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Wyświetlanie 1-14 z 14
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:
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:
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 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:
Single-tone frequency estimation based on reformed covariance for half-length autocorrelation
Autorzy:
Sienkowski, Sergiusz
Krajewski, Mariusz
Powiązania:
https://bibliotekanauki.pl/articles/220848.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
frequency estimator
sinusoidal signal
autocorrelation function
mean squared error
Opis:
This paper presents a new simple and accurate frequency estimator of a sinusoidal signal based on the signal autocorrelation function (ACF). Such an estimator was termed as the reformed covariance for half-length autocorrelation (RC-HLA). The designed estimator was compared with frequency estimators well-known from the literature, such as the modified covariance for half-length autocorrelation (MC-HLA), reformed Pisarenko harmonic decomposition for half-length autocorrelation (RPHD-HLA), modified Pisarenko harmonic decomposition for half-length autocorrelation (MPHD-HLA), zero-crossing (ZC), and iterative interpolated DFT (IpDFT-IR) estimators. We determined the samples of the ACF of a sinusoidal signal disturbed by Gaussian noise (simulations studies) and the samples of the ACF of a sinusoidal voltage (experimental studies), calculated estimators based on the obtained samples, and computed the mean squared error (MSE) to compare the estimators. The errors were juxtaposed with the Cramér-Rao lower bound (CRLB). The research results have shown that the proposed estimator is one of the most accurate, especially for SNR>25dB. Then the RC-HLA estimator errors are comparable to the MPHD-HLA estimator errors. However, the biggest advantage of the developed estimator is the ability to quickly and accurately determine the frequency based on samples collected from no more than five signal periods. In this case, the RC-HLA estimator is the most accurate of the estimators tested.
Źródło:
Metrology and Measurement Systems; 2020, 27, 3; 473-493
0860-8229
Pojawia się w:
Metrology and Measurement Systems
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:
A Ratio-Cum-Product Estimator of Finite Population Mean in Systematic Sampling
Autorzy:
Tailor, Rajesh
Jatwa, Narendra K.
Singh, Housila P.
Powiązania:
https://bibliotekanauki.pl/articles/465754.pdf
Data publikacji:
2014
Wydawca:
Główny Urząd Statystyczny
Tematy:
systematic sampling ratio-cum-product estimator
bias
mean squared error
Opis:
In this paper we consider the problem of estimation of population mean using information on two auxiliary variables in systematic sampling. We have extended Singh (1967) estimator for estimation of population mean in systematic sampling. We have derived the expressions for the bias and mean squared error of the suggested estimator up to the first degree of approximation. We have compared the suggested estimator with existing estimators and obtained the conditions under which the suggested estimator is more efficient. An empirical study has been carried out to demonstrate the performance of the suggested estimator.
Źródło:
Statistics in Transition new series; 2014, 15, 3; 391-398
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
Tytuł:
Nonlinear optical double image encryption using random-optical vortex in fractional Hartley transform domain
Autorzy:
Singh, H.
Powiązania:
https://bibliotekanauki.pl/articles/173502.pdf
Data publikacji:
2017
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
fractional Hartley transform
FrHT
image encryption
mean squared error
noise attacks
entropy
Opis:
This paper proposed an enhanced asymmetric cryptosystem scheme for optical image encryption in the fractional Hartley transform domain. Grayscale and binary images have been encrypted separately using double random phase encoding. Phase masks based on optical vortex and random phase masks have been jointly used in spatial as well as in the Fourier planes. The images to be encrypted are first multiplied by optical vortex and random phase mask and then transformed with direct and inverse fractional Hartley transform for obtaining the encrypted images. The images are recovered from their corresponding encrypted images by using the correct parameters of the fractional Hartley transform and optical vortex, whose digital implementation has been performed using MATLAB 7.6.0 (R2008a). The random phase masks, optical vortex and transform orders associated with the fractional Hartley transform are extra keys that cause difficulty to an unauthorized user. Thus, the proposed asymmetric scheme is more secure as compared to conventional techniques. The efficacy of the proposed asymmetric scheme is verified by computing the mean squared error between recovered and the original images. The sensitivity of the asymmetric scheme is also verified with encryption parameters, noise and occlusion attacks. Numerical simulation results demonstrate the effectiveness and security performance of the proposed system.
Źródło:
Optica Applicata; 2017, 47, 4; 557-578
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the statistical analysis of the harmonic signal autocorrelation function
Autorzy:
Sienkowski, Sergiusz
Krajewski, Mariusz
Powiązania:
https://bibliotekanauki.pl/articles/2055177.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
harmonic signal
autocorrelation function
mean squared error
sygnał harmoniczny
funkcja autokorelacji
błąd średniokwadratowy
Opis:
The article presents new tools for investigating the statistical properties of the harmonic signal autocorrelation function (ACF). These tools enable identification of the ACF estimator errors in measurements in which the triggering of the measurements is non-synchronized. This is important because in many measurement situations the initial phase of the measured signal is random. The developed tools enable testing the ACF estimator of a harmonic signal in the presence of Gaussian noise. These are the formulas on the basis of which the statistical properties of the estimator can be determined, including the bias, the variance and the mean squared error (MSE). For comparison, the article also presents the ACF statistical analysis tools used in the conditions of synchronized measurement triggering, known from the literature. Operation of the new tools is verified by simulation and experimental studies. The conducted research shows that differences between the MSE results obtained with the use of the developed formulas and those attained from simulations and experimental tests are not greater than 1 dB.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 4; 729--744
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Approximation To The Optimal Subsample Allocation For Small Areas
Autorzy:
Molefe, W. B.
Shangodoyin, D. K.
Clark, R. G.
