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    Wyświetlanie 1-15 z 15
    Tytuł:
    A Better Estimator of Population Mean with Power Transformation Based on Ranked Set Sampling
    Autorzy:
    Mehta (Ranka), Nitu
    Mandowara, V. L.
    Powiązania:
    https://bibliotekanauki.pl/articles/466002.pdf
    Data publikacji:
    2012
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    ranked set sampling
    ratio estimator
    power transformation estimator auxiliary variable
    Opis:
    Ranked set sampling (RSS) was first suggested by McIntyre (1952) to increase the efficiency of estimate of the population mean. It has been shown that this method is highly beneficial to the estimation based on simple random sampling (SRS). There has been considerable development and many modifications were done on this method. This paper presents a modified ratio estimator using prior value of coefficient of kurtosis of an auxiliary variable x, with the intention to improve the efficiency of ratio estimator in ranked set sampling. The first order approximation to the bias and mean square error (MSE) of the proposed estimator are obtained. A generalized version of the suggested estimator by applying the Power transformation is also presented.
    Źródło:
    Statistics in Transition new series; 2012, 13, 3; 551-558
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A Class of Regression Type Estimators in Survey Sampling
    Autorzy:
    Misra, Govind Charan
    Yadav, Subhash Kumar
    Shukla, Alok Kumar
    Powiązania:
    https://bibliotekanauki.pl/articles/465942.pdf
    Data publikacji:
    2011
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Auxiliary variable
    Mean Squared Error
    Ratio estimator
    Regression type estimators
    Opis:
    A class of linear regression models has been proposed for the estimation of population mean and total when information regarding auxiliary variate is available in survey sampling using regression method of estimation by introducing a new auxiliary variable z, which may also be a function of the auxiliary variable x. The proposed model leads to reduction in mean squared error as compared to ordinary regression method of estimation. The improvement has been demonstrated over ordinary regression estimator and also on ratio estimator with the help of an empirical example.
    Źródło:
    Statistics in Transition new series; 2011, 12, 3; 579-586
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A Class of Chain Ratio-Cum-Dual to Ratio Type Estimator with Two Auxiliary Characters Under Double Sampling in Sample Surveys
    Autorzy:
    Choudhury, S.
    Singh, B. K.
    Powiązania:
    https://bibliotekanauki.pl/articles/465944.pdf
    Data publikacji:
    2012
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    auxiliary variate
    double sampling
    chain ratio-cum-dual to ratio estimator
    bias
    variance
    efficiency
    Opis:
    This paper considers a chain ratio-cum-dual to ratio type estimator for estimating population mean of the study variate using two auxiliary variates under double (two-phase) sampling procedure, when the information on another additional auxiliary variate is available along with the main auxiliary variate. The asymptotically optimum estimators (AOEs) in the class are identified in two different cases with their bias and variances. The optimum values of the first phase and second phase sample sizes have been obtained for the fixed cost of survey. Theoretical and empirical studies have also been done to demonstrate the efficiency of the proposed estimator with respect to strategies which utilized the information on two auxiliary variates.
    Źródło:
    Statistics in Transition new series; 2012, 13, 3; 519-536
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimating the population mean using a continuous sampling design dependent on an auxiliary variable
    Autorzy:
    Wywiał, Janusz L.
    Powiązania:
    https://bibliotekanauki.pl/articles/1059051.pdf
    Data publikacji:
    2020-12-04
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    continuous sampling design
    Horvits-Thompson estimator
    inclusion density
    sampling scheme
    bivariate gamma distribution
    ratio estimator
    Opis:
    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 proposed sampling design is compared with the variance of the mean of a simple random sample. The accuracy of the estimation strategies is analysed by means of simulation experiments.
    Źródło:
    Statistics in Transition new series; 2020, 21, 5; 1-16
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A comparative study of a class of direct estimators for domain mean with a direct ratio estimator for domain mean using auxiliary character
    Autorzy:
    Khare, Brij Behari
    Ashutosh, Ashutosh
    Rai, Piyush Kant
    Powiązania:
    https://bibliotekanauki.pl/articles/1054559.pdf
    Data publikacji:
    2021-06-04
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    domain
    auxiliary character
    direct ratio estimator
    class of estimators
    mean square error (MSE)
    Opis:
    Estimation techniques for a domain parameter play a very significant role in the theory of sample surveys. In the recent years many advanced methodologies have been developed for domain estimation. In particular, direct and synthetic estimators are applied for the estimation of domain mean in the government and private sectors under certain assumptions as to the size of the samples relating to particular domains. The findings demonstrate that the direct estimator fails to perform more efficiently as compared to the synthetic estimator when reliable units are not directly accessible in the studied domains. Moreover, due to the fact that small units belong to the sample of the studied domain, the direct estimator produces an unacceptably large standard error. In contrast, if a sufficient number of units are available in the studied domain, the direct estimator produces effective results. This paper presents the theoretical aspects of the proposed class of direct estimators for domain mean with the use of a single auxiliary character, compared with an existing direct ratio estimator for domain mean (given in section 3.2). In addition, an empirical study has been provided to support the validity of the proposed estimators. The findings prove that the proposed estimators outperform the direct ratio estimator for domain mean using a single auxiliary character in the case of two studied populations and their analysed domains considered from Sarndal et al. (1992).
