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Tytuł:
Efficient estimation of population mean in the presence of non-response and measurement error
Autorzy:
Tiwari, Kuldeep Kumar
Sharma, Vishwantra
Powiązania:
https://bibliotekanauki.pl/articles/18105157.pdf
Data publikacji:
2023-06-13
Wydawca:
Główny Urząd Statystyczny
Tematy:
non-response
measurement error
mean squared error
efficiency
mean estimation
Opis:
In real-world surveys, non-response and measurement errors are common, therefore studying them together seems rational. Some population mean estimators are modified and studied in the presence of non-response and measurement errors. Bias and mean squared error expressions are derived under different cases. For all estimators, a theoretical comparison is made with the sample mean per unit estimator. The Monte-Carlo simulation is used to present a detailed picture of all estimators' performance.
Źródło:
Statistics in Transition new series; 2023, 24, 3; 95-116
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Noise and bias - some controversies raised by the book 'Noise: A Flaw in Human Judgment', written by Daniel Kahneman, Olivier Sibony, Cass R. Sunstein
Autorzy:
Szreder, Mirosław
Powiązania:
https://bibliotekanauki.pl/articles/2082251.pdf
Data publikacji:
2022-06-30
Wydawca:
Główny Urząd Statystyczny
Tematy:
noise
bias
mean squared error
statistical inference
Opis:
The paper reviews and discusses the statistical aspects of the phenomenon called 'noise' which Daniel Kahneman, the Nobel Prize winning psychologist, and his colleagues present in their new book entitled 'Noise: A Flaw in Human Judgment'. Noise is understood by the authors as an unexpected and undesirable variation present in people's judgments. The variability of judgments influences decisions which are made on the basis of those judgments and, consequently, may have a negative impact on the operations of various institutions. This is the main concern presented and analyzed in this book. The objective of this paper is to look at the relationship between bias and noise - the two major components of the mean squared error (MSE) - from a different perspective which is absent in the book. Although the author agrees that each of the two components contributes equally to MSE, he claims that in some circumstances a reduction of noise can make accurate inference not less, but more difficult. It is justified that the actual impact of noise cannot be accurately determined without considering both bias and noise simultaneously.
Źródło:
Przegląd Statystyczny; 2022, 69, 1; 39-49
0033-2372
Pojawia się w:
Przegląd Statystyczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Class of Estimators of Finite Population Mean Using Incomplete Multi-Auxiliary Information
Autorzy:
Srivastava, Meenakshi
Garg, Neha
Powiązania:
https://bibliotekanauki.pl/articles/466065.pdf
Data publikacji:
2013
Wydawca:
Główny Urząd Statystyczny
Tematy:
bias
mean square error
multi-auxiliary information
Opis:
In this paper, a class of estimators is considered for estimating the mean of the finite population utilizing available incomplete multi-auxiliary information. Some special cases of this class of estimators are considered. The approximate expressions for bias and mean square error of the suggested estimators have also been derived and theoretical results are numerically supported.
Źródło:
Statistics in Transition new series; 2013, 14, 2; 201-216
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some efficient classes of estimators using auxiliary attribute
Autorzy:
Bhushan, Shashi
Kumar, Anoop
Powiązania:
https://bibliotekanauki.pl/articles/15017632.pdf
Data publikacji:
2023-03-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
Bias
Mean square error
Efficiency
Auxiliary attribute
Opis:
This paper considers some efficient classes of estimators for the estimation of population mean using known population proportion. The usual mean estimator, classical ratio, and regression estimators suggested by Naik and Gupta (1996) and Abd-Elfattah et al. (2010) estimators are identified as the members of the suggested class of estimators. The expressions of bias and mean square errors are derived up to first-order approximation. The proposed estimators were put to test against various other competing estimators till date. It has been found both theoretically and empirically that the suggested classes of estimators dominate the existing estimators.
