, Rajesh
    Mishra, Madhulika
    Powiązania:
    https://bibliotekanauki.pl/articles/1186918.pdf
    Data publikacji:
    2019-12-10
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    coefficient of variation
    simple random sampling
    auxiliary variable
    mean square error
    Opis:
    This paper proposes an improved estimation method for the population coefficient of variation, which uses information on a single auxiliary variable. The authors derived the expressions for the mean squared error of the proposed estimators up to the first order of approximation. It was demonstrated that the estimators proposed by the authors are more efficient than the existing ones. The results of the study were validated by both empirical and simulation studies.
    Źródło:
    Statistics in Transition new series; 2019, 20, 4; 89-111
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Application of Order Statistics of Auxiliary Variable to Estimation the Population Mean
    Autorzy:
    Wywiał, Janusz L.
    Powiązania:
    https://bibliotekanauki.pl/articles/465810.pdf
    Data publikacji:
    2012
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Order statistic
    sample quantile
    auxiliary variable
    sampling scheme
    sampling design
    concomitant
    Opis:
    Estimation of the population average in a finite population by means of sampling strategies dependent on an auxiliary variable highly correlated with a variable under study is considered. The sample is drawn with replacement on the basis of the probability distribution of an order statistic of the auxiliary variable. Observations of the variable under study are the values of the concomitant of the order statistic. The mean of the concomitant values is the estimator of a population mean of the variable under study. The expected value and the variance of the estimator are derived. The limit distributions of the considered estimators were considered. Finally, on the basis of simulation analysis, the accuracy of the estimator is considered.
    Źródło:
    Statistics in Transition new series; 2012, 13, 2; 279-286
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Ratio estimation of two population means in two-phase stratified random sampling under a scrambled response situation
    Autorzy:
    Das, Pitambar
    Singh, Garib Nath
    Bandyopadhyay, Arnab
    Powiązania:
    https://bibliotekanauki.pl/articles/31342165.pdf
    Data publikacji:
    2023-12-07
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    stratified random sampling
    scrambled response
    auxiliary variable
    mean square error
    simulation study
    Opis:
    In this paper, we have described the development of an effective two-phase stratified random sampling estimation procedure in a scrambled response situation. Two different exponential, regression-type estimators were formed separately for different structures of two-phase stratified sampling schemes. We have studied the properties of the suggested strategy. The performance of the proposed strategy has been demonstrated through numerical evidence based on a data set of a natural population and a population generated through simulation studies. Taking into consideration the encouraging findings, suitable recommendations for survey statisticians are prepared for the application of the proposed strategy in real-life conditions.
    Źródło:
    Statistics in Transition new series; 2023, 24, 5; 45-61
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Conditional Simple Random Sample
    Autorzy:
    Wywiał, Janusz L.
    Powiązania:
    https://bibliotekanauki.pl/articles/465622.pdf
    Data publikacji:
    2014
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    simple random sample
    conditional sampling design
    sampling scheme
    inclusion probabilities
    auxiliary variable
    order statistics
    Opis:
    Estimation of the population average in a finite and fixed population on the basis of the conditional simple random sampling design dependent on order statistics of the auxiliary variable is studied. The sampling scheme implementing the sampling design is proposed. The inclusion probabilities are derived. The well known Horvitz-Thompson statistic under the conditional simple random sampling designs is considered as the estimator of population mean. Moreover, it was shown that the Horvitz-Thompson estimator under some particular cases of the conditional simple random sampling design is more accurate than the ordinary mean from the simple random sample.
    Źródło:
    Statistics in Transition new series; 2014, 15, 4; 525-534
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Ratio-To-Regression Estimator In Successive Sampling Using One Auxiliary Variable
    Autorzy:
    Ralte, Zoramthanga
    Das, Gitasree
    Powiązania:
    https://bibliotekanauki.pl/articles/973550.pdf
    Data publikacji:
    2015
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    ratio-to-regression estimator
    auxiliary variable
    successive sampling
    bias
    mean square error
    optimum replacement policy
    Opis:
    The problem of estimation of finite population mean on the current occasion based on the samples selected over two occasions has been considered. In this paper, first a chain ratio-to-regression estimator was proposed to estimate the population mean on the current occasion in two-occasion successive (rotation) sampling using only the matched part and one auxiliary variable, which is available in both the occasions. The bias and mean square error of the proposed estimator is obtained. We proposed another estimator, which is a linear combination of the means of the matched and unmatched portion of the sample on the second occasion. The bias and mean square error of this combined estimator is also obtained. The optimum mean square error of this combined estimator was compared with (i) the optimum mean square error of the estimator proposed by Singh (2005) (ii) mean per unit estimator and (iii) combined estimator suggested by Cochran (1977) when no auxiliary information is used on any occasion. Comparisons are made both analytically as well as empirically by using real life data.
