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Identification of representative trees in random forests based on a new tree-based distance measure
In life sciences, random forests are often used to train predictive models. However, gaining any explanatory insight into the mechanics leading to a...
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On the Rényi index of random graphs
Networks (graphs) permeate scientific fields such as biology, social science, economics, etc. Empirical studies have shown that real-world networks...
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Random Forests
Bagging refers to fitting a learning algorithm on bootstrap samples and aggregating the results. A random forest performs bagging of trees, and in...
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Point process convergence for symmetric functions of high-dimensional random vectors
The convergence of a sequence of point processes with dependent points, defined by a symmetric function of iid high-dimensional random vectors, to a...
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A new Bayesian discrepancy measure
The aim of this article is to make a contribution to the Bayesian procedure of testing precise hypotheses for parametric models. For this purpose, we...
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A hierarchical clustering method for random intervals based on a similarity measure
A new clustering method for random intervals that are measured in the same units over the same group of individuals is provided. It takes into...
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On Mathai–Haubold Past Entropy Measure
In this paper, Mathai–Haubold past entropy measure is proposed and its properties are studied. Also some generalized inequalities related to...
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Random Variables and Expectations
Random experiments have sample spaces may not consist of numbers. For instance, in a coin-tossing experiment, the sample space consists of the...
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Continuous Random Variables
The definition of continuous random variables and their means and variances. An introduction to the normal distribution and the standardization...
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Functions of Random Variables
This chapter discusses single random variables and its transforms. Various types of transformations such as sum, squares, square-roots,...
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RGA: a unified measure of predictive accuracy
A key point to assess statistical forecasts is the evaluation of their predictive accuracy. Recently, a new measure, called Rank Graduation Accuracy...
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Extremes for stationary regularly varying random fields over arbitrary index sets
We consider the clustering of extremes for stationary regularly varying random fields over arbitrary growing index sets. We study sufficient...
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On weighted version of dynamic cumulative residual inaccuracy measure based on extropy
This paper introduces the concept of dynamic cumulative residual extropy inaccuracy (DCREI) by expanding on the existing dynamic cumulative residual...
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Statistical simulations with LR random fuzzy numbers
Computer simulations are a powerful tool in many fields of research. This also applies to the broadly understood analysis of experimental data, which...
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On variability of the mean remaining lifetime at random age
In this short communication, we discuss the remaining lifetime and the mean remaining lifetime (MRL) of an item with a random age. We show that the...
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On the Baum–Katz theorem for randomly weighted sums of negatively associated random variables with general normalizing sequences and applications in some random design regression models
In this paper, we develop Jajte’s technique, which is used in the proof of strong laws of large numbers, to prove complete convergence for randomly...
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Interpretability via Random Forests
Although there is no consensus on a precise definition of interpretability, it is possible to identify several requirements: “simplicity, stability,...
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Probability: One Discrete Random Variable
The definition of discrete random variables in probability theory. The definition of the probability distribution of a random variable and of...
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A Unified Approach to Hierarchical Random Measures
Hierarchical models enjoy great popularity due to their ability to handle heterogeneous groups of observations by leveraging on their underlying...
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Tail probabilities of random linear functions of regularly varying random vectors
We provide a new extension of Breiman’s Theorem on computing tail probabilities of a product of random variables to a multivariate setting. In...
