Temat: Mean square error (MSE) - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Some linear regression type ratio exponential estimators for estimating the population mean based on quartile deviation and deciles
Autorzy:: Prasad, Shakti
Powiązania:: https://bibliotekanauki.pl/articles/1059039.pdf
Data publikacji:: 2020-12-04
Wydawca:: Główny Urząd Statystyczny
Tematy:: Bias
Mean square error (MSE)
Auxiliary variable
Relative Efficiency (%)
Opis:: This paper deals some linear regression type ratio exponential estimators for estimating the population mean using the known values of quartile deviation and deciles of an auxiliary variable in survey sampling. The expressions of the bias and the mean square error of the suggested estimators have been derived. It was compared with the usual mean, usual ratio (Cochran (1977)), Kadilar and Cingi (2004, 2006) and Subzar et al. (2017) estimators. After comparison, the condition which makes the suggested estimators more efficient than others is found. To verify the theoretical results, numerical results are performed on two natural population data sets.
Źródło:: Statistics in Transition new series; 2020, 21, 5; 85-98
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

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

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