Theory of Statistical Estimation

No abstract is available for this paper.

• Publication year

  1925

• Venue

  Mathematical Proceedings of the Cambridge Philosophical Society

• Publication date

  1925-07-01

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1017/S0305004100009580
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• A mathematical Examination of the Methods of determining the Accuracy of Observation by the Mean Error, and by the Mean Square Error

  1920cited by this paper
• On the Mathematical Foundations of Theoretical Statistics

  year unknowncited by this paper
• 034: The Conditions Under Which x2 Measures the Discrepancy Between Observation and Hypothesis.

  year unknowncited by this paper

• A survey on general and optical ISAC: Fundamental limits, design approaches, and future directions

  2026cites this paper
• Deformation parameter's effects on quantum information measures

  2026cites this paper
• Gravitational Decoherence Estimation in Optomechanical Systems

  2026cites this paper
• Beyond the Unit Hypersphere: Embedding Magnitude in Contrastive Learning

  2026influential citation
• The Typicality Principle and Its Implications for Statistics and Data Science

  2026cites this paper
• Phase-space complexity of discrete-variable quantum states and operations

  2026cites this paper
• Quantum metrology with partially accessible chaotic sensors

  2026cites this paper
• Fiducial inference framework for restricted parameter spaces: poisson mean with background

  2026cites this paper
• Predicting the Redox Potentials and Hammett Parameters of Quinone Derivatives with the Information-Theoretic Approach

  2026cites this paper
• Topographical differences during motion processing in autistic and dyslexic children

  2026cites this paper
• Information-Theoretic Perspectives on Chemical Problems: Recent Developments and Applications

  2026cites this paper
• Thermodynamic Isomorphism of Transformers: A Lagrangian Approach to Attention Dynamics

  2026cites this paper
• Fisher's fundamental theorem and regression in causal analysis

  2026cites this paper
• Robust Quantum Metrology via Auxiliary Qubits and Detuning in Lorentzian Environments

  2026cites this paper
• HDSense: An efficient method for ranking observable sensitivity

  2026cites this paper
• Information-Theoretic and Conceptual Density Functional Theory Insights on Frustration in Molecular Clusters.

  2026cites this paper
• Analyzing density-driven errors: Principles and pitfalls.

  2026cites this paper
• Quantum Cram\'{e}r-Rao bound on quantum metric as a multi-observable uncertainty relation

  2026cites this paper
• Quantum information and thermodynamic features in position-dependent mass semiconductor heterostructures

  2026cites this paper
• An Open-Source Pseudo-Spectral Solver for Idealized Korteweg-de Vries Soliton Simulations

  2026cites this paper
• Towards Spatio-Temporal Extrapolation of Phase-Field Simulations with Convolution-Only Neural Networks

  2026cites this paper
• On admissibility in post-hoc hypothesis testing

  2026cites this paper
• Federated Causal Discovery Across Heterogeneous Datasets under Latent Confounding

  2026cites this paper
• Generalized Score Matching: Bridging $f$-Divergence and Statistical Estimation Under Correlated Noise

  2025cites this paper
• Adaptive Unimodal Regulation for Balanced Multimodal Information Acquisition

  2025cites this paper
• A Bayesian method for estimation of the entropy in the presence of outliers based on the contaminated Pareto model

  2025cites this paper
• Enriched truncated exponentiated generalized family of distributions with application to heavy-tailed data

  2025influential citation
• Exploring complexity measures for analysis of solar wind structures and streams

  2025influential citation
• Determination of probability density, position and momentum uncertainties, and information theoretic measures using a class of inversely quadratic Yukawa potential

  2025cites this paper
• Mathematical proof of the Fisher-Escolà Q statistical distribution in quantum consciousness modeling

  2025influential citation
• Rethinking Generalized BCIs: Benchmarking 340,000+ Unique Algorithmic Configurations for EEG Mental Command Decoding

  2025cites this paper
• Dynamic Evolution of Residents' Garbage Sorting Behavior Under Policy-Driven Change: Evidence from Multi-Wave Data Deduction in Shanghai

  2025cites this paper
• The short-term stability and reliability of daily estimates of posttraumatic stress disorder symptoms.

  2025cites this paper
• Glacier area variation in Uttarakhand Himalaya: Investigating trends and influencing factors

  2025influential citation
• Can the FCI energies/properties be predicted with HF/DFT densities?

  2025cites this paper
• Different approaches for estimating the shrinkage factor in ridge regression BLUP for genomic selection

  2025cites this paper
• Minimization of Functions on Dually Flat Spaces Using Geodesic Descent Based on Dual Connections

  2025cites this paper
• Meta-Statistical Learning: Supervised Learning of Statistical Estimators

  2025cites this paper
• Generating functions for quantum metric, Berry curvature, and quantum Fisher information matrix

  2025cites this paper
• Information-Theoretic Analysis of Selected Water Force Fields: From Molecular Clusters to Bulk Properties

  2025cites this paper
• Construction of Fisher Information Matrix for Multiparametric Problem in Super-Resolution Optical Fluctuation Imaging

  2025cites this paper
• Small Samples' Permille Cramér-Von Mises Statistic Critical Values for Continuous Distributions as Functions of Sample Size

  2025cites this paper
• How does cultural values influence public willingness to protect wetlands? - Take Tibetan cultural values as an example.

