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The Influence Function of Scatter Halfspace Depth
In this work, we investigate robustness properties of scatter halfspace depth. Its influence function (IF) and sensitivity curve (SC) are studied in...
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Influence function-based confidence intervals for the Kendall rank correlation coefficient
Correlation coefficients measure the association between two random variables. In circumstances in which the typically-used Pearson correlation...
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Asymptotic expected sensitivity function and its applications to measures of monotone association
We introduce a new type of influence function, the asymptotic expected sensitivity function, which is often equivalent to but mathematically more...
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Fast rates of exponential cost function
In this paper, we introduce a new algorithm of learning with exponential cost function within the framework of statistical learning theory. We...
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Bayesian influence diagnostics for a multivariate GARCH model
In this paper, we introduce a diagnostic method for identifying influential observations in the multivariate DCC-GARCH model. We employ the Bayesian...
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Tilted Nonparametric Regression Function Estimation
This paper provides the theory about the convergence rate of the tilted version of linear smoother. We study tilted linear smoother, a class of...
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Local influence analysis in the softplus INGARCH model
In statistical diagnostics, detecting influential observations is pivotal for assessing model fitting. To address parameter restrictions while...
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Local Influence in Regression Models with Measurement Errors and Censored Data Considering the Student–t Distribution
In this paper, the local influence approach is studied in regression models with measurement errors for multivariate censored responses under the...
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The Upcrossing Rate via the Characteristic Function
As was detailed in Chap. 4, a key function for a practical assessment of the extreme value distribution of stochastic response processes is the...
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The Influence of Brand Culture on Consumer Purchasing Behavior Intention
In the current context of economic globalization, international brands continue to come in and local brands continue to emerge, with a large number...
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Influence measures in nonparametric regression model with symmetric random errors
In this paper we present several diagnostic measures for the class of nonparametric regression models with symmetric random errors, which includes...
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Research on the Influence of Confucian Management on Corporate Green Innovation
With the increasingly prominent ecological environment and resource problems in recent years, sustainable development has become a global topic. As...
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Using the softplus function to construct alternative link functions in generalized linear models and beyond
Response functions that link regression predictors to properties of the response distribution are fundamental components in many statistical models....
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Adaptive smoothing spline estimator for the function-on-function linear regression model
In this paper, we propose an adaptive smoothing spline (AdaSS) estimator for the function-on-function linear regression model where each value of the...
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Study on the Influence of Directors’ Network Centrality on Listed Companies’ Participation in OFDI
As a form of corporate governance structure, the board system defines the allocation and exercise of internal power within a company, making it an...
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Research on the Function Mechanism of Enterprise Safety Culture
The role of safety culture in preventing accidents in oil and gas field enterprises is paramount, serving as the critical pivot from passive to...
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Polynomial spline estimation of panel count data model with an unknown link function
Panel count data are frequently encountered in follow-up studies such as clinical trials, reliability researches, and insurance studies. Models about...
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Robust estimation of the conditional stable tail dependence function
We propose a robust estimator of the stable tail dependence function in the case where random covariates are recorded. Under suitable assumptions, we...
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Bespoke Learning in Static Systems: Application to Learning Sub-surface Material Density Function
In this chapter we discuss bespoke learning of a system property in a static system, i.e. discuss bespoke learning of the relevant system property...