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In this work we review the application of the theory of Gaussian processes to the modeling of noise in pulsar-timing data analysis, and we derive various useful and optimized representations for the likelihood expressions that are needed in…

广义相对论与量子宇宙学 · 物理学 2014-11-19 Rutger van Haasteren , Michele Vallisneri

Here we present a Bayesian method of including discrete measurements of dispersion measure due to the interstellar medium in the direction of a pulsar as prior information in the analysis of that pulsar. We use a simple simulation to show…

天体物理仪器与方法 · 物理学 2013-12-10 Lindley Lentati , Paul Alexander , Michael P. Hobson

Context. Gamma-ray bursts can be located via arrival time signal triangulation using gamma-ray detectors in orbit throughout the solar system. The classical approach based on cross-correlations of binned light curves ignores the Poisson…

天体物理仪器与方法 · 物理学 2021-10-06 J. Michael Burgess , Ewan Cameron , Dmitry Svinkin , Jochen Greiner

Over the past 10 years Bayesian methods have rapidly grown more popular as several computationally intensive statistical algorithms have become feasible with increased computer power. In this paper, we begin with a general description of…

天体物理学 · 物理学 2016-02-19 David A. van Dyk , Alanna Connors , Vinay L. Kashyap , Aneta Siemiginowska

The extremely regular, periodic radio emission from millisecond pulsars makes them useful tools for studying neutron star astrophysics, general relativity, and low-frequency gravitational waves. These studies require that the observed pulse…

天体物理仪器与方法 · 物理学 2015-06-17 Sarah J. Vigeland , Michele Vallisneri

Many real world problems exhibit patterns that have periodic behavior. For example, in astrophysics, periodic variable stars play a pivotal role in understanding our universe. An important step when analyzing data from such processes is the…

机器学习 · 计算机科学 2012-08-20 Yuyang Wang , Roni Khardon , Pavlos Protopapas

I describe a new time-domain algorithm for detecting localized structures (bursts), revealing pulse shapes, and generally characterizing intensity variations. The input is raw counting data, in any of three forms: time-tagged photon events…

天体物理学 · 物理学 2015-06-24 Jeffrey D. Scargle

Recurrent event data are common in clinical studies when participants are followed longitudinally, and are often subject to a terminal event. With the increasing popularity of large pragmatic trials with a heterogeneous source population,…

统计方法学 · 统计学 2022-12-06 Xinyuan Tian , Maria Ciarleglio , Jiachen Cai , Erich Greene , Denise Esserman , Fan Li , Yize Zhao

We develop a semiparametric Bayesian approach for estimating the mean response in a missing data model with binary outcomes and a nonparametrically modelled propensity score. Equivalently we estimate the causal effect of a treatment,…

统计理论 · 数学 2020-09-23 Kolyan Ray , Aad van der Vaart

Many astrophysical phenomena are time-varying, in the sense that their intensity, energy spectrum, and/or the spatial distribution of the emission suddenly change. This paper develops a method for modeling a time series of images. Under the…

天体物理仪器与方法 · 物理学 2021-03-24 Cong Xu , Hans Moritz Günther , Vinay L. Kashyap , Thomas C. M. Lee , Andreas Zezas

A variety of statistical methods for understanding variability in the time domain for low count rate X-ray and gamma-ray sources are explored. Variability can be detected using nonparametric (Anderson-Darling and overdispersion tests) and…

天体物理仪器与方法 · 物理学 2023-05-24 Eric D. Feigelson , Vinay L. Kashyap , Aneta Siemiginowska

A Bayesian approach is developed to analyze change points in multivariate time series and space-time data. The methodology is used to assess the impact of extended inundation on the ecosystem of the Gulf Plains bioregion in northern…

统计方法学 · 统计学 2013-06-21 Chris Strickland , Robert Burdett , Robert Denham , Robert Kohn , Kerrie Mengersen

We propose a Bayesian semiparametric approach for registration of multiple point processes. Our approach entails modelling the mean measures of the phase-varying point processes with a Bernstein-Dirichlet prior, which induces a prior on the…

统计方法学 · 统计学 2020-12-14 Bastian Galasso , Yoav Zemel , Miguel de Carvalho

We propose a framework for Bayesian non-parametric estimation of the rate at which new infections occur assuming that the epidemic is partially observed. The developed methodology relies on modelling the rate at which new infections occur…

统计方法学 · 统计学 2014-12-16 Edward S. Knock , Theodore Kypraios

Non-Gaussian observations such as binary responses are common in some computer experiments. Motivated by the analysis of a class of cell adhesion experiments, we introduce a generalized Gaussian process model for binary responses, which…

统计方法学 · 统计学 2018-09-26 Chih-Li Sung , Ying Hung , William Rittase , Cheng Zhu , C. F. Jeff Wu

This invited paper proposes and discusses several Bayesian attempts at nonparametric and semiparametric density estimation. The main categories of these ideas are as follows: 1) Build a nonparametric prior around a given parametric model.…

统计理论 · 数学 2026-04-23 Nils Lid Hjort

We present a robust approach to incorporating models for the time-variable broadening of the pulse profile due to scattering in the ionized interstellar medium into profile-domain pulsar timing analysis. We use this approach to…

天体物理仪器与方法 · 物理学 2017-04-12 L. Lentati , M. Kerr , S. Dai , R. M. Shannon , G. Hobbs , S. Oslowski

Stationary points embedded in the derivatives are often critical for a model to be interpretable and may be considered as key features of interest in many applications. We propose a semiparametric Bayesian model to efficiently infer the…

统计方法学 · 统计学 2024-06-11 Cheng-Han Yu , Meng Li , Colin Noe , Simon Fischer-Baum , Marina Vannucci

The detection and analysis of events within massive collections of time-series has become an extremely important task for time-domain astronomy. In particular, many scientific investigations (e.g. the analysis of microlensing and other…

应用统计 · 统计学 2013-01-22 Alexander W Blocker , Pavlos Protopapas

An unbinned statistical test on cluster-like deviations from Poisson processes for point process data is introduced, presented in the context of time variability analysis of astrophysical sources in count rate experiments. The measure of…

天体物理学 · 物理学 2007-05-23 Juergen Prahl
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