Powiązania:
https://bibliotekanauki.pl/articles/973548.pdf
Data publikacji:
2015
Wydawca:
Główny Urząd Statystyczny
Tematy:
composite estimation
mean squared error
sample design
small area estimation
sample size allocation
Taylor approximation
Opis:
This paper develops allocation methods for stratified sample surveys in which small area estimation is a priority. We assume stratified sampling with small areas as the strata. Similar to Longford (2006), we seek efficient allocation that minimizes a linear combination of the mean squared errors of composite small area estimators and of an estimator of the overall mean. Unlike Longford, we define mean-squared error in a model-assisted framework, allowing a more natural interpretation of results using an intra-class correlation parameter. This allocation has an analytical form for a special case, and has the unappealing property that some strata may be allocated no sample. We derive a Taylor approximation to the stratum sample sizes for small area estimation using composite estimation giving priority to both small area and national estimation.
Źródło:
Statistics in Transition new series; 2015, 16, 2; 163-182
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Badanie zjawiska niepełnosprawności w przekroju powiatów województwa wielkopolskiego z wykorzystaniem metod statystyki małych obszarów
A Study of Disability Across Districts of the Province of Wielkopolska Using Small Area Estimation Methods
Autorzy:
Klimanek, Tomasz
Szymkowiak, Marcin
Józefowski, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/965003.pdf
Data publikacji:
2018
Wydawca:
Główny Urząd Statystyczny
Tematy:
niepełnosprawność
statystyka małych obszarów
EURA-REA
błąd średniokwadratowy
disability
small area estimation
eurarea
mean squared error
Opis:
Głównym źródłem informacji w statystyce publicznej na temat niepełnosprawności są badania reprezentacyjne oraz spisy powszechne realizowane przez Główny Urząd Statystyczny. Ze względu na fakt, że liczebności próby w odpowiednich domenach, w odniesieniu do których wyrażane są potrzeby informacyjne dotyczące zjawiska niepełnosprawności przez różnych odbiorców, są zbyt małe aby skorzystać z klasycznych technik estymacji, wyniki publikowane są zazwyczaj na dość wysokim poziomie agregacji (kraj czy województwo) bądź dla dość ogólnie zdefiniowanych przekrojów. W artykule autorzy wychodząc naprzeciw rosnącym oczekiwaniom na szczegółową informację na temat niepełnosprawności podejmują próbę zastosowania metod jakie oferuje statystyka małych obszarów na potrzeby estymacji odsetka osób niepełnosprawnych biologicznie i prawnie w powiatach województwa wielkopolskiego z uwzględnieniem wykształcenia. Na potrzeby realizacji tak postawionego celu wykorzystano dane z Narodowego Spisu Powszechnego Ludności i Mieszkań z 2011 roku oraz wybrane techniki estymacji pośredniej. Wyniki przeprowadzonych analiz pozwoliły ocenić przestrzenne zróżnicowanie zjawiska niepełnosprawności dla tak zdefiniowanej domeny z większą precyzją. Na uwagę zasługuje fakt, że jest to poziom agregacji, który nie był do tej pory przedmiotem zainteresowania statystyki publicznej ze względu na nieakceptowalne błędy szacunków estymatora bezpośredniego.
Surveys and censuses conducted by the Central Statistical Office in Poland are the main sources of information about disability for official statistics. Because sample sizes for relevant cross-classification domains are too small to employ classical estimation methods, results are usually published at a relatively high level of aggregation (at country or province level) or for very broadly defined domains. To meet the growing demand for detailed information about disability, the authors present an attempt of applying the methodology of small area estimation to estimate the percentage of disabled people, in the legal and biological sense, across districts (NUTS 4/LAU 1 units) of the province of Wielkopolska crossclassified by the level of education. This methodological exercise is based on data from the 2011 census and employs selected techniques of indirect estimation. Estimates obtained in the study provide an indication of the spatial variation of disability in the target domains with greater precision. It is worth noting that this level of aggregation has not been considered for purposes of official statistical outputs because of unacceptably high estimation errors of the direct estimator.
Źródło:
Przegląd Statystyczny; 2018, 65, 4; 449-472
0033-2372
Pojawia się w:
Przegląd Statystyczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Almost Unbiased Ratio and Product Type Exponential Estimators
Autorzy:
Yadav, Rohini
Upadhyaya, Lakshmi N.
Singh, Housila P.
Chatterjee, S.
Powiązania:
https://bibliotekanauki.pl/articles/465956.pdf
Data publikacji:
2012
Wydawca:
Główny Urząd Statystyczny
Tematy:
study variable
auxiliary variable
almost unbiased ratio-type and product-type exponential estimators bias
mean squared error
Opis:
This paper considers the problem of estimating the population mean Y of the study variate y using information on auxiliary variate x. We have suggested a generalized version of Bahl and Tuteja (1991) estimator and its properties are studied. It is found that asymptotic optimum estimator (AOE) in the proposed generalized version of Bahl and Tuteja (1991) estimator is biased. In some applications, biasedness of an estimator is disadvantageous. So applying the procedure of Singh and Singh (1993) we derived an almost unbiased version of AOE. A numerical illustration is given in the support of the present study.
Źródło:
Statistics in Transition new series; 2012, 13, 3; 537-550
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal allocation for equal probability two-stage design
Autorzy:
Molefe, Wilford
Powiązania:
https://bibliotekanauki.pl/articles/2156993.pdf
Data publikacji:
2022-12-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
sample designs
optimal allocation
composite estimation
mean squared error
two-stage sampling
simple random sampling without replacement
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.
Źródło:
Statistics in Transition new series; 2022, 23, 4; 129-148
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-14 z 14

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