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Wyświetlanie 1-15 z 52
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 Multi-Auxiliary Characters With Subsampling The Nonrespondents
Autorzy:
Khare, B. B.
Sinha, R. R.
Powiązania:
https://bibliotekanauki.pl/articles/465983.pdf
Data publikacji:
2011
Wydawca:
Główny Urząd Statystyczny
Tematy:
Population mean
Bias
Mean square error
Multi-auxiliary characters
Opis:
The aim of this paper is to suggest a class of two phase sampling estimators for population mean using multi-auxiliary characters in presence of non-response on study character. The expressions for bias and mean square error are obtained. The condition for minimum mean square error of the proposed class of estimators has been given. The optimum values of the size of first phase sample, second phase sample and the sub sampling fraction of non-responding group have been determined for the fixed cost and for the specified precision. A comparative study of the proposed class of estimators has been carried out with an empirical study.
Źródło:
Statistics in Transition new series; 2011, 12, 1; 45-56
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A modified robust confidence interval for the population mean of distribution based on deciles
Autorzy:
Abu-Shawiesh, Moustafa Omar Ahmed
Sinsomboonthong, Juthaphorn
Kibria, Bhuiyan Mohammad Golam
Powiązania:
https://bibliotekanauki.pl/articles/2034111.pdf
Data publikacji:
2022-03-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
robust confidence interval
decile mean
decile mean standard deviation
decile mean standard error
Monte Carlo simulation
Opis:
The confidence interval is an important statistical estimator of population location and dispersion parameters. The paper considers a robust modified confidence interval, which is an adjustment of the Student’s t confidence interval based on the decile mean and decile standard deviation for estimating the population mean of a skewed distribution. The efficiency of the proposed interval estimator is evaluated on the basis of an extensive Monte Carlo simulation study. The coverage ratio and average width of the proposed confidence interval are compared with certain existing and widely used confidence intervals. The simulation results show that, in general, the proposed interval estimator’s performance is highly effective. For illustrative purposes, three real-life data sets are analyzed, which, to a certain extent, support the findings obtained from the simulation study. Thus, we recommend that practitioners use the robust modified confidence interval for estimating the population mean when the data are generated by a normal or skewed distribution.
Źródło:
Statistics in Transition new series; 2022, 23, 1; 109-128
1234-7655
Pojawia się w:
Statistics in Transition new series
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:
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:
Advances in estimation by the item sum technique in two move successive sampling
Autorzy:
Priyanka, Kumari
Trisandhya, Pidugu
Powiązania:
https://bibliotekanauki.pl/articles/19900669.pdf
Data publikacji:
2023-09-08
Wydawca:
Główny Urząd Statystyczny
Tematy:
Sensitive variable
Successive moves
Population mean
Variance
Mean squared error
Optimum matching fraction
Opis:
The present article proposes an estimator using the Item Sum Technique (IST) for the estimation of dynamic sensitive population mean using non-sensitive auxiliary information in the two-move successive sampling. Properties of the proposed IST estimator have been analysed. Possible allocation designs for allocating long-list and short-list samples pertaining to the IST have been elaborated. The comparison between various allocation designs has been carried out. Theoretical considerations have been integrated with numerical as well as simulation studies to show the working version of the proposed IST estimators in the two-move successive sampling.
Źródło:
Statistics in Transition new series; 2023, 24, 4; 123-138
1234-7655
Pojawia się w:
Statistics in Transition new series
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:
Household expenditure in Africa: evidence of mean reversion
Autorzy:
Olalude, Gbenga A.
Yaya, OlaOluwa S.
Olayinka, Hammed A.
Jimoh, Toheeb A.
Adebiyi, Aliu A.
Adesina, Oluwaseun A.
Powiązania:
https://bibliotekanauki.pl/articles/19233453.pdf
Data publikacji:
2023-06-13
Wydawca:
Główny Urząd Statystyczny
Tematy:
household expenditure
poverty level
mean reversion
Africa
Opis:
This paper investigates the mean reversion in household consumption expenditure in 38 African countries; the expenditure series used were the percentage of nominal Gross Domestic Product (GDP), each spanning 1990 to 2018. Due to a small sample size of time series of household expenditure, with possible structural breaks, we used the Fourier unit root test approach, which enabled us to model both smooth and instantaneous breaks in the expenditure series. The results showed non-mean reversion in the consumption expenditure pattern of Egypt, Madagascar and Tunisia, while mean reversion was detected in the remaining 35 countries. Thus, the majority of African countries are on the verge of recession once shocks that affect the growth of GDP are triggered. Findings in this paper are of relevance to policymakers on poverty alleviation programmes in those selected countries.
Źródło:
Statistics in Transition new series; 2023, 24, 3; 171-186
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:
Modelling sensitive issues on successive waves
Autorzy:
Priyanka, Kumari
Trisandhya, Pidugu
Powiązania:
https://bibliotekanauki.pl/articles/1359283.pdf
Data publikacji:
2019-04-25
Wydawca:
Główny Urząd Statystyczny
Tematy:
Sensitive variable
Successive waves
Scrambled Response model
Class of estimators
Population mean
Bias
Mean squared error
Optimum matching fraction
Opis:
This paper addresses the problem of estimation of population mean of sensitive character using non-sensitive auxiliary variable at current wave in two wave successive sampling. A general class of estimator is proposed and studied under randomized and scrambled response model. Many existing estimators have been modified to work for sensitive population mean estimation. The modified estimators became the members of proposed general class of estimators. The detail properties of all the estimators have been discussed. Their behaviour under randomized and scrambled response techniques have been elaborated. Numerical illustrations including simulation have been accompanied to judge the performance of different estimators. Finally suitable recommendations are forwarded.
Źródło:
Statistics in Transition new series; 2019, 20, 1; 41-65
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:
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
Wyświetlanie 1-15 z 52

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