Źródło:
Statistics in Transition new series; 2023, 24, 2; 141-157
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Błędy nielosowe i ich znaczenie w testowaniu hipotez
Non-random errors and their importance in testing of hypotheses
Autorzy:
Szreder, Mirosław
Powiązania:
https://bibliotekanauki.pl/articles/971504.pdf
Data publikacji:
2021-03-31
Wydawca:
Główny Urząd Statystyczny
Tematy:
testowanie hipotez statystycznych
błąd losowania
błąd losowy
błędy nielosowe
testing of hypotheses
sampling error
random error
non-random errors
Opis:
We współczesnych badaniach reprezentacyjnych coraz częściej dają o sobie znać błędy o charakterze nielosowym, w tym w szczególności wynikające z braków odpowiedzi lub źle wykonanych pomiarów (niedokładnej obserwacji statystycznej). Do tej pory rzadko dyskutowano o skutkach tego typu błędów w procedurze weryfikacji hipotez statystycznych. Uwaga badaczy skupiała się niemal wyłącznie na błędzie losowania (błędzie losowym). Błąd ten maleje wraz ze wzrostem liczebności próby. To sprawia, że badacze, nierzadko mający do dyspozycji bardzo duże liczebnie próby, tracą z pola widzenia konsekwencje nie tylko błędu losowego, lecz także błędów nielosowych. Celem artykułu jest wskazanie na znaczenie błędów nielosowych w podejmowaniu decyzji opartych na wykorzystaniu klasycznej procedury weryfikacji hipotez. Szczególną uwagę poświęcono sytuacjom, w których badacz dysponuje dużą liczebnie próbą. W pracy uzasadniono twierdzenie, że w dużych próbach testy statystyczne stają się bardziej wrażliwe na oddziaływanie błędów nielosowych. Błędy systematyczne, będące szczególnym przypadkiem błędów nielosowych, zwiększają prawdopodobieństwo błędnej decyzji o odrzuceniu prawdziwej hipotezy wraz ze wzrostem liczebności próby. Wzbogacenie weryfikacji hipotez o analizę opartą na estymacji przedziałowej może wspomóc badacza w poprawnym wnioskowaniu.
Increasing numbers of non-random errors are observed in contemporary sample surveying – in particular, those resulting from no response or faulty measutrements (imprecise statistical observation). Until recently, the consequences of these kinds of errors have not been widely discussed in the context of the testing of hypoteses. Researchers focused almost entirely on sampling errors (random errors), whose magnitude decreases as the size of the random sample grows. In consequence, researchers who often use samples of very large sizes tend to overlook the influence random and non-random errors have on the results of their study. The aim of this paper is to present how non-random errors can affect the decision-making process based on the classical hypothesis testing procedure. Particular attention is devoted to cases in which researchers manage samples of large sizes. The study proved the thesis that samples of large sizes cause statistical tests to be more sensitive to non-random errors. Systematic errors, as a special case of non-random errors, increase the probability of making the wrong decision to reject a true hypothesis as the sample size grows. Supplementing the testing of hypotheses with the analysis of confidence intervals may in this context provide substantive support for the researcher in drawing accurate inferences.
Źródło:
Wiadomości Statystyczne. The Polish Statistician; 2021, 66, 3; 7-21
0043-518X
Pojawia się w:
Wiadomości Statystyczne. The Polish Statistician
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimation of Finite Population Mean Using Deciles of an Auxiliary Variable
Autorzy:
Subramani, J.
Kumarapandiyan, G.
Powiązania:
https://bibliotekanauki.pl/articles/466087.pdf
Data publikacji:
2013
Wydawca:
Główny Urząd Statystyczny
Tematy:
mean squared error
natural populations
simple random sampling
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.
Źródło:
Statistics in Transition new series; 2013, 14, 1; 75-88
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cumulative Sum Control Charts for Truncated Normal Distribution under Measurement Error
Autorzy:
Sankle, R.
Singh, J. R.
Mangal, I. K.
Powiązania:
https://bibliotekanauki.pl/articles/465820.pdf
Data publikacji:
2012
Wydawca:
Główny Urząd Statystyczny
Tematy:
Truncated Normal Distribution Measurement Error
ARL and CSCC
Opis:
In the present paper Cumulative Sum Control Chart (CSCC) for the truncated normal distribution under measurement error (r) is discussed. The sensitivity of the parameters of the V-Mask and the Average Run Length (ARL) is studied through numerical evaluation for different values of r.
