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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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Variable selection using axis-aligned random projections for partial least-squares regression
In high-dimensional data modeling, variable selection plays a crucial role in improving predictive accuracy and enhancing model interpretability...
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Exact Estimates of the Probability of a Random Variable Falling Into a Specified Interval in One Class of Unimodal Distributions
The authors consider a class A of unimodal distribution functions F μ ( x ) for which only two first moments and mode m that coincides with the first...
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Improvement in variance estimation using transformed auxiliary variable under simple random sampling
This paper offers a novel approach to formulate efficient ratio estimator of the population variance using a transformed auxiliary variable. The...
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Random Variables
Random variables are the central objects of study in probability. The name ‘random variables’ is somewhat of a misnomer since they are neither random...
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Use and misuse of random forest variable importance metrics in medicine: demonstrations through incident stroke prediction
BackgroundMachine learning tools such as random forests provide important opportunities for modeling large, complex modern data generated in...
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Solving capacitated vehicle routing problem with demands as fuzzy random variable
Capacitated vehicle routing problem (CVRP) is a classical combinatorial optimization problem in which a network of customers with specified demands...
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Parametric Analysis of Tampered Random Variable Model for Multiple Step-Stress Life Test
The tampered random variable (TRV) model for multiple step-stress life testing experiment was proposed by Sultana and Dewanji (Commun Stat Theory...
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Exploring the variable importance in random forests under correlations: a general concept applied to donor organ quality in post-transplant survival
Random Forests are a powerful and frequently applied Machine Learning tool. The permutation variable importance (VIMP) has been proposed to improve...
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Random Variables
Random variables associate real values with the outcome of a random experiment. This chapter provides a mathematical definition of a random variable...
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Adaptive random neighbourhood informed Markov chain Monte Carlo for high-dimensional Bayesian variable selection
We introduce a framework for efficient Markov chain Monte Carlo algorithms targeting discrete-valued high-dimensional distributions, such as...
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Random Signals
Random signals arise in all fields of science and engineering. Measurements of all physical variables are never perfect, and the imperfections can be...
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On the Maximum Domain of Attraction for Transformations of a Normal Random Variable
Limit distributions of the maximum of independent copies of a transformation of a Gaussian random variable are studied. Sufficient and necessary...
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A new improved generalized class of estimators for population distribution function using auxiliary variable under simple random sampling
This article aims to suggest a new improved generalized class of estimators for finite population distribution function of the study and the...
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Introduction to Probability and Random Variables
This textbook provides a straightforward, clear explanation of probability and random variables for communications engineering students. The author...
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On the asymptotic behaviour of the joint distribution of the maxima and minima of observations, when the sample size is a random variable
In this paper, we obtain the asymptotic form of the joint distribution of maxima and minima of independent observations, when the sample size is a...
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Fast Selection of Bandwidths for Nonparametric Estimation of the Probability Density of a Two-Dimensional Random Variable with Dependent Components
AbstractA method for fast selection of bandwidths of kernel functions in the nonparametric estimation of a two-dimensional random variable with...