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    Wyświetlanie 1-2 z 2
    Tytuł:
    Two-stage cluster sampling with unequal probability sampling in the first stage and ranked set sampling in the second stage
    Autorzy:
    Ugwu, Michael C.
    Madukaife, Mbanefo S.
    Powiązania:
    https://bibliotekanauki.pl/articles/2108165.pdf
    Data publikacji:
    2022-09-14
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    cluster sampling
    population mean estimator
    probability proportional to size sampling
    ranked set sampling
    relative efficiency
    Opis:
    In this research work we introduce a new sampling design, namely a two-stage cluster sampling, where probability proportional to size with replacement is used in the first stage unit and ranked set sampling in the second in order to address the issue of marked variability in the sizes of population units concerned with first stage sampling. We obtained an unbiased estimator of the population mean and total, as well as the variance of the mean estimator. We calculated the relative efficiency of the new sampling design to the two-stage cluster sampling with simple random sampling in the first stage and ranked set sampling in the second stage. The results demonstrated that the new sampling design is more efficient than the competing design when a significant variation is observed in the first stage units.
    Źródło:
    Statistics in Transition new series; 2022, 23, 3; 199-214
    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 1-2 z 2

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