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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:
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:
Application of the strategy combining monetary unit sampling and a Horvitz-Thompson estimator of error amount in auditing – results of a simulation study
Autorzy:
Janusz, Bartłomiej
Powiązania:
https://bibliotekanauki.pl/articles/1194460.pdf
Data publikacji:
2019-07-02
Wydawca:
Główny Urząd Statystyczny
Tematy:
audit sampling
Monetary Unit Sampling
Horvitz-Thompson estimator
error distribution
Opis:
Auditors need information on the performance of different statistical methods when applied to audit populations. The aim of the study was to examine the reliability and efficiency of a strategy combining systematic Monetary Unit Sampling and confidence intervals for the total error based on the Horvitz-Thompson estimator with normality assumption. This strategy is a possible alternative for testing audit populations with high error rates. Using real and simulated data sets, for the majority of populations, the interval coverage rate was lower than the assumed confidence level. In most cases confidence intervals were too wide to be of practical use to auditors. Confidence intervals tended to become wider as the observed error rate increased. Tests disclosed the distribution of the HorvitzThompson estimator was not normal. A detailed analysis of the distributions of the error amount in the examined real audit populations is also given.
Źródło:
Statistics in Transition new series; 2019, 20, 2; 85-106
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:
Correction of sample-time error for time-interleaved sampling system using cubic spline interpolation
Autorzy:
Qin, G.
Liu, G.
Gao, M.
Fu, X.
Xu, P.
Powiązania:
https://bibliotekanauki.pl/articles/221115.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
digital correction
sample-time error
time-interleaved sampling system
cubic spline interpolation
Opis:
Sample-time errors can greatly degrade the dynamic range of a time-interleaved sampling system. In this paper, a novel correction technique employing a cubic spline interpolation is proposed for inter-channel sample-time error compensation. The cubic spline interpolation compensation filter is developed in the form of a finite-impulse response (FIR) filter structure. The correction method of the interpolation compensation filter coefficients is deduced. A 4GS/s two-channel, time-interleaved ADC prototype system has been implemented to evaluate the performance of the technique. The experimental results showed that the correction technique is effective to attenuate the spurious spurs and improve the dynamic performance of the system.
Źródło:
Metrology and Measurement Systems; 2014, 21, 3; 485-496
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determination of the limit errors of parameters of periodic signal harmonics caused by the quantization
Autorzy:
Kontorski, K.
Powiązania:
https://bibliotekanauki.pl/articles/114126.pdf
Data publikacji:
2015
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
sampling A/D converter
ADC
periodic signal
quantization error
numerical methods
algorithm
Opis:
A method for determining amplitude and phase errors of signal harmonic components caused by A/D converter quantization is presented. The method is realized by a computer algorithm which uses output probes of the converter as the input data. Performed simulation studies indicate that the method is correct. It is possible to precisely determine the harmonic parameter measurement errors caused by the quantization.
Źródło:
Measurement Automation Monitoring; 2015, 61, 11; 512-515
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Enhancing machining accuracy reliability of multi-axis CNC Indexed by: machine tools using an advanced importance sampling method
Autorzy:
Wang, Zhiming
Yuan, Hao
Powiązania:
https://bibliotekanauki.pl/articles/2038141.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Polskie Naukowo-Techniczne Towarzystwo Eksploatacyjne PAN
Tematy:
precision allocation
comprehensive error
machining accuracy reliability
sensitivity analysis
advanced importance sampling method
Opis:
The purpose of this paper is to propose a general precision allocation method to improve machining performance of CNC machine tools based on certain design requirements. A comprehensive error model of machine tools is established by using the differential motion relation of coordinate frames. Based on the comprehensive error model, a reliability model is established by updating the primary reliability with an advanced importance sampling method, which is used to predict the machining accuracy reliability of machine tools. Besides, to identify and optimize geometric error parameters which have a great influence on machining accuracy reliability of machine tools, the sensitivity analysis of machining accuracy is carried out by improved first-order second-moment method. Taking a large CNC gantry guide rail grinder as an example, the optimization results show that the method is effective and can realize reliability optimization of machining accuracy.
Źródło:
Eksploatacja i Niezawodność; 2021, 23, 3; 559-568
1507-2711
Pojawia się w:
Eksploatacja i Niezawodność
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimating population coefficient of variation using a single auxiliary variable in simple random sampling
Autorzy:
Singh, Rajesh
Mishra, Madhulika
Powiązania:
https://bibliotekanauki.pl/articles/1186918.pdf
Data publikacji:
2019-12-10
Wydawca:
Główny Urząd Statystyczny
Tematy:
coefficient of variation
simple random sampling
auxiliary variable
mean square error
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.
