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    Wyświetlanie 1-18 z 18
    Tytuł:
    On Classes of Modified Ratio Type And Regression-Cum-Ratio Type Estimators in Sample Surveys Using Two Auxiliary Variables
    Autorzy:
    Swain, A. K. P. C.
    Powiązania:
    https://bibliotekanauki.pl/articles/465714.pdf
    Data publikacji:
    2012
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    ratio type estimators regression-cum-ratio type estimators simple random sampling
    auxiliary variables
    bias
    efficiency
    Opis:
    In this paper generalized classes of modified ratio type and regression-cum-ratio type estimators of the finite population mean of the study variable are suggested in the presence of two auxiliary variables in simple random sampling without replacement when the population means of the auxiliary variables are known in advance. Some special cases of the generalized estimators are compared with respect to their biases and efficiencies both theoretically and with the help of some natural populations.
    Źródło:
    Statistics in Transition new series; 2012, 13, 3; 473-494
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Efficient Difference Type Estimators
    Autorzy:
    Swain, A. K. P. C.
    Powiązania:
    https://bibliotekanauki.pl/articles/465693.pdf
    Data publikacji:
    2010
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Difference type
    Ratio type and Regression type estimators
    Efficiencies of estimators
    Auxiliary information
    Simple random sampling without replacement
    Opis:
    This paper considers a more efficient difference type estimator in a finite population set-up. Ratio type and regression type estimators are derived as special cases. Further efficiencies of these estimators are compared with classical ratio and regression estimators. Numerical illustrations are provided to compare efficiencies of different competitive estimators.
    Źródło:
    Statistics in Transition new series; 2010, 11, 3; 128-135
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalized exponential estimators for the finite population mean
    Autorzy:
    Zaman, Tolga
    Powiązania:
    https://bibliotekanauki.pl/articles/1358310.pdf
    Data publikacji:
    2020-03-23
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    ratio-exponential estimators
    auxiliary attribute
    mean square error
    efficiency
    Opis:
    This study proposes a new class of exponential-type estimators in simple random sampling for the estimation of the population mean of the study variable using information of the population proportion possessing certain attributes. Theoretically, mean squared error (MSE) equations of the suggested ratio exponential estimators are obtained and compared with the Naik and Gupta (1996) ratio and product estimators, the ratio and product exponential estimator presented in Singh et al. (2007) and the ratio exponential estimators presented in Zaman and Kadilar (2019a). As a result of these comparisons, it is observed that the proposed estimators always produce more efficient results than the others. In addition, these theoretical results are supported by the application of original datasets.
    Źródło:
    Statistics in Transition new series; 2020, 21, 1; 159-168
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimation of Population Mean Using Two Auxiliary Sources in Sample Surveys
    Autorzy:
    Shukla, Diwakar
    Pathak, Sharad
    Thakur, Narendra Singh
    Powiązania:
    https://bibliotekanauki.pl/articles/465744.pdf
    Data publikacji:
    2012
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Family of estimators
    SRSWOR
    Bias and Mean squared error
    Opis:
    This paper proposes families for estimation of population mean of the main variable under study using the information on two different auxiliary variables under simple random sampling without replacement (SRSWOR) scheme. Three different classes of estimators are constructed, examined with a complete study with other existing estimators. The expression for bias and mean squared error of the proposed families are obtained up to first order of approximation. Usual ratio estimator, product estimator, dual to ratio estimator, ratio-cum-product type estimator and many more estimators are identified as particular members of the suggested family. Expressions of optimization are derived and theoretical results are supported by numerical examples.
    Źródło:
    Statistics in Transition new series; 2012, 13, 1; 21-36
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A General Family of Dual to Ratio-Cum-Product Estimator in Sample Surveys
    Autorzy:
    Singh, Rajesh
    Kumar, Mukesh
    Chauhan, Pankaj
    Sawan, Nirmala
    Smarandache, Florentin
    Powiązania:
    https://bibliotekanauki.pl/articles/465772.pdf
    Data publikacji:
    2011
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Family of estimators
    auxiliary variables
    bias
    mean-squared error
    Opis:
    This paper presents a family of dual to ratio-cum-product estimators for the finite population mean. Under simple random sampling without replacement (SRSWOR) scheme, expressions of the bias and mean-squared error (MSE) up to the first order of approximation are derived. We show that the proposed family is more efficient than usual unbiased estimator, ratio estimator, product estimator, Singh estimator (1967), Srivenkataramana (1980) and Bandyopadhyaya estimator (1980) and Singh et al. (2005) estimator. An empirical study is carried out to illustrate the performance of the constructed estimator over others.
