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    Wyświetlanie 1-8 z 8
    Tytuł:
    Best Linear Unbiased Estimators of Population Mean on Current Occasion in Two-Occasion Rotation Patterns
    Autorzy:
    Singh, G. N.
    Prasad, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/465782.pdf
    Data publikacji:
    2013
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    successive sampling
    auxiliary information
    unbiased
    variance
    optimum replacement policy
    Opis:
    Best linear unbiased estimators have been proposed to estimate the population mean on current occasion in two-occasion successive (rotation) sampling. Behavior of the proposed estimators have been studied and their respective optimum replacement policies are discussed. Empirical studies are carried out to examine the performance of the proposed estimators and consequently the suitable recommendations are made.
    Źródło:
    Statistics in Transition new series; 2013, 14, 1; 57-74
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimation of P(X ≤ Y ) for discrete distributions with non-identical support
    Autorzy:
    Mouli Choudhury, Mriganka
    Bhattacharya, Rahul
    Maiti, Sudhansu S.
    Powiązania:
    https://bibliotekanauki.pl/articles/2107147.pdf
    Data publikacji:
    2022-09-14
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    stress-strength model
    uniformly minimum variance unbiased
    maximum likelihood
    Opis:
    The Uniformly Minimum Variance Unbiased (UMVU) and the Maximum Likelihood (ML) estimations of R = P(X ≤ Y ) and the associated variance are considered for independent discrete random variables X and Y. Assuming a discrete uniform distribution for X and the distribution of Y as a member of the discrete one parameter exponential family of distributions, theoretical expressions of such quantities are derived. Similar expressions are obtained when X and Y interchange their roles and both variables are from the discrete uniform distribution. A simulation study is carried out to compare the estimators numerically. A real application based on demand-supply system data is provided.
    Źródło:
    Statistics in Transition new series; 2022, 23, 3; 43-64
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the improvement of paired ranked set sampling to estimate population mean
    Autorzy:
    Rehman, Syed Abdul
    Shabbir, Javid
    Powiązania:
    https://bibliotekanauki.pl/articles/1827556.pdf
    Data publikacji:
    2021-09-06
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    order statistics
    ranked set sampling
    relative efficiency
    unbiased estimator
    imperfect ranking
    Opis:
    In ecological and environmental sampling the quantification of units is either difficult or overly demanding in terms of the time, money, workload, it requires. For this reason efficient and cost-effective sampling methods need to be devised for data collecting. The most commonly used method for this purpose is the Ranked Set Sampling (RSS). In this paper, a sampling scheme called Improved Paired Ranked Set Sampling (IPRSS) is proposed to estimate the population mean. The performance of the proposed IPRSS is evaluated under perfect and imperfect rankings. A simulation study based on selected hypothetical distributions and a real-life data set showed that IPRSS is more precise than RSS, Paired RSS (PRSS) or Extreme RSS (ERSS).
    Źródło:
    Statistics in Transition new series; 2021, 22, 3; 193-205
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An improved ridge type estimator for logistic regression
    Autorzy:
    Varathan, Nagarajah
    Powiązania:
    https://bibliotekanauki.pl/articles/2108296.pdf
    Data publikacji:
    2022-09-14
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Logistic Regression
    Multicollinearity
    ridge estimator
    Modified almost unbiased ridge logistic estimator
    Mean square error
    Opis:
    In this paper, an improved ridge type estimator is introduced to overcome the effect of multicollinearity in logistic regression. The proposed estimator is called a modified almost unbiased ridge logistic estimator. It is obtained by combining the ridge estimator and the almost unbiased ridge estimator. In order to asses the superiority of the proposed estimator over the existing estimators, theoretical comparisons based on the mean square error and the scalar mean square error criterion are presented. A Monte Carlo simulation study is carried out to compare the performance of the proposed estimator with the existing ones. Finally, a real data example is provided to support the findings.
    Źródło:
    Statistics in Transition new series; 2022, 23, 3; 113-126
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Small Area Estimation of Income Under Spatial SAR Model
    Autorzy:
    Kubacki, Jan
    Jędrzejczak, Alina
    Powiązania:
    https://bibliotekanauki.pl/articles/465667.pdf
    Data publikacji:
    2016
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    small area estimation (SAE)
    SAR model
    hierarchical Bayes estimation
    spatial empirical best linear unbiased predictor
    Opis:
    The paper presents the method of hierarchical Bayes (HB) estimation under small area models with spatially correlated random effects and a spatial structure implied by the Simultaneous Autoregressive (SAR) process. The idea was to improve the spatial EBLUP by incorporating the HB approach into the estimation algorithm. The computation procedure applied in the paper uses the concept of sampling from a posterior distribution under generalized linear mixed models implemented in WinBUGS software and adapts the idea of parameter estimation for small areas by means of the HB method in the case of known model hyperparameters. The illustration of the approach mentioned above was based on a real-world example concerning household income data. The precision of the direct estimators was determined using own three-stage procedure which employs Balanced Repeated Replication, bootstrap and Generalized Variance Function. Additional simulations were conducted to show the influence of the spatial autoregression coefficient on the estimation error reduction. The computations performed by ‘sae’ package for R project and a special procedure for WinBUGS reveal that the method provides reliable estimates of small area means. For high spatial correlation between domains, noticeable MSE reduction was observed, which seems more evident for HB-SAR method as compared with the traditional spatial EBLUP. In our opinion, the Gibbs sampler, revealing the simultaneous nature of processes, especially for random effects, can be a good starting point for the simulations based on stochastic SAR processes.
    Źródło:
    Statistics in Transition new series; 2016, 17, 3; 365-390
    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:
    Estimation of the density and cumulative distribution functions of the exponentiated Burr XII distribution
    Autorzy:
    Hassan, Amal S.
    Assar, Salwa M.
    Ali, Kareem A.
    Nagy, Heba F.
    Powiązania:
    https://bibliotekanauki.pl/articles/1917020.pdf
    Data publikacji:
    2021-12-08
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    exponentiated Burr Type XII model
    least squares estimator
    maximum likelihood estimator
    uniform minimum variance unbiased estimator
    weighted least squares estimator
    Opis:
    The exponentiated Burr Type XII (EBXII) distribution has wide applications in reliability and economic studies. In this article, the estimation of the probability density function and the cumulative distribution function of EBXII distribution is considered. We examine the maximum likelihood estimator, the uniformly minimum variance unbiased estimator, the least squares estimator, the weighted least squares estimator, the maximum product spacing estimator, the Cramér–von-Mises estimator, and the Anderson–Darling estimator. We derive analytical forms for the bias and mean square error. A simulation study is performed to investigate the consistency of the suggested methods of estimation. Data relating to the wind speed and service times of aircraft windshields are used with the studied methods. The simulation studies and real data applications have revealed that the maximum likelihood estimator performs more efficiently than its remaining counterparts.
    Źródło:
    Statistics in Transition new series; 2021, 22, 4; 171-189
    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 1-8 z 8

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