Temat: simple random sampling

Skocz do pozycji: 1.

Tytuł:: A new ratio estimator: an alternative to regression estimator in survey sampling using auxiliary information
Autorzy:: Subzar, Mir
Maqbool, S.
Raja, T. A.
Sharma, Prayas
Tematy:: simple random sampling; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/1186907.pdf Link otwiera się w nowym oknie
Opis:: The most dominant problem in the survey sampling is to obtain the better ratio estimators for the estimation of population mean or population variance. Estimation theory is enhanced by using the auxiliary information in order to improve on designs, precision and efficiency of estimators. A modified class of ratio estimator is suggested in this paper to estimate the population mean. Expressions for the bias and the mean square error of the proposed estimators are obtained. Both analytical and numerical comparison has shown the suggested estimator to be more efficient than some existing ones. The bias of the suggested estimator is also found to be negligible for the population under consideration, indicating that the estimator is as good the regression estimator and better than the other estimators under consideration.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Estimation of Finite Population Mean Using Deciles of an Auxiliary Variable
Autorzy:: Subramani, J.
Kumarapandiyan, G.
Tematy:: mean squared error
natural populations
simple random sampling; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/466087.pdf Link otwiera się w nowym oknie
Opis:: The present paper deals with a class of modified ratio estimators for estimation of population mean of the study variable when the population deciles of the auxiliary variable are known. The biases and the mean squared errors of the proposed estimators are derived and compared with that of existing modified ratio estimators for certain known populations. Further, we have also derived the conditions for which the proposed estimators perform better than the existing modified ratio estimators. From the numerical study it is also observed that the proposed modified ratio estimators perform better than the existing modified ratio estimators.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Estimating population coefficient of variation using a single auxiliary variable in simple random sampling
Autorzy:: Singh, Rajesh
Mishra, Madhulika
Tematy:: coefficient of variation
simple random sampling
auxiliary variable
mean square error; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/1186918.pdf Link otwiera się w nowym oknie
Opis:: This paper proposes an improved estimation method for the population coefficient of variation, which uses information on a single auxiliary variable. The authors derived the expressions for the mean squared error of the proposed estimators up to the first order of approximation. It was demonstrated that the estimators proposed by the authors are more efficient than the existing ones. The results of the study were validated by both empirical and simulation studies.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Some classes of modified ratio type estimators in sample surveys
Autorzy:: Swain, A. K. P. C.
Das, Manjula
Tematy:: ratio type estimator
simple random sampling
bias
mean square error
efficiency; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/466061.pdf Link otwiera się w nowym oknie
Opis:: In this paper some classes of modified ratio type estimators with additive and multiplicative adjustments made to the simple mean per unit estimator and classical ratio estimator are suggested to obtain more efficient ratio type estimators compared to the classical one. Their biases and mean square errors are obtained and compared with first order approximations.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Improved Estimators for Simple Random Sampling and Stratified Random Sampling under Second Order of Approximation
Autorzy:: Sharma, Prayas
Tematy:: simple random sampling
stratified random sampling population mean
study variable
exponential ratio type estimators
bias and MSE; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/465938.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