    Źródło:
    Statistics in Transition new series; 2015, 16, 2; 183-202
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Performing quantiles in multiple regression sampling strategy
    Ocena wartości przeciętnej za pomocą regresyjnej strategii losowania wykorzystującej kwantyle zmiennej pomocniczej
    Autorzy:
    Wywiał, Janusz
    Powiązania:
    https://bibliotekanauki.pl/articles/907013.pdf
    Data publikacji:
    2008
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    sampling design
    order statistic
    sample quantile
    auxiliary variable
    Horvitz-Thompson statistic
    inclussion probabilities
    sampling scheme
    regression estimator
    Opis:
    Estimation of the population average in a finite population by means of sampling strategy dependent on the sample quantile of an auxiliary variables is considered. The sampling design is proportionate to the determinant of the matrix dependent on some quantiles of an auxiliary variables. The sampling scheme implementing the sampling design is proposed. The derived inclusion probabilities are applied to estimation the population mean using the well known Horvitz-Thompson estimator. Moreover, the regression estimator is defined as the function of the coefficient dependent on the quantiles of the auxiliary variables. The properties of this estimator under the above defined sampling design are studied. The considerations are supported by empirical examples.
    Problem oceny wartości średniej z wykorzystaniem danych o wszystkich wartościach cech pomocniczych jest rozważany. W tym celu znany estymator regresyjny zależny od wielu zmiennych pomocniczych jest wykorzystywany. W odróżnieniu od zwykłego podejścia znanego w metodzie reprezentacyjnej do oceny parametrów regresji są wykorzystywane kwantyle jednej ze zmiennych dodatkowych. Otrzymane na tym polu wyniki są adoptowane do konstrukcji predytorów wartości średniej w nadpopulacji. Wyprowadzono również wariancje różnych odmian proponowanych predykatorów.
    Źródło:
    Acta Universitatis Lodziensis. Folia Oeconomica; 2008, 216
    0208-6018
    2353-7663
    Pojawia się w:
    Acta Universitatis Lodziensis. Folia Oeconomica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sampling Designs Proportionate to Sum of Two Order Statistics of Auxiliary Variable
    Autorzy:
    Wywiał, Janusz L.
    Powiązania:
    https://bibliotekanauki.pl/articles/465790.pdf
    Data publikacji:
    2013
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    sampling design
    order statistic
    sample quantile
    auxiliary variable
    Horvitz-Thompson statistic
    inclusion probabilities
    sampling scheme
    ratio estimator
    Opis:
    In this paper the case of a conditional sampling design proportional to the sum of two order statistics is considered. Several strategies including the Horvitz-Thompson estimator and ratio-type estimators are discussed. The accuracy of these estimators is analyzed on the basis of computer simulation experiments.
    Źródło:
    Statistics in Transition new series; 2013, 14, 2; 231-248
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Ocena dokładności obrębowej metody inwentaryzacji lasu opartej na losowaniu warstwowym
    Assessment of the accuracy of the forest district inventory method based on the stratified sampling
    Autorzy:
    Bruchwald, A.
    Miścicki, S.
    Dmyterko, E.
    Stereńczak, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/988954.pdf
    Data publikacji:
    2017
    Wydawca:
    Polskie Towarzystwo Leśne
    Tematy:
    lesnictwo
    miazszosc drzewostanow
    inwentaryzacja lasu
    metoda obrebowa
    losowanie warstwowe
    dokladnosc
    auxiliary variable
    dominant tree species
    sample allocation
    stratum
    Opis:
    The aim of the research was to assess the accuracy of the stratified sampling method used to estimate the standing volume of a forest district and to compare it with the accuracy of simple random sampling methods. The paper presents the variability of the variables affecting the accuracy of the stratified sampling method. We attempted to find the ways to increase this accuracy. The research was based on the empirical material collected on approximately 42,000 sample plots with a size of 50−500 m², and with an average of 737 plots per forest district. The standard deviation of the merchantable volume of trees on sample plots ranged from 87 to 213 m³/ha, with an average of 128 m³/ha. The coefficient of variation ranged from 5.3 to 28.5% (the average 40.8%). Using a simple random sampling method, the standard error of the volume ranged from 3.3 to 10.0 m³/ha (the average 4.8 m³/ha) and the relative error – from 1.01 to 3.41% (the average 1.55%). The absolute error of the stratified sampling method under which strata are formed on the basis of the main tree species and its age ranged from 2.9 to 7.4 m³/ha, the average 4.2 m³/ha, and the relative error ranged from 0.65 to 1.95%, 1.02% on average (tab.). The accuracy of the stratified sampling method was by 15% higher than that of the simple random sampling method. We found that the relationship between the volume of a sample plot and the main tree species and its age measured by the correlation coefficient was 0.453 on average. For the relationship between volume and age of stands this coefficient was on average 0.422, while between volume and main tree species – only 0.118. Stand age – as an auxiliary variable in formation of strata – proved to be of moderate usefulness resulting from a small difference in the standing volume of stands in older age classes. Main tree species turned out to be of slight usefulness in formation of strata, therefore it seems reasonable to find some other auxiliary variables to replace it.
