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We consider parametric estimation for ergodic diffusion processes with noisy sampled data based on the hybrid method, that is, the multi-step estimation with the initial Bayes type estimators. In order to select proper initial values for…

Statistics Theory · Mathematics 2018-12-19 Yusuke Kaino , Shogo H. Nakakita , Masayuki Uchida

The fundamental problem of line spectral estimation (LSE) using the expectation propagation (EP) method is studied. Previous approaches estimate the model order sequentially, limiting their practical utility in scenarios with large…

Information Theory · Computer Science 2025-02-24 Jiang Zhu , Xupeng Lei , Mihai Alin-Badiu , Fengzhong Qu

Power System State Estimation (PSSE) has been a research area of interest for power engineers for a long period of time. Due to the intermittent nature of renewable energy sources, which are applied in the power network more than before,…

Systems and Control · Electrical Eng. & Systems 2021-01-08 Sajjad Asefi , Sergei Parsegov , Elena Gryazina

We develop a theory for the susceptible-infected-susceptible (SIS) epidemic model on networks that incorporate both network structure and dynamic correlations. This theory can account for the multistage onset of the epidemic phase in…

Physics and Society · Physics 2021-04-07 Chao-Ran Cai , Zhi-Xi Wu , Petter Holme

We research adaptive maximum likelihood-type estimation for an ergodic diffusion process where the observation is contaminated by noise. This methodology leads to the asymptotic independence of the estimators for the variance of observation…

Statistics Theory · Mathematics 2018-05-30 Shogo H. Nakakita , Masayuki Uchida

In observational studies, the recorded treatment assignment is not purely random, but it is influenced by external factors such as patient characteristics, reimbursement policies, and existing guidelines. Therefore, the treatment effect can…

Methodology · Statistics 2024-09-02 Sara Poletto , Enrico Longato , Erica Tavazzi , Martina Vettoretti

In numerous instances, the generalized exponential distribution can be used as an alternative to the most widely used non-regular family of distributions: Weibull, gamma, lognormal with three-parameters when analyzing lifetime or any skewed…

Methodology · Statistics 2026-03-03 Kiran Prajapat , Sharmishtha Mitra , Debasis Kundu

This paper presents a study on the influence of welding residual stresses (RS) on fatigue crack propagation rate (FCPR) in mode I. The objective of this work is to develop a novel methodology that allows a variation of a RS field in the…

Applied Physics · Physics 2017-09-21 P. -A. Descheenes , J. Lanteigne , Y. Verreman , D. Paquet , J. -B. Levesque , M. Brochu

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

Artificial Intelligence · Computer Science 2015-03-13 Yoshiharu Maeno

A one-shot device is a unit that operates only once, after which it is either destroyed or needs to be rebuilt. For this type of device, the operational status can only be assessed at a specific inspection time, determining whether failure…

Statistics Theory · Mathematics 2025-03-03 María González-Calderón , María Jaenada , Leandro Pardo

In this paper we introduce a statistical inference framework for estimating the contagion source from a partially observed contagion spreading process on an arbitrary network structure. The framework is based on a maximum likelihood…

Social and Information Networks · Computer Science 2015-03-12 Nino Antulov-Fantulin , Alen Lancic , Hrvoje Stefancic , Mile Sikic , Tomislav Smuc

In this paper a new decision theoretic sampling plan (DSP) is proposed for Type-I censored exponential distribution. The proposed DSP is based on a new estimator of the expected lifetime of an exponential distribution which always exists,…

Statistics Theory · Mathematics 2018-06-18 Deepak Prajapati , Sharmistha Mitra , Debasis Kundu

Accurate and reliable forecasting of epidemic incidences is critical for public health preparedness, yet it remains a challenging task due to complex nonlinear temporal dependencies and heterogeneous spatial interactions. Often, point…

Machine Learning · Statistics 2026-03-10 Rajdeep Pathak , Tanujit Chakraborty

Multivariate extreme value statistical analysis is concerned with observations on several variables which are thought to possess some degree of tail-dependence. In areas such as the modeling of financial and insurance risks, or as the…

Applications · Statistics 2014-12-31 Alexis Bienvenüe , Christian Y. Robert

Researchers have widely used accelerated life tests to determine an optimal inspection plan for lot acceptance. All such plans are proposed by assuming a known relationship between the lifetime characteristic(s) and the accelerating stress…

Computation · Statistics 2026-02-06 Sandip Barui , Shovan Chowdhury

The study proposes a new decision theoretic sampling plan (DSP) for Type-I and Type-I hybrid censored samples when the lifetimes of individual items are exponentially distributed with a scale parameter. The DSP is based on an estimator of…

Methodology · Statistics 2018-07-03 Deepak Prajapati , Sharmistha Mitra , Debasis Kundu

Stress-strength models are widely used to assess the reliability of systems under uncertain conditions. While most studies assume independence between stress and strength variables, such an assumption may be unrealistic in many practical…

Methodology · Statistics 2026-04-15 Fatih Kızılaslan

In this paper, we investigate the classical and Bayesian estimation of unknown parameters of the Gumbel type-II distribution based on adaptive type-II progressive hybrid censored sample (AT-II PHCS). The maximum likelihood estimates (MLEs)…

Methodology · Statistics 2021-03-17 Subhankar Dutta , Suchandan Kayal

Bayesian optimal experimental design provides a principled framework for selecting experimental settings that maximize obtained information. In this work, we focus on estimating the expected information gain in the setting where the…

Machine Learning · Statistics 2025-10-02 Chuntao Chen , Tapio Helin , Nuutti Hyvönen , Yuya Suzuki

Robust global/goal-oriented error estimation is used nowadays to control the approximate finite element solutions obtained from simulation. In the context of Computational Mechanics, the construction of admissible stress fields (\ie stress…

Numerical Analysis · Mathematics 2017-04-25 Florent Pled , Ludovic Chamoin , Pierre Ladevèze