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Theoretical aspects of ill-posed problems in statistics

https://doi.org/10.1007/bf00046889
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/0471725218openalex-snapshot
Spatial Statistics
inferredcites →https://doi.org/10.1002/9780470316436openalex-snapshot
Linear Statistical Inference and its Applications
inferredcites →https://doi.org/10.1002/cpa.3160190105openalex-snapshot
The radon transform on euclidean space
inferredcites →https://doi.org/10.1002/cpa.3160190207openalex-snapshot
Uniform asymptotic expansions at a caustic
inferredcites →https://doi.org/10.1002/sim.4780080907openalex-snapshot
Covariance analysis in generalized linear measurement error models
inferredcites →https://doi.org/10.1002/sim.4780080914openalex-snapshot
A measurement‐error model for binary and ordinal regression
inferredcites →https://doi.org/10.1007/0-387-22620-6_7openalex-snapshot
An Introduction to Functional Analysis
inferredcites →https://doi.org/10.1007/0-387-34239-7openalex-snapshot
Estimation of Dependences Based on Empirical Data
inferredcites →https://doi.org/10.1007/978-1-4612-6275-6openalex-snapshot
Gaussian Random Processes
inferredcites →https://doi.org/10.1007/978-1-4757-1463-0openalex-snapshot
The Radon Transform
inferredcites →https://doi.org/10.1007/978-3-662-00102-8openalex-snapshot
Abstract Harmonic Analysis
inferredcites →https://doi.org/10.1007/978-94-010-2715-1openalex-snapshot
Approximate Solution of Operator Equations
inferredcites →https://doi.org/10.1016/0016-0032(79)90072-3openalex-snapshot
On the recovery of discrete probability densities from imperfect measurements
inferredcites →https://doi.org/10.1016/0021-9991(88)90085-xopenalex-snapshot
The kernel method for unfolding sphere size distributions
inferredcites →https://doi.org/10.1016/0167-7152(90)90061-bopenalex-snapshot
Rates of convergence of some estimators in a class of deconvolution problems
inferredcites →https://doi.org/10.1016/0378-3758(89)90038-4openalex-snapshot
Strong uniform convergence of density estimators on spheres
inferredcites →https://doi.org/10.1016/b978-0-12-564020-6.50015-3openalex-snapshot
Estimation of a Mixing Distribution
inferredcites →https://doi.org/10.1016/c2013-0-07425-7openalex-snapshot
Statistics of Directional Data
inferredcites →https://doi.org/10.1016/c2013-0-12600-1openalex-snapshot
Elements of Abstract Harmonic Analysis
inferredcites →https://doi.org/10.1017/cbo9780511897474openalex-snapshot
Probabilistic Properties of Deterministic Systems
inferredcites →https://doi.org/10.1017/s0305004100030528openalex-snapshot
The correction of observational data for instrumental band width
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Optimization by Vector Space Methods
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What Does the Spectral Theorem Say?
