2020
DOI: 10.4236/ojs.2020.101010
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The Performance of Robust Methods in Logistic Regression Model

Abstract: Logistic regression is the most important tool for data analysis in various fields. The classical approach for estimating parameters is the maximum likelihood estimation, a disadvantage of this method is high sensitivity to outlying observations. Robust estimators for logistic regression are alternative techniques due to their robustness. This paper presents a new class of robust techniques for logistic regression. They are weighted maximum likelihood estimators which are considered as Mallows-type estimator. … Show more

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Cited by 8 publications
(9 citation statements)
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“…e goodness of fit of the model is 0.435, which shows that the model has good explanatory power. From the perspective of indicators, if the estimated coefficient of managers' risk preference, chairman and general manager's concurrent appointment, and management's shareholding ratio are positive, it indicates that managers' risk preference, chairman and general manager's concurrent appointment, and management's shareholding ratio are positively correlated with financial reporting fraud; if the estimated coefficient of directors' personnel replacement frequency, related party transaction frequency, and their influence is positive [25], it indicates that the risk preference of managers, chairman and general manager's concurrent appointment, and management's shareholding ratio are positively correlated with financial reporting fraud. If the estimated coefficient of the size of the regulatory council and the number of shareholders' meetings of the company is negative, then it is inversely proportional to the occurrence of fraud; if the estimated coefficient of the audit opinion type is negative, then it is inversely proportional to the occurrence of fraud; if the estimated coefficient of the current ratio and asset liability ratio is negative, then it is inversely proportional to the occurrence of fraud.…”
Section: Regression Analysis Of Prewarning and Postinvestigationmentioning
confidence: 99%
“…e goodness of fit of the model is 0.435, which shows that the model has good explanatory power. From the perspective of indicators, if the estimated coefficient of managers' risk preference, chairman and general manager's concurrent appointment, and management's shareholding ratio are positive, it indicates that managers' risk preference, chairman and general manager's concurrent appointment, and management's shareholding ratio are positively correlated with financial reporting fraud; if the estimated coefficient of directors' personnel replacement frequency, related party transaction frequency, and their influence is positive [25], it indicates that the risk preference of managers, chairman and general manager's concurrent appointment, and management's shareholding ratio are positively correlated with financial reporting fraud. If the estimated coefficient of the size of the regulatory council and the number of shareholders' meetings of the company is negative, then it is inversely proportional to the occurrence of fraud; if the estimated coefficient of the audit opinion type is negative, then it is inversely proportional to the occurrence of fraud; if the estimated coefficient of the current ratio and asset liability ratio is negative, then it is inversely proportional to the occurrence of fraud.…”
Section: Regression Analysis Of Prewarning and Postinvestigationmentioning
confidence: 99%
“…8). However, in this study, parameters were estimated by equalizing the weights obtained by the weighting function introduced by [36] and proposed by [33]. First, the square of the Mahalanobis distances of the explanatory variables is calculated according to the computed 𝜇̂( 0) and Σ ̂(0) values.…”
Section: Weighted Maximum Likelihood Estimator (Wmle)mentioning
confidence: 99%
“…10). Weighted Bianco and Yohai (WBY) estimator can be defined as follows [27][28][29][30][31][32][33][34][35][36][37][38][39][40]:…”
Section: Bianco Yohai Estimator (Bye) and Weighted Bianco Yohai Estimator (Wbye)mentioning
confidence: 99%
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“…15,16 This is due to its characteristics that LR classifier is appropriate for developing a probabilistic framework. 17,18 This is because it can easily adjust the classification threshold to find confidence classes. 18 LR classifier can easily incorporate new training data into the model as well.…”
Section: Introductionmentioning
confidence: 99%