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Wyświetlanie 1-3 z 3
Tytuł:
An improved ridge type estimator for logistic regression
Autorzy:
Varathan, Nagarajah
Powiązania:
https://bibliotekanauki.pl/articles/2108296.pdf
Data publikacji:
2022-09-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
Logistic Regression
Multicollinearity
ridge estimator
Modified almost unbiased ridge logistic estimator
Mean square error
Opis:
In this paper, an improved ridge type estimator is introduced to overcome the effect of multicollinearity in logistic regression. The proposed estimator is called a modified almost unbiased ridge logistic estimator. It is obtained by combining the ridge estimator and the almost unbiased ridge estimator. In order to asses the superiority of the proposed estimator over the existing estimators, theoretical comparisons based on the mean square error and the scalar mean square error criterion are presented. A Monte Carlo simulation study is carried out to compare the performance of the proposed estimator with the existing ones. Finally, a real data example is provided to support the findings.
Źródło:
Statistics in Transition new series; 2022, 23, 3; 113-126
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:
Extracting relevant predictors of the severity of mental illnesses from clinical information using regularisation regression models
Autorzy:
Kaushik, Sakshi
Sabharwal, Alka
Grover, Gurprit
Powiązania:
https://bibliotekanauki.pl/articles/2107145.pdf
Data publikacji:
2022-06-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
adaptive LASSO
group LASSO
mental disorder
multicollinearity
random forest imputation
ridge regression
severity of an illness
Opis:
Mental disorders are common non-communicable diseases whose occurrence rises at epidemic rates globally. The determination of the severity of a mental illness has important clinical implications and it serves as a prognostic factor for effective intervention planning and management. This paper aims to identify the relevant predictors of the severity of mental illnesses (measured by psychiatric rating scales) from a wide range of clinical variables consisting of information on both laboratory test results and psychiatric factors . The laboratory test results collectively indicate the measurements of 23 components derived from vital signs and blood tests results for the evaluation of the complete blood count. The 8 psychiatric factors known to affect the severity of mental illnesses are considered, viz. the family history, course and onset of an illness, etc. Retrospective data of 78 patients diagnosed with mental and behavioural disorders were collected from the Lady Hardinge Medical College & Smt. S.K, Hospital in New Delhi, India. The observations missing in the data are imputed using the non-parametric random forest algorithm. The multicollinearity is detected based on the variance inflation factor. Owing to the presence of multicollinearity, regularisation techniques such as ridge regression and extensions of the least absolute shrinkage and selection operator (LASSO), viz. adaptive and group LASSO are used for fitting the regression model. Optimal tuning parameter λ is obtained through 13-fold cross-validation. It was observed that the coefficients of the quantitative predictors extracted by the adaptive LASSO and the group of predictors extracted by the group LASSO were comparable to the coefficients obtained through ridge regression.
Źródło:
Statistics in Transition new series; 2022, 23, 2; 129-152
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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