inferredcites →https://doi.org/10.1080/00949659008811241openalex-snapshot
Simulations and computations of nonparametric density estimates for the deconvolution problem
inferredcites →https://doi.org/10.1080/01621459.1982.10477881openalex-snapshot
Deconvolution of Microfluorometric Histograms withBSplines
inferredcites →https://doi.org/10.1080/01621459.1984.10477100openalex-snapshot
Cross-Validated Spline Methods for the Estimation of Three-Dimensional Tumor Size Distributions from Observations on Two-Dimensional Cross Sections
inferredcites →https://doi.org/10.1080/01621459.1988.10478701openalex-snapshot
Approximations for Regression with Covariate Measurement Error
inferredcites →https://doi.org/10.1080/01621459.1988.10478718openalex-snapshot
Optimal Rates of Convergence for Deconvolving a Density
inferredcites →https://doi.org/10.1080/02331889008802238openalex-snapshot
Deconvolving kernel density estimators
inferredcites →https://doi.org/10.1080/02664768900000017openalex-snapshot
Using spatial models as priors in astronomical image analysis
inferredcites →https://doi.org/10.1080/02664769300000067openalex-snapshot
Using spatial models as priors in astronomical image analysis
inferredcites →https://doi.org/10.1090/chel/376openalex-snapshot
An Introduction to Classical Real Analysis
inferredcites →https://doi.org/10.1090/mmono/048openalex-snapshot
Decomposition of Random Variables and Vectors
inferredcites →https://doi.org/10.1093/biomet/75.3.507openalex-snapshot
The Asymptotic Relative Efficiency of Score Tests in a Generalized Linear Model with Surrogate Covariates
inferredcites →https://doi.org/10.1093/biomet/76.4.751openalex-snapshot
Multiplicative Censoring, Renewal Processes, Deconvolution and Decreasing Density: Nonparametric Estimation
inferredcites →https://doi.org/10.1093/biomet/77.1.139openalex-snapshot
Kernel estimation in Wicksell's corpuscle problem
inferredcites →https://doi.org/10.1093/mnras/73.5.359openalex-snapshot
On a Formula for Correcting Statistics for the Effects of a known Probable Error of Observation
inferredcites →https://doi.org/10.1109/tit.1977.1055802openalex-snapshot
The estimation of a probability density function from measurements corrupted by Poisson noise (Corresp.)
inferredcites →https://doi.org/10.1111/j.1365-2818.1983.tb04708.xopenalex-snapshot
A new method for unfolding sphere size distributions
inferredcites →https://doi.org/10.1111/j.1467-842x.1971.tb01244.xopenalex-snapshot
Estimating the Mixing Distribution by Piece‐Wise Polynomial Arcs
inferredcites →https://doi.org/10.1111/j.2517-6161.1968.tb00743.xopenalex-snapshot
An Estimation Procedure for Mixtures of Distributions
inferredcites →https://doi.org/10.1111/j.2517-6161.1975.tb01550.xopenalex-snapshot
Statistics of Directional Data
inferredcites →https://doi.org/10.1111/j.2517-6161.1990.tb01788.xopenalex-snapshot
A Smoothed Em Approach to Indirect Estimation Problems, with Particular Reference to Stereology and Emission Tomography
inferredcites →https://doi.org/10.1115/1.3424708openalex-snapshot
The Numerical Treatment of Integral Equations
inferredcites →https://doi.org/10.1137/1.9781611970852openalex-snapshot
Analytical and Numerical Methods for Volterra Equations
inferredcites →https://doi.org/10.1214/aoms/1177693331openalex-snapshot
On the Regression Design Problem of Sacks and Ylvisaker
inferredcites →https://doi.org/10.1214/aoms/1177698536openalex-snapshot
Construction of Sequences Estimating the Mixing Distribution
inferredcites →https://doi.org/10.1214/aoms/1177704840openalex-snapshot
An Approach to Time Series Analysis
inferredcites →https://doi.org/10.1214/aoms/1177706375openalex-snapshot
A Consistent Estimator of a Component of a Convolution
inferredcites →https://doi.org/10.1214/aop/1176995845openalex-snapshot
Estimation of a Mixing Distribution Function
inferredcites →https://doi.org/10.1214/aos/1176347017openalex-snapshot
Spherical Regression with Errors in Variables
inferredcites →https://doi.org/10.1214/aos/1176347125openalex-snapshot
Convergence Rates for Regularized Solutions of Integral Equations from Discrete Noisy Data
inferredcites →https://doi.org/10.1214/aos/1176347500openalex-snapshot
Speed of Estimation in Positron Emission Tomography and Related Inverse Problems
inferredcites →https://doi.org/10.1214/aos/1176347627openalex-snapshot
Fourier Methods for Estimating Mixing Densities and Distributions
inferredcites →https://doi.org/10.1214/aos/1176347979openalex-snapshot
Deconvolution-Based Score Tests in Measurement Error Models
inferredcites →https://doi.org/10.1214/aos/1176348248openalex-snapshot
On the Optimal Rates of Convergence for Nonparametric Deconvolution Problems
inferredcites →https://doi.org/10.1214/ss/1177013525openalex-snapshot
A Statistical Perspective on Ill-Posed Inverse Problems
inferredcites →https://doi.org/10.2307/1268039openalex-snapshot
The Algebra of Random Variables
inferredcites →https://doi.org/10.2307/1402244openalex-snapshot
Empirical Bayes Methods
inferredcites →https://doi.org/10.2307/1402932openalex-snapshot
Common Structure of Smoothing Techniques in Statistics
inferredcites →https://doi.org/10.2307/2006360openalex-snapshot
Solutions of Ill-Posed Problems.
