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This article shows how to specify and construct a discrete, stochastic, continuous-time model specifically for ecological systems. The model is more broad than typical chemical kinetics models in two ways. First, using time-dependent hazard…

种群与进化 · 定量生物学 2015-06-30 Andrew J. Dolgert

In this work we handle with categorical (ordinal) variables and we focus on the (in)dependence relationship under the marginal, conditional and context-specific perspective. If the first two are well known, the last one concerns…

统计方法学 · 统计学 2017-12-25 Federica Nicolussi , Manuela Cazzaro

Statistical models are used to produce estimates of demographic and global health indicators in populations with limited data. Such models integrate multiple data sources to produce estimates and forecasts with uncertainty based on model…

统计方法学 · 统计学 2024-12-02 Leontine Alkema , Herbert Susmann , Evan Ray

The first motivation of this paper is to study stationarity and ergodic properties for a general class of time series models defined conditional on an exogenous covariates process. The dynamic of these models is given by an autoregressive…

统计理论 · 数学 2020-07-16 Paul Doukhan , Michael H. Neumann , Lionel Truquet

We compare two approaches to the predictive modeling of dynamical systems from partial observations at discrete times. The first is continuous in time, where one uses data to infer a model in the form of stochastic differential equations,…

数值分析 · 数学 2017-02-08 Fei Lu , Kevin K. Lin , Alexandre J. Chorin

Ordinal categorical data are routinely encountered in many practical applications. When the primary goal is to construct a regression model for ordinal outcomes, cumulative link models represent one of the most popular choices to link the…

统计方法学 · 统计学 2026-03-13 Emanuele Aliverti

This article describes an R package bqror that estimates Bayesian quantile regression for ordinal models introduced in Rahman (2016). The paper classifies ordinal models into two types and offers computationally efficient, yet simple,…

计量经济学 · 经济学 2023-05-30 Prajual Maheshwari , Mohammad Arshad Rahman

Causal discovery for purely observational, categorical data is a long-standing challenging problem. Unlike continuous data, the vast majority of existing methods for categorical data focus on inferring the Markov equivalence class only,…

统计方法学 · 统计学 2022-12-20 Yang Ni , Bani Mallick

We present a bivariate vector valued discrete autoregressive model of order $1$ (BDAR($1$)) for discrete time series. The BDAR($1$) model assumes that each time series follows its own univariate DAR($1$) model with dependent random…

统计方法学 · 统计学 2025-10-08 Anna Nalpantidi , Dimitris Karlis

One form of data collected in ecology is phenological, describing the timing of life stages. It can be tempting to analyze such data using a continuous distribution or to model individual transitions via probit/logit models. Such…

统计方法学 · 统计学 2025-08-12 David L Miller

A new modeling framework for bipartite social networks arising from a sequence of partially time-ordered relational events is proposed. We directly model the joint distribution of the binary variables indicating if each single actor is…

统计方法学 · 统计学 2018-10-23 Francesco Bartolucci , Antonietta Mira , Stefano Peluso

We assume that we have multiple ordinal time series and we would like to specify their joint distribution. In general it is difficult to create multivariate distribution that can be easily used to jointly model ordinal variables and the…

统计方法学 · 统计学 2026-02-16 Anna Nalpantidi , Dimitris Karlis

Most classification methods provide either a prediction of class membership or an assessment of class membership probability. In the case of two-group classification the predicted probability can be described as "risk" of belonging to a…

机器学习 · 统计学 2011-10-28 Yizhar Toren

Latent Markov (LM) models represent an important class of models for the analysis of longitudinal data (Bartolucci et. al., 2013), especially when response variables are categorical. These models have a great potential of application for…

统计计算 · 统计学 2015-01-20 Francesco Bartolucci , Alessio Farcomeni , Silvia Pandolfi , Fulvia Pennoni

We study the problem of stationarity and ergodicity for autoregressive multinomial logistic time series models which possibly include a latent process and are defined by a GARCH-type recursive equation. We improve considerably upon the…

统计理论 · 数学 2018-10-02 Konstantinos Fokianos , Lionel Truquet

The use of observational time series data to assess the impact of multi-time point interventions is becoming increasingly common as more health and activity data are collected and digitized via wearables, social media, and electronic health…

统计方法学 · 统计学 2020-12-01 Roy Adams , Suchi Saria , Michael Rosenblum

We develop two models for the temporal evolution of extreme events of multivariate $k$th order Markov processes. The foundation of our methodology lies in the conditional extremes model of Heffernan & Tawn (2004), and it naturally extends…

统计方法学 · 统计学 2023-03-01 Stan Tendijck , Philip Jonathan , David Randell , Jonathan Tawn

A functional (lagged) time series regression model involves the regression of scalar response time series on a time series of regressors that consists of a sequence of random functions. In practice, the underlying regressor curve time…

统计方法学 · 统计学 2020-07-28 Tomáš Rubín , Victor M. Panaretos

We consider the problem of model building for rare events prediction in longitudinal follow-up studies. In this paper, we compare several resampling methods to improve standard regression models on a real life example. We evaluate the…

统计方法学 · 统计学 2023-06-21 Pierre Druilhet , Mathieu Berthe , Stéphanie Léger

This paper presents a technique for reduced-order Markov modeling for compact representation of time-series data. In this work, symbolic dynamics-based tools have been used to infer an approximate generative Markov model. The time-series…

机器学习 · 统计学 2017-09-28 Devesh K Jha , Nurali Virani , Jan Reimann , Abhishek Srivastav , Asok Ray