  2025cites this paper
• Dual Control Reference Generation for Optimal Pick-and-Place Execution under Payload Uncertainty

  2025cites this paper
• Optimal Information Combining for Multi-Agent Systems Using Adaptive Bias Learning

  2025cites this paper
• Harnessing Floquet dynamics for selective metrology in few-qubit systems

  2025cites this paper
• Kinetic MUNANA assay reveals functionally relevant antibody epitopes on Influenza A virus neuraminidase

  2025cites this paper
• Quantum Fisher Information Dynamics in Squeezed Reservoirs: Mathematical Insights and Quantum Applications

  2025cites this paper
• On a lower bound for Fisher information by moment-generating function

  2025cites this paper
• Modeling of lifetime scenarios with non-monotonic failure rates

  2025cites this paper
• Excessive precision compromises accuracy even with unlimited resources due to the trade-off in quantum metrology

  2025cites this paper
• Sparser, Better, Faster, Stronger: Sparsity Detection for Efficient Automatic Differentiation

  2025cites this paper
• Sampling Models for Selective Inference

  2025cites this paper
• US sectoral stock market volatility and geopolitical risk categories

  2025cites this paper
• Evidence of quantum-entangled higher states of consciousness

  2025cites this paper
• RELIABILITY ASSESSMENT OF ROBUSTNESS FOR REINFORCED CONCRETE MOMENT RESISTING FRAMES

  2025cites this paper
• Single-photon-added coherent state-based postselected weak measurement

  2025cites this paper
• Virtual purification complements quantum error correction in quantum metrology

  2025cites this paper
• Using Bayesian priors to overcome non-identifiablility issues in Hidden Markov models

  2025cites this paper
• Shannon and Fisher Entropy for a New Class of Single Hyperbolic Potentials in Fractional Schrödinger Equation

  2025cites this paper
• Kicking Quantum Fisher Information out of Equilibrium

  2025cites this paper
• Simultaneous and individual parameter estimation procedures for a two-twisting axis system

  2025cites this paper
• Quantum Metrology of Spin Sensing with Free Space Electrons

  2025cites this paper
• Quantum information measurements of the exact solution of the Schrödinger equation for a q-deformed Morse potential

  2025cites this paper
• CNN-Based Interpretable Feature Extraction Methods Considering Pairwise Interactions

  2025cites this paper
• Application of CDFT and IT-based descriptors in analyzing structure, properties, reactivity and toxicity

  2025cites this paper
• Epistemic Signatures of Fisher Information in Finite Fermions Systems

  2025cites this paper
• Some recent advances of information-theoretic approach in density functional theory

  2025cites this paper
• Interradical motion can push magnetosensing precision towards quantum limits

  2025cites this paper
• Fisher Information Density Functional Theory

  2025cites this paper
• Heisenberg-Limited Quantum Hamiltonian Learning via Randomly Spread Product-States

  2025cites this paper
• TDSNNs: Competitive Topographic Deep Spiking Neural Networks for Visual Cortex Modeling

  2025cites this paper
• Truncated power Chris–Jerry distribution: Classical estimation methods and modeling to survival data

  2025cites this paper
• Dynamics of quantum Fisher and Wigner-Yanase skew information following a noisy quench

  2025cites this paper
• The Classification Limit of Detection: Estimating Sample‐Level Classification Uncertainty in Spectroscopy Using Monte Carlo Error Propagation of Spectral Noise

  2025cites this paper
• RCP-Merging: Merging Long Chain-of-Thought Models with Domain-Specific Models by Considering Reasoning Capability as Prior

  2025influential citation
• Variance-Based Uncertainty Relations: A Concise Review of Inequalities Discovered Since 1927

  2025cites this paper
• From EM to Newton: fast and reliable computation for Bayesian FFT modal identification

  2025cites this paper
• Quantum Mechanical Analysis of Cesium Dimer, Titanium Hydride, and Titanium Carbide: Vibrational Spectra, Expectation Values, and Information-Theoretic Measures

  2025cites this paper
• Nonlinear Fisher information, corresponding functional inequalities and applications

  2025cites this paper
• Fisher entropic Fokker-Planck model of monatomic rarefied gases

  2025cites this paper
• SIMPL: Scalable and hassle-free optimisation of neural representations from behaviour

  2025cites this paper
• The Cramér-Von Mises Statistic for Continuous Distributions: A Monte Carlo Study for Calculating Its Associated Probability

  2025cites this paper
• Modeling to medical and economic data using: The transmuted power unit inverse Lindley distribution

  2025cites this paper
• Information-Theoretic Analysis of a Mass-Dependent Minimal Length Quantum Harmonic Oscillator

  2025cites this paper
• Optimal scheme for distributed quantum metrology

  2025cites this paper
• Phase-space Fisher information and Rényi entropy in the thermodynamic scheme of density functional theory

  2025cites this paper
• Statistical phase-space complexity of continuous-variable quantum channels

  2025cites this paper
• Fisher discord as a quantifier of quantum complexity

  2025cites this paper
• The Price Equation Reveals a Universal Force–Metric–Bias Law of Algorithmic Learning and Natural Selection

  2025cites this paper
• Integrating triple attention convolutional network with multi‐objective optimization for excavation‐induced deformation prediction

  2025cites this paper
• An Information-Theoretic Review of SAR Speckle Filtering Algorithms

  2025cites this paper
• 量子磁力仪的能量分辨率极限（特邀）

  2025cites this paper
• Leaf hyperspectral reflectance detects pre‐visual stress to Fusarium wilt in strawberries

  2025cites this paper
• Estimation-Aware Trajectory Optimization with Set-Valued Measurement Uncertainties

  2025cites this paper
• Task Arithmetic in Trust Region: A Training-Free Model Merging Approach to Navigate Knowledge Conflicts

  2025cites this paper
• Towards Balanced Multi-Modal Learning in 3D Human Pose Estimation

  2025cites this paper
• Reliability analysis of wind turbine gearboxes: past, progress and future prospects

  2025cites this paper
• GANQ: GPU-Adaptive Non-Uniform Quantization for Large Language Models

  2025cites this paper
• Maximum likelihood inference for multivariate delay differential equation models

  2025cites this paper