inferredcites →https://doi.org/10.2307/2007853openalex-snapshot
Analytical and Numerical Methods for Volterra Equations.
inferredcites →https://doi.org/10.2307/2280985openalex-snapshot
Statistical Astronomy.
inferredcites →https://doi.org/10.2307/2289739openalex-snapshot
Empirical Bayes Methods.
inferredcites →https://doi.org/10.2307/2310495openalex-snapshot
Introduction to Functional Analysis.
inferredcites →https://doi.org/10.2307/2315383openalex-snapshot
Abstract Harmonic Analysis.
inferredcites →https://doi.org/10.2307/2315940openalex-snapshot
Elements of Abstract Harmonic Analysis.
inferredcites →https://doi.org/10.2307/2333680openalex-snapshot
Linear Statistical Inference and its Applications.
inferredcites →https://doi.org/10.2307/2343699openalex-snapshot
New Developments in Survey Sampling.
inferredcites →https://doi.org/10.2307/2529189openalex-snapshot
Statistics of Directional Data.
inferredcites →https://doi.org/10.2307/2975774openalex-snapshot
An Introduction to Classical Real Analysis.
inferredcites →https://doi.org/10.2307/2982567openalex-snapshot
Gaussian Random Processes.
inferredcites →https://doi.org/10.2307/2988246openalex-snapshot
Estimation of Dependences Based on Empirical Data.
inferredcites →https://doi.org/10.2307/3314852openalex-snapshot
Consistent deconvolution in density estimation
inferredcites →https://doi.org/10.2307/3315482openalex-snapshot
A consistent nonparametric density estimator for the deconvolution problem
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations
inferredcites →https://doi.org/10.5860/choice.45-4442openalex-snapshot
Integral equations and their applications

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Estimation of the Expected Discounted Penalty Function for Levy Insurance Risks
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Regularized Inversion of Noisy Laplace Transforms
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Over—Regularization of Ill—Posed Problems
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Uniform Deconvolution: Nonparametric Maximum Likelihood and Inverse Estimation
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Regularized Deconvolution on the Circle and the Sphere
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Pointwise convergence in probability of general smoothing splines
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Rates of convergence for regression with the graph poly-Laplacian
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Asymptotic minimax rates for abstract linear estimators
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Inverse problems with non-compact operators
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Using wavelet methods to solve noisy Abel-type equations with discontinuous inputs
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A unified treatment of direct and indirect estimation of a probability density and its derivatives
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Some comments on Wicksell's problem
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Chapter 77 Linear Inverse Problems in Structural Econometrics Estimation Based on Spectral Decomposition and Regularization
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Abstract Inverse Estimation with Application to Deconvolution on Locally Compact Abelian Groups
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Methods for Density Estimation in Thick-Slice Versions of Wicksell's Problem
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Statistical Inverse Estimation in Hilbert Scales
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Tikhonov Regularization for Finitely and Infinitely Smoothing Operators
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Large-sample study of the kernel density estimators under multiplicative censoring
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Identification and estimation of nonparametric panel data regressions with measurement error
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Estimation of the expected discounted penalty function for Lévy insurance risks
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Asymptotically Normal Estimators of the Ruin Probability for Lévy Insurance Surplus from Discrete Samples
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Pointwise Convergence in Probability of General Smoothing Splines
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PDE-Inspired Algorithms for Semi-Supervised Learning on Point Clouds
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