    Źródło:
    Statistics in Transition new series; 2011, 12, 3; 587-594
    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 study on exponentiated Gompertz distribution under Bayesian discipline using informative priors
    Autorzy:
    Aslam, Muhammad
    Afzaal, Mehreen
    Bhatti, M. Ishaq
    Powiązania:
    https://bibliotekanauki.pl/articles/1917073.pdf
    Data publikacji:
    2021-12-08
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    exponentiated Gompertz distribution
    loss functions
    informative priors
    Bayes estimators
    posterior risks
    Opis:
    The exponentiated Gompertz (EGZ) distribution has been recently used in almost all areas of human endeavours, starting from modelling lifetime data to cancer treatment. Various applications and properties of the EGZ distribution are provided by Anis and De (2020). This paper explores the important properties of the EGZ distribution under Bayesian discipline using two informative priors: the Gamma Prior (GP) and the Inverse Levy Prior (ILP). This is done in the framework of five selected loss functions. The findings show that the two best loss functions are the Weighted Balance Loss Function (WBLF) and the Quadratic Loss Function (QLF). The usefulness of the model is illustrated by the use of reallife data in relation to simulated data. The empirical results of the comparison are presented through a graphical illustration of the posterior distributions.
    Źródło:
    Statistics in Transition new series; 2021, 22, 4; 101-119
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Jackknife winsorized variance estimator under imputed data
    Autorzy:
    Sohil, Fariha
    Sohail, Muhammad Umair
    Shabbir, Javid
    Gupta, Sat
    Powiązania:
    https://bibliotekanauki.pl/articles/2106879.pdf
    Data publikacji:
    2022-06-14
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    adjusted imputation
    jackknife variance estimators
    linearized jackknife
    missing values
    winsorized variance
    Opis:
    In the present study, we consider the problem of missing and extreme values for the estimation of population variance. The presence of extreme values either in the study variable, or the auxiliary variable, or in both of them, can adversely affect the performance of the estimation procedure. We consider three different situations for the presence of extreme values and also consider jackknife variance estimators for the population variance by handling these extreme values under stratified random sampling. Bootstrap technique ABB is carried out to understand the relative relationship more precisely.
    Źródło:
    Statistics in Transition new series; 2022, 23, 2; 17-32
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimation of Population Mean in Post-Stratified Sampling Using Known Value of Some Population Parameter(S)
    Autorzy:
    Onyeka, Aloy C.
    Powiązania:
    https://bibliotekanauki.pl/articles/465814.pdf
    Data publikacji:
    2012
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Auxiliary information
    general family of estimators post-stratified sampling
    mean squared errors
    Opis:
    Following Khoshnevisan et.al. (2007) and Koyuncu and Kadilar (2009), this paper develops a general family of combined estimators of the population mean in post-stratified sampling (PSS) scheme, using known values of some population parameters of an auxiliary variable. Properties of the proposed family of estimators, including conditions for optimal efficiency, are obtained up to first order approximations. The results are illustrated empirically.
    Źródło:
    Statistics in Transition new series; 2012, 13, 1; 65-78
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A General Class of Mean Estimators Using Mixture of Auxiliary Variables for Two-Phase Sampling in the Presence of Non-Response
    Autorzy:
    Ahmad, Zahoor
    Zubair, Rahma
    Shahid, Ummara
    Powiązania:
    https://bibliotekanauki.pl/articles/465687.pdf
    Data publikacji:
    2014
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    non-response
    multi-auxiliary variables
    regression-cum-ratioexponential
    estimators
    no information case
    Opis:
    In this paper we have proposed a general class of estimators for two-phase sampling to estimate the population mean in the case when non-responses occur at the first phase. Furthermore, several continuous and categorical auxiliary variable(s) have been simultaneously used while constructing the class. Also, it is assumed that the information on all auxiliary variables is not available for population, which is often the case. The expressions of the mean square error of the suggested class have been derived and several special cases of the proposed class have been identified. The empirical study has also been conducted.
    Źródło:
    Statistics in Transition new series; 2014, 15, 4; 501-524
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Cost Efficiency of Sampling Designs
    Autorzy:
    Liberts, Mārtiņš
    Powiązania:
    https://bibliotekanauki.pl/articles/466071.pdf
    Data publikacji:
    2013
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    cost efficiency
    simulation study
    survey cost estimation
    survey methodology
    variance of estimators
    Opis:
    The aim of a sample survey is to obtain high quality estimates of population parameters with low cost. The expected precision of estimates and the expected data collection cost are usually unknown making the choice of sampling design a complicated task. Analytical methods can not be used often because of the complexity of the sampling design or data collection process. The aim of this paper is to develop a mathematical framework to compare chosen sampling designs with respect to the expected precision of estimates and the data collection cost. As a result a framework is developed which employs artificial population data generation, survey sampling techniques, survey cost modelling, Monte Carlo simulation experiments and other techniques. The framework is applied to analyse the cost efficiency of the sampling design currently used for the Latvian Labour Force Survey.
