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Wyświetlanie 1-15 z 21
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:
Analiza możliwości zastosowania hierarchicznych estymatorów wiarygodności wyższego rzędu w ubezpieczeniach komunikacyjnych
Analysis of Possibility of Application of Higher-Order Hierarchical Credibility Estimators in Automobile Insurance
Autorzy:
Topolewski, Marcin
Powiązania:
https://bibliotekanauki.pl/articles/1365411.pdf
Data publikacji:
2015-06-30
Wydawca:
Główny Urząd Statystyczny
Tematy:
ubezpieczenia komunikacyjne
metoda wiarygodności
estymatory hierarchiczne
automobile insurance
credibility
hierarchical estimators
Opis:
Praca dotyczy możliwości zastosowania estymatorów wiarygodności rzędu wyższego niż jeden, zwanych estymatorami hierarchicznymi, do oszacowania szkodowości a’posteriori w systemach ubezpieczeń komunikacyjnych uwzględniających historię szkodowości ubezpieczonego. W części pierwszej przedstawiona jest idea metody wiarygodności, a w części drugiej omówiony liniowy estymator wiarygodności. Część trzecia wprowadza odpowiednie dla badanego problemu modele ryzyka w postaci rozkładów liczby szkód, które zostają wykorzystane do wyprowadzenia odpowiednich estymatorów pierwszego rzędu. Część czwarta rozszerza rozważania z części trzeciej o estymatory hierarchiczne drugiego rzędu. W empirycznej części piątej zastosowano wcześniej przedstawione rozwiązania do oszacowania szkodowości dla przykładowego portfela ubezpieczeń, porównano uzyskane wyniki i wyciągnięto wnioski dotyczące możliwości zastosowana hierarchicznych estymatorów drugiego rzędu w ubezpieczeniach komunikacyjnych.
The work concerns the applicability of credibility estimators of order higher than one, called hierarchical estimators, to posterior estimates of claim ratio in motor insurance systems based on the history of the insured. The first part presents the idea of the credibility estimation method. In the second part the linear credibility estimator is discussed. The third part introduces appropriate for risk models in the form of claims distributions, which are used to derive the corresponding hierarchical estimates of the first order. The fourth section expands the discussion of the hierarchical estimators of the order two. In the empirical fifth part previously presented solutions are used to estimate the loss ratio for the sample insurance portfolio, results are discussed and conclusions concerning the possibility of application of second order hierarchical estimators into motor insurance are formulated.
Źródło:
Przegląd Statystyczny; 2015, 62, 2; 199-217
0033-2372
Pojawia się w:
Przegląd Statystyczny
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
Wyświetlanie 1-15 z 21

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