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This paper introduces a new method to estimate the spectral distribution of a population covariance matrix from high-dimensional data. The method is founded on a meaningful generalization of the seminal Marcenko-Pastur equation, originally…

Methodology · Statistics 2013-02-05 Weiming Li , Jiaqi Chen , Yingli Qin , Jianfeng Yao , Zhidong Bai

Enrollment projection is a critical aspect of university management, guiding decisions related to resource allocation and revenue forecasting. However, despite its importance, there remains a lack of transparency regarding the methodologies…

Machine Learning · Computer Science 2024-05-24 Yan Zhao , Amy Otteson

Many dynamic microsimulation models have shown their ability to reasonably project detailed population and households using non-data based household formation and dissolution rules. Although, those rules allow modellers to simplify changes…

General Economics · Economics 2020-06-18 Amarin Siripanich , Taha Rashidi

A probability model is presented for the dynamics of mutation-selection balance in a haploid infinite-population infinite-sites setting sufficiently general to cover mutation-driven changes in full age-specific demographic schedules. The…

Populations and Evolution · Quantitative Biology 2007-05-23 David Steinsaltz , Steven N. Evans , Kenneth W. Wachter

The parameters of a discrete stationary Markov model are transition probabilities between states. Traditionally, data consist in sequences of observed states for a given number of individuals over the whole observation period. In such a…

Computation · Statistics 2012-04-30 Alberto Pasanisi , Shuai Fu , Nicolas Bousquet

Structuring a viable pension plan is a problem that arises in the study of financial contracts pricing and bears special importance these days. Deterministic pension models often rely on projections that are based on several assumptions…

Risk Management · Quantitative Finance 2014-07-03 Paz Grimberg , Zeev Schuss

In this paper, we consider statistical estimation of time-inhomogeneous aggregate Markov models. Unaggregated models, which corresponds to Markov chains, are commonly used in multi-state life insurance to model the biometric states of an…

Statistics Theory · Mathematics 2023-08-11 Jamaal Ahmad , Mogens Bladt

Professionals' decisions are the focus of every field. For example, politicians' decisions will influence the future of the country, and stock analysts' decisions will impact the market. Recognizing the influential role of professionals'…

Statistical Finance · Quantitative Finance 2024-10-11 Chung-Chi Chen , Hiroya Takamura , Ichiro Kobayashi , Yusuke Miyao

This work introduces a new framework for modeling financial markets through an interpretable probabilistic state machine. By clustering historical returns based on momentum and risk features across multiple time horizons, we identify…

Computational Engineering, Finance, and Science · Computer Science 2025-10-02 Christian Oliva , Silviu Gabriel Tinjala

In this essay, we have comprehensively evaluated the feasibility and suitability of adopting the Machine Learning Models on the forecast of corporation fundamentals (i.e. the earnings), where the prediction results of our method have been…

Statistical Finance · Quantitative Finance 2020-05-29 Xinyue Cui , Zhaoyu Xu , Yue Zhou

In this paper, we systematize the modeling of probabilistic systems for the purpose of analyzing them with model counting techniques. Starting from unbiased coin flips, we show how to model biased coins, correlated coins, and distributions…

Logic in Computer Science · Computer Science 2019-03-29 Marcell Vazquez-Chanlatte , Markus N. Rabe , Sanjit A. Seshia

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

Machine Learning · Computer Science 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

There exists a range of different models for estimating and simulating credit risk transitions to optimally manage credit risk portfolios and products. In this chapter we present a Coupled Markov Chain approach to model rating transitions…

Neural and Evolutionary Computing · Computer Science 2014-01-21 Ronald Hochreiter , David Wozabal

In a recent paper in this journal [J. Stat. Mech. (2009) P02037] we proposed a new, physically motivated, distribution function for modeling individual incomes having its roots in the framework of the k-generalized statistical mechanics.…

General Finance · Quantitative Finance 2012-12-07 F. Clementi , M. Gallegati , G. Kaniadakis

In countries with a growing number of elderly and a shrinking workforce, one of which is Russia, it becomes impossible to maintain a solidary pension system and a need to switch to a more stable funded system appears. This paper analyzes…

General Economics · Economics 2024-10-21 Kirill Moiseev

We have simulated demographic changes in the human population using the Penna microscopic model, based on the simple Monte Carlo method. The results of simulations have shown that during a few generations changes in the genetic pool of a…

Statistical Mechanics · Physics 2007-05-23 A. Laszkiewicz , Sz. Szymczak , S. Cebrat

Historically, matrix projection models (MPMs) have been employed to study population dynamics with regard to size, age or structure. To work with continuous traits, in the past decade, integral projection models (IPMs) have been proposed.…

Methodology · Statistics 2013-12-30 Alan E. Gelfand , Souparno Ghosh , James S. Clark

We present a computational model to reconstruct trees of ancestors for animals with sexual reproduction. Through a recursive algorithm combined with a random number generator, it is possible to reproduce the number of ancestors for each…

Populations and Evolution · Quantitative Biology 2019-08-19 C. Jarne , M. Caruso

Increasing effort is put into the development of methods for learning mechanistic models from data. This task entails not only the accurate estimation of parameters but also a suitable model structure. Recent work on the discovery of…

Machine Learning · Computer Science 2024-07-01 Justin N. Kreikemeyer , Philipp Andelfinger , Adelinde M. Uhrmacher

This paper studies a novel stochastic compartmental model that describes the dynamics of trust in society. The population is split into three compartments representing levels of trust in society: trusters, skeptics and doubters. The focus…

Physics and Society · Physics 2024-09-20 Benedikt Valentin Meylahn , Koen De Turck , Michel Mandjes