    Źródło:
    Sylwan; 2017, 161, 11; 909-916
    0039-7660
    Pojawia się w:
    Sylwan
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimation of Domain Means on The Basis of Strategy Dependent on Depth Function of Auxiliary Variables’ Distribution
    Autorzy:
    Wywiał, Janusz L.
    Powiązania:
    https://bibliotekanauki.pl/articles/465849.pdf
    Data publikacji:
    2011
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    sampling design
    order statistic
    auxiliary variable
    sampling scheme
    Horvitz-Thompson estimator
    small area estimation
    area sampling
    depth function
    Opis:
    The paper deals with the problem of estimation of a domain means in a finite and fixed population. We assume that observations of a multidimensional auxiliary variable are known in the population. The proposed estimation strategy consists of the well known Horvitz-Thompson estimator and the non-simple sampling design dependent on a synthetic auxiliary variable whose observations are equal to the values of a depth function of the auxiliary variable distribution. The well known spherical and Mahalanobis depth functions are considered. A sampling design is proportionate to the maximal order statistic determined on the basis of the synthetic auxiliary variable observations in a simple sample drawn without replacement. A computer simulation analysis leads to the conclusion that the proposed estimation strategy is more accurate for domain means than the well known simple sample means.
    Źródło:
    Statistics in Transition new series; 2011, 12, 1; 127-138
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Simulation analysis of accuracy estimation of population mean on the basis of regression type strategy dependent on order statistic of auxiliary variable
    Autorzy:
    Wywiał, Janusz L
    Powiązania:
    https://bibliotekanauki.pl/articles/658095.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    sampling design
    order statistic
    auxiliary variable
    sampling scheme
    estimation
    strategy
    accuracy comparison
    relative efficiency
    regression estimator
    Horvitz-Thomson estimator
    Opis:
    Problem dotyczy oceny wartości średnie (globalnej) zmiennej w populacji ustalonej I skończonej. Zakład się, że z góry są znane w populacji wartości dodatniej zmiennej pomocniczej. Do estymacji użyto strategia kwantylowej zależnej m.in. od planu losowania proporcjonalnego do nieujemnej funkcji kwantyla z próby zmiennej pomocniczej. Ponadto, brano pod uwagę estymator Horvitza- Thompsona oraz estymator ilorazowy. Porównanie dokładności przeprowadzono na podstawie symulacji komputerowej.
    Źródło:
    Acta Universitatis Lodziensis. Folia Oeconomica; 2011, 255
    0208-6018
    2353-7663
    Pojawia się w:
    Acta Universitatis Lodziensis. Folia Oeconomica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimation of Mean on The Basis of Conditional Simple Random Sample
    Autorzy:
    Wywiał, Janusz L.
    Powiązania:
    https://bibliotekanauki.pl/articles/466050.pdf
    Data publikacji:
    2016
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    conditional sampling design
    order statistic
    concomitant
    sample quantile
    auxiliary variable
    Horvitz-Thompson statistic
    inclusion probabilities
    sampling scheme
    ratio estimator
    Opis:
    Estimation of the population mean in a finite and fixed population on the basis of the conditional simple random sampling design dependent on order statistics (quantiles) of an auxiliary variable is considered. Properties of the well-known Horvitz-Thompson and ratio type estimators as well as the sample mean are taken into account under the conditional simple random sampling designs. The considered examples of empirical analysis lead to the conclusion that under some additional conditions the proposed estimation strategies based on the conditional simple random sample are usually more accurate than the mean from the simple random sample drawn without replacement.
    Źródło:
    Statistics in Transition new series; 2016, 17, 3; 411-428
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-15 z 15

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