Źródło:
Statistics in Transition new series; 2012, 13, 1; 95-106
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
To Misreport or not to report? The Case of the Italian Survey on Household Income and Wealth
Autorzy:
Neri, Andrea
Rannalli, M. Giovanna
Powiązania:
https://bibliotekanauki.pl/articles/466032.pdf
Data publikacji:
2011
Wydawca:
Główny Urząd Statystyczny
Tematy:
Unit Nonresponse
Measurement Error
Auxiliary Information
Subsampling
Imputation
Opis:
The objective of the paper is to adjust for the bias due to unit nonresponse and measurement error in survey estimates of total household financial wealth. Sample surveys are a useful source of information on household wealth. Yet, survey estimates are affected by nonsampling errors. In particular, when it comes to household wealth, unit nonresponse and measurement error can severely bias the estimates. Using the Italian Survey on Household Income and Wealth, we exploit the available auxiliary information in order to assess the magnitude of such a bias. We find evidence that for this kind of surveys, nonsampling errors are a major issue to deal with, possibly more serious than sampling errors. Moreover, in the case of SHIW the potential bias due to measurement error seems to outweigh by far that induced by nonresponse.
Źródło:
Statistics in Transition new series; 2011, 12, 2; 281-300
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Artykuł
Tytuł:
Estimation of product of two population means by multiauxiliary characters under double sampling the non-respondents
Autorzy:
Khare, B. B.
Sinha, R. R.
Powiązania:
https://bibliotekanauki.pl/articles/1193073.pdf
Data publikacji:
2019-08-30
Wydawca:
Główny Urząd Statystyczny
Tematy:
product
bias
mean square error
auxiliary characters
non-response
Opis:
This paper considers the problem of estimating the product of two population means using the information on multi-auxiliary characters with double sampling the non-respondents. Classes of estimators are proposed for estimating P under two different situations [discussed by Rao (1986, 90)] using known population mean of multi-auxiliary characters. Further, this problem has been extended to the case when population means of the auxiliary characters are unknown and they are estimated on the basis of a larger first phase sample. In this situation, a class of two phase sampling estimators for estimating P is suggested using multi-auxiliary characters with unknown population means in the presence of non-response. The expressions of bias and mean square error of all the proposed estimators are derived and their properties are studied. An empirical study using real data sets is given to justify the theoretical considerations.
Źródło:
Statistics in Transition new series; 2019, 20, 3; 81-95
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Efficient two-parameter estimator in linear regression model
Autorzy:
Dorugade, Ashok V.
Powiązania:
https://bibliotekanauki.pl/articles/1194454.pdf
Data publikacji:
2019-07-02
Wydawca:
Główny Urząd Statystyczny
Tematy:
multicollinearity
ridge regression
two-parameter estimator
mean squared error
Opis:
In this article, two-parameter estimators in linear model with multicollinearity are considered. An alternative efficient two-parameter estimator is proposed and its properties are examined. Furthermore, this was compared with the ordinary least squares (OLS) estimator and ordinary ridge regression (ORR) estimators. Also, using the mean squares error criterion the proposed estimator performs more efficiently than OLS estimator, ORR estimator and other reviewed two-parameter estimators. A numerical example and simulation study are finally conducted to illustrate the superiority of the proposed estimator.
Źródło:
Statistics in Transition new series; 2019, 20, 2; 173-185
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:
Improved separate ratio and product exponential type estimators in the case of post-stratification
Autorzy:
Lone, Hilal A.
Tailor, Rajesh
Powiązania:
https://bibliotekanauki.pl/articles/465656.pdf
Data publikacji:
2015
Wydawca:
Główny Urząd Statystyczny
Tematy:
finite population mean
post-stratification
bias
mean squared error
Opis:
This paper addressed the problem of estimation of finite population mean in the case of post-stratification. Improved separate ratio and product exponential type estimators in the case of post-stratification are suggested. The biases and mean squared errors of the suggested estimators are obtained up to the first degree of approximation. Theoretical and empirical studies have been done to demonstrate better efficiencies of the suggested estimators than other considered estimators.
Źródło:
Statistics in Transition new series; 2015, 16, 1; 53-64
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

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