Temat: information loss - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Interval shrinkage estimation of the parameter of exponential distribution in the presence of outliers under loss functions
Autorzy:: Nasiri, Parviz
Powiązania:: https://bibliotekanauki.pl/articles/2108120.pdf
Data publikacji:: 2022-09-14
Wydawca:: Główny Urząd Statystyczny
Tematy:: interval information
mean square error
shrinkage estimator
exponential distribution
uniform distribution
outliers
Linex loss function
Opis:: In this paper, we studied estimators based on an interval shrinkage with equal weights point shrinkage estimators for all individual target points θ¯ ∈ (θ0, θ1) for exponentially distributed observations in the presence of outliers drawn from a uniform distribution. Estimators obtained from both shrinkage and interval shrinkage were compared, showing that the estimators obtained via the interval shrinkage method perform better. Symmetric and asymmetric loss functions were also used to calculate the estimators. Finally, a numerical study and illustrative examples were provided to describe the results.
Źródło:: Statistics in Transition new series; 2022, 23, 3; 65-78
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

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

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