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The Inverse First-passage Time Problem as Hydrodynamic Limit of a Particle System
We study a particle system without branching but with selection at timepoints depending on a given probability distribution on the positive real...
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Solving an Inverse Problem for Time-Series-Valued Computer Simulators via Multiple Contour Estimation
Computer simulators are often used as a substitute of complex real-life phenomena, which are either expensive or infeasible to experiment with. This...
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An inverse Laplace transform oracle estimator for the normal means problem
In an effort to estimate the number of true nulls in large scale multiplicity problems (the normal means problem), we generalize the current Fourier...
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Minimax Optimal Estimator in a Stochastic Inverse Problem for Exponential Radon Transform
In this article, we consider the problem of inverting the exponential Radon transform of a function in the presence of noise. We propose a kernel...
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Adaptive slicing for functional slice inverse regression
In the paper, we propose a functional dimension reduction method for functional predictors and a scalar response. In the past study, the most popular...
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Bayesian Linear Inverse Problems in Regularity Scales with Discrete Observations
We obtain rates of contraction of posterior distributions in inverse problems with discrete observations. In a general setting of smoothness scales...
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Estimating mixed-memberships using the symmetric laplacian inverse matrix
Mixed membership community detection is a challenging problem. In this paper, to detect mixed memberships, we propose a new method Mixed-SLIM which...
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Distributional Approximation for General Curie–Weiss Models with Size-dependent Inverse Temperatures
The Curie–Weiss model is a statistical physics model that describes the behavior of a system of particles with mutual interactions. In this paper, we...
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Solving linear Bayesian inverse problems using a fractional total variation-Gaussian (FTG) prior and transport map
The Bayesian inference is widely used in many scientific and engineering problems, especially in the linear inverse problems in infinite-dimensional...
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Predictive inference of dual generalized order statistics from the inverse Weibull distribution
In this paper, some predictive results of dual generalized order statistics (DGOSs) from the inverse Weibull distribution are obtained. For this...
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Multivariate mixed Poisson Generalized Inverse Gaussian INAR(1) regression
In this paper, we present a novel family of multivariate mixed Poisson-Generalized Inverse Gaussian INAR(1), MMPGIG-INAR(1), regression models for...
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Optimum test planning for heterogeneous inverse Gaussian processes
The heterogeneous inverse Gaussian (IG) process is one of the most popular and most considered degradation models for highly reliable products. One...
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Bayesian and Likelihood Estimation in Two Inverse Pareto Populations Under Joint Progressive Censoring
In the era of growing technologies and demand for more reliable products, a comparative study of products from various manufacturing units has become...
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On the role of Volterra integral equations in self-consistent, product-limit, inverse probability of censoring weighted, and redistribution-to-the-right estimators for the survival function
This paper reconsiders several results of historical and current importance to nonparametric estimation of the survival distribution for failure in...
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A unified precision matrix estimation framework via sparse column-wise inverse operator under weak sparsity
In this paper, we estimate the high-dimensional precision matrix under the weak sparsity condition where many entries are nearly zero. We revisit the...
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Three Distributions in the Extended Occupancy Problem
The classical and extended occupancy distributions are useful for examining the number of occupied bins in problems involving random allocation of...
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Infinite Mixtures of Multivariate Normal-Inverse Gaussian Distributions for Clustering of Skewed Data
Mixtures of multivariate normal inverse Gaussian (MNIG) distributions can be used to cluster data that exhibit features such as skewness and heavy...
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Generalized parallel tempering on Bayesian inverse problems
In the current work we present two generalizations of the Parallel Tempering algorithm in the context of discrete-time Markov chain Monte Carlo...
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A Generalised Matching Distribution for the Problem of Coincidences
This paper examines the classical matching distribution arising in the “problem of coincidences”. We generalise the classical matching distribution...
