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Wyszukujesz frazę "Bayes estimator" wg kryterium: Temat


Wyświetlanie 1-6 z 6
Tytuł:
Development of Small Area Estimationin Official Statistics
Autorzy:
Kordos, Jan
Powiązania:
https://bibliotekanauki.pl/articles/466085.pdf
Data publikacji:
2016
Wydawca:
Główny Urząd Statystyczny
Tematy:
small area estimation
official statistics
sampling survey
direct estimation
indirect estimation
empirical Bayes estimator
hierarchical Bayes estimator
data quality
Opis:
The author begins with a general assessment of the mission of the National Statistics Institutes (NSIs), main producers of official statistics, which are obliged to deliver high quality statistical information on the state and evolution of the population, the economy, the society and the environment. These statistical results must be based on scientific principles and methods. They must be made available to the public, politics, economy and research for decision-making and information purposes. Next, before discussing general issues of small area estimation (SAE) in official statistics, the author reminds: the methods of sampling surveys, data collection, estimation procedures, and data quality assessment used for official statistics. Statistical information is published in different breakdowns with stable or even decreasing budget while being legally bound to control the response burden. Special attention is paid, from a practitioner point of view, to synthetic development of small area estimation in official statistics, beginning with international seminars and conferences devoted to SAE procedures and methods (starting with the Canadian symposium, 1985, and the Warsaw conference, 1992, to the Poznan conference, Poland, 2014), and some international projects (EURAREA, SAMPLE, BIAS, AMELI, ESSnet). Next, some aspects of development of SAE in official statistics are discussed. At the end some conclusions regarding quality of SAE procedures are considered.
Źródło:
Statistics in Transition new series; 2016, 17, 1; 105-132
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Bayesian estimation of the Gini index and the Bonferroni index for the Dagum distribution with the application of different priors
Autorzy:
Arora, Sangeeta
Mahajan, Kalpana K.
Jangra, Vikas
Powiązania:
https://bibliotekanauki.pl/articles/2107043.pdf
Data publikacji:
2022-06-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
Inequality measures
Bayes estimator
credible interval
LINEX loss function
Opis:
Bayesian estimators and highest posterior density credible intervals are obtained for two popular inequality measures, viz. the Gini index and the Bonferroni index in the case of the Dagum distribution. The study considers informative and non-informative priors, i.e. the Mukherjee-Islam prior and the extension of Jeffrey’s prior, respectively, under the presumption of the Linear Exponential (LINEX) loss function. A Monte Carlo simulation study is carried out in order to obtain the relative efficiency of both the Gini and Bonferroni indices while taking into consideration different priors and loss functions. The estimated loss proves lower when using the Mukherjee-Islam prior in comparison to the extension of Jeffrey’s prior and the LINEX loss function outperforms the squared error loss function (SELF) in terms of the estimated loss. Highest posterior density credible intervals are also obtained for both these measures. The study used real-life data sets for illustration purposes.
Źródło:
Statistics in Transition new series; 2022, 23, 2; 49-68
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bayesian estimation of fertility rates under imperfect age reporting
Autorzy:
Verma, Vivek
Nath, Dilip C.
Dwivedi, S. N.
Powiązania:
https://bibliotekanauki.pl/articles/14761323.pdf
Data publikacji:
2023-03-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
Fisher information
square error loss function
age-specific marital fertility rate
Bayes estimator
maximum likelihood principle
Opis:
This article outlines the application of the Bayesian method of parameter estimation to situations where the probability of age misreporting is high, leading to transfers of an individual from one age group to another. An essential requirement for Bayesian estimation is prior distribution, derived for both perfect and imperfect age reporting. As an alternative to the Bayesian methodology, a classical estimator based on the maximum likelihood principle has also been discussed. Here, the age misreporting probability matrix has been constructed using a performance indicator, which incorporates the relative performance of estimators based on age when reported correctly instead of misreporting. The initial guess of performance indicators can either be empirically or theoretically derived. The method has been illustrated by using data on Empowered Action Group (EAG) states of India from National Family Health Survey-3 (2005-2006) to estimate the total marital fertility rates. The present study reveals through both a simulation and real-life set-up that the Bayesian estimation method has been more promising and reliable in estimating fertility rates, even in situations where age misreporting is higher than in case of classical maximum likelihood estimates.
