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Telegraph-Type Processes in Higher Dimensions
In recent decades, finite-velocity stochastic motions in Euclidean spaces of various dimensions have been extensively studied. This chapter provides...
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Stream Data Model and Architecture
In recent era, Big Data Streams have significant impact owing the reality that there are many applications from where a big amount of data is...
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Study on Furnace Temperature Curve Based on Heat Conduction Model
Temperature control is very important to product quality in circuit board welding production of reflow furnace. In this paper, the mathematical model...
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Fast generation of Gaussian random fields for direct numerical simulations of stochastic transport
We propose a novel discrete method of constructing Gaussian Random Fields based on a combination of modified spectral representations, Fourier and...
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Logistic regression models for elastic shape of curves based on tangent representations
Shape analysis is widely used in many application areas such as computer vision, medical and biological studies. One challenge to analyze the shape...
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A Review of Bayesian Modelling in Glaciology
Bayesian methods for modelling and inference are being increasingly used in the cryospheric sciences and glaciology in particular. Here, we present a...
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Asymptotic Results for the Absorption Time of Telegraph Processes with Elastic Boundary at the Origin
We consider a telegraph process with elastic boundary at the origin studied recently in the literature (see e.g. Di Crescenzo et al. (Methodol Comput...
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Shape-based functional data analysis
Functional data analysis (FDA) is a fast-growing area of research and development in statistics. While most FDA literature imposes the classical
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Basis expansion approaches for functional analysis of variance with repeated measures
The methodological contribution in this paper is motivated by biomechanical studies where data characterizing human movement are waveform curves...
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Entropy in Physics
The term entropy was created in statistical mechanics; it is closely connected to information, and it is this connection that is the theme of this...
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Space-Time Processes
This chapter deals with stationary Gaussian processes in $${\mathbb...
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Ornstein-Uhlenbeck Processes of Bounded Variation
Ornstein-Uhlenbeck process of bounded variation is introduced as a solution of an analogue of the Langevin equation with an integrated telegraph...
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Large deviations for randomly weighted least squares estimator in a nonlinear regression model
In this work, we introduce the random weighting method to the nonlinear regression model and study the asymptotic properties for the randomly...
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Functional Linear Models for the Analysis of Similarity of Waveforms
In seismology methods based on waveform similarity analysis are adopted to identify sequences of events characterized by similar fault mechanism and...
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How many data clusters are in the Galaxy data set?
In model-based clustering, the Galaxy data set is often used as a benchmark data set to study the performance of different modeling approaches....
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Sparse and smooth functional data clustering
A new model-based procedure is developed for sparse clustering of functional data that aims to classify a sample of curves into homogeneous groups...
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Aerospace Flight Modeling and Experimental Testing
Validation processes for aerospace flight modeling require to articulate uncertainty quantification methods with the experimental approach. On this...
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Potential to Density via Poisson Equation: Application to Bespoke Learning of Gravitational Mass Density in Real Galaxy
In multiple real-world dynamical systems, structural properties can be deterministically linked to the evolution-driving function. For example, in...
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A Non-local Fokker-Planck Equation with Application to Probabilistic Evaluation of Sediment Replenishment Projects
We analyze a new mathematical model to evaluate performance of recent sediment-based environmental restoration projects from a stochastic viewpoint...
