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    Wyświetlanie 1-9 z 9
    Tytuł:
    Estimation of Finite Population Mean Using Deciles of an Auxiliary Variable
    Autorzy:
    Subramani, J.
    Kumarapandiyan, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/466087.pdf
    Data publikacji:
    2013
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    mean squared error
    natural populations
    simple random sampling
    Opis:
    The present paper deals with a class of modified ratio estimators for estimation of population mean of the study variable when the population deciles of the auxiliary variable are known. The biases and the mean squared errors of the proposed estimators are derived and compared with that of existing modified ratio estimators for certain known populations. Further, we have also derived the conditions for which the proposed estimators perform better than the existing modified ratio estimators. From the numerical study it is also observed that the proposed modified ratio estimators perform better than the existing modified ratio estimators.
    Źródło:
    Statistics in Transition new series; 2013, 14, 1; 75-88
    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:
    Some classes of modified ratio type estimators in sample surveys
    Autorzy:
    Swain, A. K. P. C.
    Das, Manjula
    Powiązania:
    https://bibliotekanauki.pl/articles/466061.pdf
    Data publikacji:
    2015
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    ratio type estimator
    simple random sampling
    bias
    mean square error
    efficiency
    Opis:
    In this paper some classes of modified ratio type estimators with additive and multiplicative adjustments made to the simple mean per unit estimator and classical ratio estimator are suggested to obtain more efficient ratio type estimators compared to the classical one. Their biases and mean square errors are obtained and compared with first order approximations.
    Źródło:
    Statistics in Transition new series; 2015, 16, 1; 37-52
    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:
    A Class of Product-Type Exponential Estimators of the Population Mean in Simple Random Sampling Scheme
    Autorzy:
    Onyeka, A. C.
    Powiązania:
    https://bibliotekanauki.pl/articles/465727.pdf
    Data publikacji:
    2013
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    ratio-type and product-type exponential estimators
    auxiliary character
    simple random sampling
    mean square error
    Opis:
    The present study proposes a class of product-type exponential estimators for estimating the population mean of the study variable, using known values of some population parameters of an auxiliary character, under the simple random sampling without replacement (SRSWOR) scheme. Furthermore, the study also proposes a modified exponential estimator based on both the ratio-type and the product-type exponential estimators. Properties of the proposed estimators, under the SRSWOR scheme, are obtained up to first order approximation. The modified exponential estimator under optimum conditions is shown to be more efficient than the simple sample mean and the ratio-type and product-type exponential estimators. The theoretical results are supported by an empirical illustration.
    Źródło:
    Statistics in Transition new series; 2013, 14, 2; 189-200
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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:
    Improved Estimators of Coefficient of Variation in a Finite Population
    Autorzy:
    Archana, V.
    Aruna Rao, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/465691.pdf
    Data publikacji:
    2011
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Model based comparison
    Coefficient of Variation
    Simple Random Sampling Regression estimator
    Mean Square Error
    Confidence interval
    Opis:
    Coefficient of Variation (C.V) is a unitless measure of dispersion. Hence it is widely used in many scientific and social investigations. Although a lot of work has been done concerning C.V in the infinite population models, it has been neglected in the finite populations. Many areas of applications of C.V involves the finite populations like the use in official statistics and economic surveys of the World Bank. This has motivated us to propose six new estimators of the population C.V. In finite population studies regression estimators are widely used and the idea is exploited to propose the new estimators. Three of the proposed estimators are the regression estimators of the C.V for the study variable while the other three estimators makes use of the regression estimators of population mean and variance to estimate the ratio , the population C.V for the study variable. The bias and mean square error (MSE) of these estimators were derived for the simple random sampling design. The performance of these estimators is compared using two real life data sets. The simulation is carried out to compare the estimators in terms of coverage probability and the length of the confidence interval. The small sample comparison indicates that two of the proposed estimators perform better than the sample C.V. The regression estimator using the information on the Population C.V of the auxiliary variable emerges as the best estimator.
    Źródło:
    Statistics in Transition new series; 2011, 12, 2; 357-380
    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:
    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
      Wyświetlanie 1-9 z 9

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