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Intuition and exponential growth: bias and the roles of parameterization and complexity
Exponential growth bias is the phenomenon that humans intuitively underestimate exponential growth. This article reports on an experiment where...
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Improved population mean estimator with exponential function under non-response
In this article, we consider a new family of exponential type estimators for estimating the unknown population mean of the study variable. We propose...
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Bias in the distribution of holonomy on compact hyperbolic 3-manifolds
Ambient prime geodesic theorems provide an asymptotic count of closed geodesics by their length and holonomy and imply effective equidistribution of...
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Reducing Bias and Quantifying Uncertainty in Fluorescence Produced by PCR
We present a new approach for relating nucleic-acid content to fluorescence in a real-time Polymerase Chain Reaction (PCR) assay. By coupling a...
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Tumor growth and population modeling in a toxicant-stressed random environment
When examining some factors that contribute to the growth or decline of a population or tumor, it is essential to consider a random hypothesis. By...
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Modelling the Effects of Growth and Remodelling on the Density and Structure of Cancellous Bone
A two-stage model is proposed for investigating remodelling characteristics in bone over time and distance to the growth plate. The first stage...
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Bias in Rank-Frequency Relation
As shown at the end of the previous chapter, the rank-frequency relation of Moby Dick almost follows a power law -> with an η value close to 1. The...
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Traveling waves of an FKPP-type model for self-organized growth
We consider a reaction–diffusion system of densities of two types of particles, introduced by Hannezo et al. (Cell 171(1):242–255.e27, 2017). It is a...
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Rapid Convergence of the Unadjusted Langevin Algorithm: Isoperimetry Suffices
We study the Unadjusted Langevin Algorithm (ULA) for sampling from a probability distribution...
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Some Probability Distributions and Their Uses
In the distributions chapter we study the following distributions: Bernoulli Trials, binomial, poisson, exponential, Cauchy, normal, lognormal, beta,...
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Simulation of the drawdown and its duration in Lévy models via stick-breaking Gaussian approximation
We develop a computational method for expected functionals of the drawdown and its duration in exponential Lévy models. It is based on a novel...
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Advanced Analytics for Ethical Considerations in Mining Industry
Advanced analytics and AI technologies are driving digital transformation in the mining industry. Although these technologies are delivering results,...
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Machine learning of synaptic structure with neurons to promote tumor growth
In this paper, we use machine learning techniques to form a cancer cell model that displays the growth and promotion of synaptic and electrical...
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The Impact of Government Policy Changes on Stock Market Forecasting
Financial analysts and investors often seek to understand government policies and their effects on stock market before making corresponding...
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Estimation and Classification Using Samples from Two Logistic Populations with a Common Scale Parameter
This paper deals with the estimation and classification of two logistic populations with a common scale and different location parameters. Utilizing...
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A biased random walk approach for modeling the collective chemotaxis of neural crest cells
Collective cell migration is a multicellular phenomenon that arises in various biological contexts, including cancer and embryo development....
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Communicability cosine distance: similarity and symmetry in graphs/networks
A distance based on the exponential kernel of the adjacency matrix of a graph and representing how well two vertices connect to each other in a graph...