Źródło:
Statistics in Transition new series; 2023, 24, 2; 39-57
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized Bayes Estimation of Spatial Autoregressive Models
Autorzy:
Chaturvedi, Anoop
Mishra, Sandeep
Powiązania:
https://bibliotekanauki.pl/articles/1194464.pdf
Data publikacji:
2019-07-02
Wydawca:
Główny Urząd Statystyczny
Tematy:
spatial autoregressive model
prior and posterior distributions
generalized Bayes estimator
admissibility and minimaxity
total fertility rate (TFR)
Opis:
The spatial autoregressive (SAR) models are widely used in spatial econometrics for analyzing spatial data involving spatial autocorrelation structure. The present paper derives a Generalized Bayes estimator for estimating the parameters of a SAR model. The admissibility and minimaxity properties of the estimator have been discussed. For investigating the finite sample behaviour of the estimator, the results of a simulation study have been presented. The results of the paper are applied to demographic data on total fertility rate for selected Indian states.
Źródło:
Statistics in Transition new series; 2019, 20, 2; 15-31
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new generalization of the Pareto distribution and its applications
Autorzy:
Almetwally, Ehab M.
Ahmad, Hanan A. Haj
Powiązania:
https://bibliotekanauki.pl/articles/1059040.pdf
Data publikacji:
2020-12-04
Wydawca:
Główny Urząd Statystyczny
Tematy:
Marshall-Olkin distribution
alpha power transformation
maximum likelihood estimator
maximum product spacings
bayes estimation
simulation
Opis:
This paper introduces a new generalization of the Pareto distribution using the Marshall Olkin generator and the method of alpha power transformation. This new model has several desirable properties appropriate for modelling right skewed data. The Authors demonstrate how the hazard rate function and moments are obtained. Moreover, an estimation for the new model parameters is provided, through the application of the maximum likelihood and maximum product spacings methods, as well as the Bayesian estimation. Approximate confidence intervals are obtained by means of an asymptotic property of the maximum likelihood and maximum product spacings methods, while the Bayes credible intervals are found by using the Monte Carlo Markov Chain method under different loss functions. A simulation analysis is conducted to compare the estimation methods. Finally, the application of the proposed new distribution to three real-data examples is presented and its goodness-of-fit is demonstrated. In addition, comparisons to other models are made in order to prove the efficiency of the distribution in question.
Źródło:
Statistics in Transition new series; 2020, 21, 5; 61-84
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Comparison of Small Area Estimation Methods for Poverty Mapping
Autorzy:
Guadarrama, María
Molina, Isabel
Rao, J. N. K.
Powiązania:
https://bibliotekanauki.pl/articles/465671.pdf
Data publikacji:
2016
Wydawca:
Główny Urząd Statystyczny
Tematy:
area level model
non-linear parameters
empirical best estimator
hierarchical Bayes
poverty mapping
unit level models
Opis:
We review main small area estimation methods for the estimation of general nonlinear parameters focusing on FGT family of poverty indicators introduced by Foster, Greer and Thorbecke (1984). In particular, we consider direct estimation, the Fay-Herriot area level model (Fay and Herriot, 1979), the method of Elbers, Lanjouw and Lanjouw (2003) used by the World Bank, the empirical Best/Bayes (EB) method of Molina and Rao (2010) and its extension, the Census EB, and finally the hierarchical Bayes proposal of Molina, Nandram and Rao (2014). We put ourselves in the point of view of a practitioner and discuss, as objectively as possible, the benefits and drawbacks of each method, illustrating some of them through simulation studies.
Źródło:
Statistics in Transition new series; 2016, 17, 1; 41-66
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-6 z 6

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