Temat: mean squared error - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

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Skocz do pozycji: 2.

Tytuł:: Estimation of finite population mean using two auxiliary variables under stratified random sampling
Autorzy:: Yadav, Rohini
Tailor, Rajesh
Powiązania:: https://bibliotekanauki.pl/articles/1358426.pdf
Data publikacji:: 2020-03-23
Wydawca:: Główny Urząd Statystyczny
Tematy:: Study variable
auxiliary variable
stratified random sampling
dual to ratio estimator
bias and mean squared error
Opis:: This paper addresses the problem of an alternative approach to estimating the population mean of the study variable with the help of the auxiliary variable under stratified random sampling. The properties of the suggested estimator have been studied under large sample approximation. It has been demonstrated that the suggested estimator is more efficient than other considered estimators. To judge the merits of the proposed estimator, an empirical study has been carried out to support the present study.
Źródło:: Statistics in Transition new series; 2020, 21, 1; 1-12
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Improved Separate Ratio Exponential Estimator for Population Mean Using Auxiliary Information
Autorzy:: Yadav, Rochini
Upadhyaya, Lakshmi N.
Singh, Housila P.
Chatterjee, S.
Powiązania:: https://bibliotekanauki.pl/articles/465985.pdf
Data publikacji:: 2011
Wydawca:: Główny Urząd Statystyczny
Tematy:: Study variable
auxiliary variable
stratified random sampling
separate ratio estimator
separate product estimator
bias and mean squared error
Opis:: This paper advocates the improved separate ratio exponential estimator for population mean of the study variable y using the information based on auxiliary variable x in stratified random sampling. The bias and mean squared error (MSE) of the suggested estimator have been obtained upto the first degree of approximation. The theoretical and numerical comparisons are carried out to show the efficiency of the suggested estimator over sample mean estimator, usual separate ratio and separate product estimator.
Źródło:: Statistics in Transition new series; 2011, 12, 2; 401-412
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

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

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Skocz do pozycji: 5.

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

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Skocz do pozycji: 6.

Tytuł:: Modified Estimators of Population Variance in Presence of Auxiliary Information
Autorzy:: Tailor, Rajesh
Sharma, Balkishan
Powiązania:: https://bibliotekanauki.pl/articles/465891.pdf
Data publikacji:: 2012
Wydawca:: Główny Urząd Statystyczny
Tematy:: Finite population variance
Bias
Mean squared error Auxiliary information and Efficiency
Opis:: This paper proposes estimator of population variance using information on known parameters of auxiliary variable. The variances of the proposed estimators are obtained. It has been shown that using modified sampling fraction the proposed estimators are more efficient than the usual unbiased estimator of population variance and usual ratio estimator for population variance under certain given conditions. Empirical study is also carried out to demonstrate the merits of the proposed estimators of population variance over other estimators considered in this paper.
Źródło:: Statistics in Transition new series; 2012, 13, 1; 37-46
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

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

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Skocz do pozycji: 8.

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

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Skocz do pozycji: 9.

Tytuł:: Missing data estimation based on the chaining technique in survey sampling
Autorzy:: Singh Thakur, Narendra
Shukla, Diwakar
Powiązania:: https://bibliotekanauki.pl/articles/2156986.pdf
Data publikacji:: 2022-12-15
Wydawca:: Główny Urząd Statystyczny
Tematy:: estimation
missing data
chaining
imputation
bias
mean squared error (MSE)
factor type (F-T)
chain type estimator
double sampling
Opis:: Sample surveys are often affected by missing observations and non-response caused by the respondents' refusal or unwillingness to provide the requested information or due to their memory failure. In order to substitute the missing data, a procedure called imputation is applied, which uses the available data as a tool for the replacement of the missing values. Two auxiliary variables create a chain which is used to substitute the missing part of the sample. The aim of the paper is to present the application of the Chain-type factor estimator as a means of source imputation for the non-response units in an incomplete sample. The proposed strategies were found to be more efficient and bias-controllable than similar estimation procedures described in the relevant literature. These techniques could also be made nearly unbiased in relation to other selected parametric values. The findings are supported by a numerical study involving the use of a dataset, proving that the proposed techniques outperform other similar ones.
Źródło:: Statistics in Transition new series; 2022, 23, 4; 91-111
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

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

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Skocz do pozycji: 11.

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

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Skocz do pozycji: 12.

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

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Skocz do pozycji: 13.

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

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Skocz do pozycji: 14.

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