Fisher Information Matrix for Single Molecules with Stochastic Trajectories

DOI10.1137/19M1242562zbMath1441.92024arXiv1808.02195OpenAlexW3101776396MaRDI QIDQ5108473

Raimund J. Ober, Milad R. Vahid, Bernard Hanzon

Publication date: 4 May 2020

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02195

zbMATH Keywords

stochastic differential equationmaximum likelihood estimationFisher information matrixCramér-Rao lower boundobject trackingsingle molecule microscopy

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Biomedical imaging and signal processing (92C55) Cell biology (92C37)

Related Items (1)

Limits of Accuracy for Parameter Estimation and Localization in Single-Molecule Microscopy via Sequential Monte Carlo Methods

Uses Software

• System Identification Toolbox

Cites Work

• Unnamed Item
• On particle methods for parameter estimation in state-space models
• System identification of nonlinear state-space models
• A stochastic analysis of performance limits for optical microscopes
• Theory and applications of stochastic processes. An analytical approach
• The Fokker-Planck equation. Methods of solutions and applications.
• Stochastic processes and filtering theory
• Limit of the Accuracy of Parameter Estimation for Moving Single Molecules Imaged by Fluorescence Microscopy
• Bayesian Tracking and Parameter Learning for Non-Linear Multiple Target Tracking Models
• Principles of Optics

This page was built for publication: Fisher Information Matrix for Single Molecules with Stochastic Trajectories