    Źródło:
    Statistics in Transition new series; 2021, 22, 2; 189-200
    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:
    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:
    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:
    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:
    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
    Tytuł:
    A Ratio-Cum-Product Estimator of Finite Population Mean in Systematic Sampling
    Autorzy:
    Tailor, Rajesh
    Jatwa, Narendra K.
    Singh, Housila P.
    Powiązania:
    https://bibliotekanauki.pl/articles/465754.pdf
    Data publikacji:
    2014
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    systematic sampling ratio-cum-product estimator
    bias
    mean squared error
    Opis:
    In this paper we consider the problem of estimation of population mean using information on two auxiliary variables in systematic sampling. We have extended Singh (1967) estimator for estimation of population mean in systematic sampling. We have derived the expressions for the bias and mean squared error of the suggested estimator up to the first degree of approximation. We have compared the suggested estimator with existing estimators and obtained the conditions under which the suggested estimator is more efficient. An empirical study has been carried out to demonstrate the performance of the suggested estimator.
    Źródło:
    Statistics in Transition new series; 2014, 15, 3; 391-398
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Chain Ratio Estimator for the Population Mean in the Presence of Non-Response
    Autorzy:
    Khare, B. B.
    Srivastava, U.
    Kumar, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/465661.pdf
    Data publikacji:
    2012
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    chain ratio type estimator
    preliminary sample
    bias
    mean square error
    non-response
    additional auxiliary variable
    Opis:
    In this paper we have proposed two chain ratio type estimators for population mean using two auxiliary variables in the presence of non-response. The proposed estimators have been found to be more efficient than the relevant estimators for the fixed values of preliminary sample of size n′and subsample of size n(
    Źródło:
    Statistics in Transition new series; 2012, 13, 3; 495-518
    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:
    Confidence Intervals for The Ratio of Two Means Using the Distribution of the Quotient of Two Normals
    Autorzy:
    Galeone, Carlotta
    Pollastri, Angiola
    Powiązania:
    https://bibliotekanauki.pl/articles/465934.pdf
    Data publikacji:
    2012
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    estimator of the ratio of two means distribution of the ratio of two correlated normals
    skewness
    confidence intervals for the ratio Fieller’s theorem
    Opis:
    In various scientific fields such as medicine, biology and bioassay, several ratio quantities assumed to be Normal, are of potential interest. The estimator of the ratio of two means is a ratio of two random variables normally or asymptotically normally distributed. The present paper shows the importance of considering the real distribution of the estimator of the ratio of two means, because generally the approximation to Normal is not satisfied. The estimated asymptotic cumulative and density function of the estimator of the ratio is presented, with several considerations on the skewness. Finally, a new method for building confidence intervals for the ratio of two means was proposed. In contrast to other parametric methods, this new method is worthy to be preferred because it considers the skewness in the distribution of the ratio estimator, and the confidence intervals are always bounded.
    Źródło:
    Statistics in Transition new series; 2012, 13, 3; 451-472
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Power ratio cum median-based ratio estimator of finite population mean with known population median
    Autorzy:
    Abdullahi, Umar K.
    Ugwuowo, Fidelis I.
    Lawson, Nuanpan
    Powiązania:
    https://bibliotekanauki.pl/articles/31342145.pdf
    Data publikacji:
    2023-12-07
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    finite population mean
    bias
    mean squared error
    power estimator
    medianbased
    power ratio
    Opis:
    The search for an efficient estimator of the finite population mean has been a critical problem to the sample survey research community. This study is motivated by the fact that the conducted literature review showed that no research has developed such an average ratio estimator of the population mean that would utilize both the population and the sample medians of study variable, as well as the Srivastava (1967) estimator at a time. In this paper we proposed the power ratio cum median-based ratio estimator of the finite population mean, which is a function of two ratio estimators in the form of an average. The estimator assumes the population to be homogeneous and skewed. The properties (i.e. the Bias and the Mean Squared Error - MSE) of the proposed estimator were derived alongside its asymptotically optimum MSE. We demonstrated the efficiency of the proposed estimator jointly with its efficiency conditions by comparing it to selected estimators described in the literature. Empirically, a real-life dataset from the literature and a simulation study from two skewed distributions (Gamma and Weibull) were used to examine the efficiency gain. The empirical analysis and simulation study demonstrated that the efficiency gain is significant. Hence, the practical application of the proposed estimator is recommended, especially in socio-economic surveys.
    Źródło:
    Statistics in Transition new series; 2023, 24, 5; 35-44
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-15 z 15

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