    Źródło:
    Statistics in Transition new series; 2013, 14, 1; 7-30
    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:
    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:
    Improved Estimators for Simple Random Sampling and Stratified Random Sampling under Second Order of Approximation
    Autorzy:
    Sharma, Prayas
    Powiązania:
    https://bibliotekanauki.pl/articles/465938.pdf
    Data publikacji:
    2014
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    simple random sampling
    stratified random sampling population mean
    study variable
    exponential ratio type estimators
    bias and MSE
    Opis:
    Singh and Solanki (2012) and Koyuncu (2012) proposed estimators for estimating population meanY. Up to the first order of approximation and under optimum conditions, the minimum mean squared error of both the estimators is equal to the MSE of the regression estimator. In this paper, we have tried to find out the second order biases and mean square errors of these estimators using information on auxiliary variable based on simple random sampling. Finally, we have compared the performance of these estimators with some numerical illustration.
    Źródło:
    Statistics in Transition new series; 2014, 15, 3; 379-390
    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:
    Conditional density function for surrogate scalar response
    Autorzy:
    Boumahdi, Mounir
    Ouassou, Idir
    Rachdi, Mustapha
    Powiązania:
    https://bibliotekanauki.pl/articles/18105167.pdf
    Data publikacji:
    2023-06-13
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Density function
    surrogate response
    functional variable
    almost complete convergence
    kernel estimators
    scalar response
    entropy
    semi-metric space
    Opis:
    This paper presents the estimator of the conditional density function of surrogated scalar response variable given a functional random one. We construct a conditional density function by using the available (true) response data and the surrogate data. Then, we build up some asymptotic properties of the constructed estimator in terms of the almost complete convergences. As a result, we compare our estimator with the classical estimator through the Relatif Mean Square Errors (RMSE). Finally, we end this analysis by displaying the superiority of our estimator in terms of prediction when we are lacking complete data.
    Źródło:
    Statistics in Transition new series; 2023, 24, 3; 117-137
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Modelling sensitive issues on successive waves
    Autorzy:
    Priyanka, Kumari
    Trisandhya, Pidugu
    Powiązania:
    https://bibliotekanauki.pl/articles/1359283.pdf
    Data publikacji:
    2019-04-25
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Sensitive variable
    Successive waves
    Scrambled Response model
    Class of estimators
    Population mean
    Bias
    Mean squared error
    Optimum matching fraction
    Opis:
    This paper addresses the problem of estimation of population mean of sensitive character using non-sensitive auxiliary variable at current wave in two wave successive sampling. A general class of estimator is proposed and studied under randomized and scrambled response model. Many existing estimators have been modified to work for sensitive population mean estimation. The modified estimators became the members of proposed general class of estimators. The detail properties of all the estimators have been discussed. Their behaviour under randomized and scrambled response techniques have been elaborated. Numerical illustrations including simulation have been accompanied to judge the performance of different estimators. Finally suitable recommendations are forwarded.
    Źródło:
    Statistics in Transition new series; 2019, 20, 1; 41-65
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Testing hypotheses about structure of parameters in models with block compound symmetric covariance structure
    Autorzy:
    Zmyślony, Roman
    Kozioł, Arkadiusz
    Powiązania:
    https://bibliotekanauki.pl/articles/1194457.pdf
    Data publikacji:
    2019-07-02
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    coordinate-free approach
    Jordan algebra
    multivariate model
    block compound symmetric covariance structure
    best unbiased estimators
    testing structure of mean vector
    testing independence of block variables
    Opis:
    In this article we deal with testing the hypotheses of the so-called structured mean vector and the structure of a covariance matrix. For testing the above mentioned hypotheses Jordan algebra properties are used and tests based on best quadratic unbiased estimators (BQUE) are constructed. For convenience coordinate-free approach (see Kruskal (1968) and Drygas (1970)) is used as a tool for characterization of best unbiased estimators and testing hypotheses. To obtain the test for mean vector, linear function of mean vector with the standard inner product in null hypothesis is changed into equivalent hypothesis about some quadratic function of mean parameters (it is shown that both hypotheses are equivalent and testable). In both tests the idea of the positive and negative part of quadratic estimators is applied to get the test, statistics which have F distribution under the null hypothesis. Finally, power functions of the obtained tests are compared with other known tests like LRT or Roy test. For some set for parameters in the model the presented tests have greater power than the above mentioned tests. In the article we present new results of coordinate-free approach and an overview of existing results for estimation and testing hypotheses about BCS models.
    Źródło:
    Statistics in Transition new series; 2019, 20, 2; 139-153
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-18 z 18

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