Źródło:
Statistics in Transition new series; 2019, 20, 4; 89-111
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:
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
Artykuł
Tytuł:
Estimation of Measurement Error Using Local Sampling and Joint Nonparametric Linearisation
Estymowanie błędu pomiarowego z zastosowaniem łącznej nieparametrycznej linearyzacji prób lokalnych
Autorzy:
Górkiewicz, Maciej
Powiązania:
https://bibliotekanauki.pl/articles/906540.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
local sampling
linearisation
measurement error
neear neighbours
Opis:
This paper presents how to use the near neighbours technique in aim to transform a given data set (Z, X, YT) of size N into a set of J ~ N local samples (Z, X), with restrictions on minimal number К of members in each local sample and on maximal difference of Y inside each local sample, where Z plays role of an outcome, X is an independent variable, and Y1 - (Y ..., YL) is a vector of L supplementary continuous variables. Then the procedure for non-parametric joint linearisation of an obtained set of local samples was proposed. The whole proposed method was applied to estimation of models with standard deviation of measurements as outcome Z and measured value as independent variable X. The paper was inspired by difficulties with estimation of the measurement error, which often occur in medicine, if accuracy of a measurement procedure depends on some properties of patient. Nevertheless, the proposed approach seems to be more general. It can be useful in many analyses of observational studies, which aim to estimate a family of the functions, preferable the linear ones, instead a single multivariate model.
Praca prezentuje zastosowanie techniki najbliższych sąsiadów w celu przekształcenia zbioru N danych postaci (Z, X, YT) w zbiór J ~ N prób lokalnych (Z, X), przy ograniczeniach dotyczących minimalnej liczby danych К oraz różnic wartości YT w każdej próbie lokalnej, gdzie Z pełni rolę zmiennej zależnej, X - zmiennej niezależnej, a Y1 = (Y, ..., YL) jest L-wymiarową zmienną dodatkową. Następnie proponuje się procedurę nieparametrycznej łącznej linearyzacji zbioru prób lokalnych. Obie procedury proponuje się stosować do oceny dokładności metod pomiarowych, z odchyleniem standardowym błędu pomiarów jako zmienną Z i wielkością mierzoną jako zmienną X. Proponowane podejście może być użyteczne w innych zastosowaniach, kiedy zamiast modelu regresji wielowymiarowej estymuje się rodzinę zależności regresyjnych.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 2002, 162
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Improved Estimators of Coefficient of Variation in a Finite Population
Autorzy:
Archana, V.
Aruna Rao, K.
Powiązania:
https://bibliotekanauki.pl/articles/465691.pdf
Data publikacji:
2011
Wydawca:
Główny Urząd Statystyczny
Tematy:
Model based comparison
Coefficient of Variation
Simple Random Sampling Regression estimator
Mean Square Error
Confidence interval
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.
Źródło:
Statistics in Transition new series; 2011, 12, 2; 357-380
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Artykuł
Tytuł:
Liczba i wielkość jednostek próbnych do pomiaru leżących martwych drzew metodą liniową
Number and size of sample units for the estimation of coarse woody debris volume using the line intersect method
Autorzy:
Miścicki, S.
Sołtys, A.
Powiązania:
https://bibliotekanauki.pl/articles/980334.pdf
Data publikacji:
2019
Wydawca:
Polskie Towarzystwo Leśne
Tematy:
lesnictwo
obszary chronione
obszar ochrony scislej Bukowa Gora
drzewa martwe
zasoby drzewne
miazszosc drzew
metody pomiarow
metoda liniowa
linie probne
bukowa góra
protected forest
sampling line
single−tree−plot coefficient of variation
standard error
time of measurements
Opis:
The line intersect method is recommended for coarse woody debris (CWD) inventories. This is due to the fact that for the CWD volume estimation with the assumed standard error (SE), the total time of measurements using line sampling units is shorter than when using the fixed−area sample units. The aim of the research was to determine: (1) the number and size of sample units whose use will allow achieving the assumed SE of the CWD volume estimation, and (2) dependence of this number and size of sample units on the quantity of CWD. The research material was collected from 131 sample units (sampling lines) with a length of 50.48 m each. They were systematically located in the stands (128 ha) on Bukowa Góra in the Roztocze National Park (south−east Poland). Data concerning the intersection points of the sampling line (in relation to its beginning) with the axis of a downed log, made it possible to simulate the measurement using shorter sampling lines (4, 8, …, 44 m) than the original ones. The simulation was performed using the original data (when the average CWD volume was 73 m3/ha), which also represented an inventory unit in which the CWD volume accounted for 10, 40 and 70% of the original value. These data were obtained by a random elimination of the appropriate portion of trees. The relationship between the single−tree−plot coefficient of variation (calculated for such a size of a sample unit which on average contains only one log) and the length of the sampling line was determined (figs. 2 and 3). On this basis the number of sample units necessary to obtain the assumed SE value of the target variable was determined (tab. 1). Using the data on labour consumption of individual measurement operations, the total working time was calculated for such a number of sample units that would guarantee obtaining the assumed SE of the CWD volume estimation (tab. 2). The total time of measurements was longer in an inventory unit with scarcer CWD resources (figs. 5 and 6). The optimal (due to the time of measurements needed to achieve the assumed SE of the CWD volume estimation) line length occurred within the range of 4−150 m. The use of sample units with a length of 60−150 m each was recommended in forests with the average CWD volume over 30 m3/ha, and with a length of 150−200 m in forest with sparser CWD resources.
Źródło:
Sylwan; 2019, 163, 01; 35-46
0039-7660
Pojawia się w:
Sylwan
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Artykuł
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