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.
Tematy:: ratio type estimators regression-cum-ratio type estimators simple random sampling
auxiliary variables
bias
efficiency; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/465714.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: A Class of Product-Type Exponential Estimators of the Population Mean in Simple Random Sampling Scheme
Autorzy:: Onyeka, A. C.
Tematy:: ratio-type and product-type exponential estimators
auxiliary character
simple random sampling
mean square error; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/465727.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Optimal allocation for equal probability two-stage design
Autorzy:: Molefe, Wilford
Tematy:: sample designs
optimal allocation
composite estimation
mean squared error
two-stage sampling
simple random sampling without replacement; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/2156993.pdf Link otwiera się w nowym oknie
Opis:: This paper develops optimal designs when it is not feasible for every cluster to be represented in a sample as in stratified design, by assuming equal probability two-stage sampling where clusters are small areas. The paper develops allocation methods for two-stage sample surveys where small-area estimates are a priority. We seek efficient allocations where the aim is to minimize the linear combination of the mean squared errors of composite small area estimators and of an estimator of the overall mean. We suggest some alternative allocations with a view to minimizing the same objective. Several alternatives, including the area-only stratified design, are found to perform nearly as well as the optimal allocation but with better practical properties. Designs are evaluated numerically using Switzerland canton data as well as Botswana administrative districts data.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Improved Estimators of Coefficient of Variation in a Finite Population
Autorzy:: Archana, V.
Aruna Rao, K.
Tematy:: Model based comparison
Coefficient of Variation
Simple Random Sampling Regression estimator
Mean Square Error
Confidence interval; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/465691.pdf Link otwiera się w nowym oknie
Opis:: Coefficient of Variation (C.V) is a unitless measure of dispersion. Hence it is widely used in many scientific and social investigations. Although a lot of work has been done concerning C.V in the infinite population models, it has been neglected in the finite populations. Many areas of applications of C.V involves the finite populations like the use in official statistics and economic surveys of the World Bank. This has motivated us to propose six new estimators of the population C.V. In finite population studies regression estimators are widely used and the idea is exploited to propose the new estimators. Three of the proposed estimators are the regression estimators of the C.V for the study variable while the other three estimators makes use of the regression estimators of population mean and variance to estimate the ratio , the population C.V for the study variable. The bias and mean square error (MSE) of these estimators were derived for the simple random sampling design. The performance of these estimators is compared using two real life data sets. The simulation is carried out to compare the estimators in terms of coverage probability and the length of the confidence interval. The small sample comparison indicates that two of the proposed estimators perform better than the sample C.V. The regression estimator using the information on the Population C.V of the auxiliary variable emerges as the best estimator.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: A minimum variance unbiased estimator of finite population variance using auxiliary information
Autorzy:: Panigrahi, Archana
Dash, Priyaranjan
Mishra, Gopabandhu
Tematy:: simple random sampling without replacement (SRSWOR)
unbiased estimator
auxiliary variable
population variance
efficiency; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/63513734.pdf Link otwiera się w nowym oknie
Opis:: A class of estimators of finite population variance (S_y^2) using auxiliary information has been proposed under simple random sampling without replacement (SRSWOR) scheme. An attempt has been made to derive the minimum variance unbiased estimator of finite population variance from the proposed class of unbiased estimators. The efficiency of the class of estimators under optimality is compared with the usual unbiased estimator (t_{V0}=s_y^2), ratio type estimator (t_{VR}), product type estimator{\ (t}_{VP}), regression type estimator {(t}_{Vlr}), exponential ratio type estimator{\ (t}_{VER}), exponential product type estimator {\ (t}_{VEP}), and ratio-in-regression estimator (t_s), both theoretically and empirically under general conditions and under bivariate normality. The proposed class of estimator performs better than these estimators under certain realistic conditions. The proposed class of estimators is generalized for the case of multi-auxiliary variables.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 11.

Tytuł:: On Efficient Difference Type Estimators
Autorzy:: Swain, A. K. P. C.
Tematy:: Difference type
Ratio type and Regression type estimators
Efficiencies of estimators
Auxiliary information
Simple random sampling without replacement; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/465693.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 12.

Tytuł:: On Conditional Simple Random Sample
Autorzy:: Wywiał, Janusz L.
Tematy:: simple random sample
conditional sampling design
sampling scheme
inclusion probabilities
auxiliary variable
order statistics; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/465622.pdf Link otwiera się w nowym oknie
Opis:: Estimation of the population average in a finite and fixed population on the basis of the conditional simple random sampling design dependent on order statistics of the auxiliary variable is studied. The sampling scheme implementing the sampling design is proposed. The inclusion probabilities are derived. The well known Horvitz-Thompson statistic under the conditional simple random sampling designs is considered as the estimator of population mean. Moreover, it was shown that the Horvitz-Thompson estimator under some particular cases of the conditional simple random sampling design is more accurate than the ordinary mean from the simple random sample.
Dostawca treści:: Biblioteka Nauki

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