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Model Transfer and Universal Patterns: Lessons from the Yule Process
Model transfer refers to the observation that particular model structures are used across multiple distinct scientific domains. This paper puts...
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Probability Distribution of Tree Age for the Simple Birth–Death Process, with Applications to Distributions of Number of Ancestral Lineages and Divergence Times for Pairs of Taxa in a Yule Tree
In this contribution, a general expression is derived for the probability density of the time to the most recent common ancestor (TMRCA) of a simple...
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The modified Yule-Walker method for multidimensional infinite-variance periodic autoregressive model of order 1
The time series with periodic behavior, such as the periodic autoregressive (PAR) models belonging to the class of the periodically correlated...
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Do Ultra-Orthodox Israeli Jews Suffer more than Secular Israeli Jews from Obesity? Gender, Cohort Effect and the Yule–Simpson Paradox
The Yule–Simpson paradox indicates contradicting statistical outcomes for the pooled sample and for each stratified group separately. The objective...
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On a Two-Parameter Yule-Simon Distribution
We extend the classical one-parameter Yule-Simon law to a version depending on two parameters, which in part appeared in Bertoin (J Stat Phys...
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Yule–Simpson’s paradox: the probabilistic versus the empirical conundrum
The current literature views Simpson’s paradox as a probabilistic conundrum by taking the premises (probabilities/parameters/ frequencies) as known....
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One-misrecorded Poisson INAR(1) model via two random operators with application to crime and economics data
In this paper, we propose a first-order non-negative integer-valued autoregressive (INAR(1)) model with one-misrecorded Poisson (OMP) marginal via a...
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A Model for Cell Proliferation in a Develo** Organism
In mathematical biology, there is a great deal of interest in producing continuum models by scaling discrete agent-based models governed by local...
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Presenting AR Model Error in Terms of Geman-McClure Function for Prediction of Processes in Telecommunications
AbstractSpecific features of using the Geman-McClure function have been analyzed that are based on its properties in predicting telecommunication...
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A Tractable Complex Network Model Based on the Stochastic Mean-Field Model of Distance
Much recent research activity has been devoted to empirical study and theoretical models of complex networks (random graphs) possessing three...
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Markov Model and Hidden Stochastic Model
A general categorisation in the realm of HSM is that one distinguishes between stationary and non-stationary processes. The stationary processes have...
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On Bernoulli trials with unequal harmonic success probabilities
A Bernoulli scheme with unequal harmonic success probabilities is investigated, together with some of its natural extensions. The study includes the...
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Model Selection
This chapter shows an application of the MDL principle to statistical model selection. First a number of existing model selection criteria such as...
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Forecasting multidimensional autoregressive time series model with symmetric \(\alpha\)-stable noise using artificial neural networks
Artificial neural networks have been widely studied and applied in time series forecasting. However, the existing studies focus more on the...
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New Discrete Bilal Distribution and Associated INAR(1) Process
AbstractThe significance of applications in count data modeling to real-life scenarios has been emphasized in numerous studies. The present paper...
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Well-Adapted to Bounded Norms Predictive Model for Aviation Sensor Systems
Aviation sensor systems deal with measurement systems, random processes and signals, filtering, estimation and aiding approaches, and can take into...
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Lifetime Prediction of a Hydraulic Pump Using ARIMA Model
In the present work, the Auto-Regressive Integrated Moving-Average (ARIMA) forecasting method is used to predict the remaining useful life (RUL) of...
