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Recent Advances in Nonlinear Experimental Design

Data up to Jan 2025

Published1989
Citations251
References103

Total Citations Per Year

Abstract

References (103)

Generalized Linear Models

2005 • 21,170 citations

The Design of Experiments

1935 • 4,362 citations

Journal of the American Statistical Association

1989 • 3,796 citations

On the mathematical foundations of theoretical statistics

1922 • 3,786 citations

Journal of the Royal Statistical Society.

1923 • 3,533 citations

Theory of optimal experiments

1972 • 2,133 citations

Generalized Linear Models

1983 • 1,923 citations

Theory of Optimal Experiments.

1972 • 1,916 citations

Dynamic System Identification - Experiment Design and Data Analysis

1977 • 1,425 citations

Asymptotic Properties of Non-Linear Least Squares Estimators

1969 • 1,334 citations

A Method for Obtaining and Analyzing Sensitivity Data

1948 • 1,122 citations

DESIGN OF EXPERIMENTS IN NON-LINEAR SITUATIONS

1959 • 692 citations

Least Squares Estimates in Stochastic Regression Models with Applications to Identification and Control of Dynamic Systems

1982 • 636 citations

Locally Optimal Designs for Estimating Parameters

1953 • 632 citations

Optimal Design

1980 • 538 citations

Relative Curvature Measures of Nonlinearity

1980 • 500 citations

Generalized Simulated Annealing for Function Optimization

1986 • 496 citations

Optimal Bayesian design applied to logistic regression experiments

1989 • 455 citations

Confidence Regions in Non-Linear Estimation

1960 • 398 citations

Experimental Design: Review and Comment

1984 • 295 citations

Generalized Simulated Annealing for Function Optimization

1986 • 287 citations

Some General Points in the Theory of Optimal Experimental Design

1973 • 282 citations

D-Optimality for Regression Designs: A Review

1975 • 279 citations

The Use of a Canonical Form in the Construction of Locally Optimal Designs for Non-Linear Problems

1992 • 251 citations

Experimental Design for Binary Data

1983 • 239 citations

Results in the Theory and Construction of D-Optimum Experimental Designs

1972 • 213 citations

Efficient Sequential Designs with Binary Data

1985 • 206 citations

Optimal Experiment Design for Dynamic System Identification

1979 • 173 citations

Experimental design in a class of models

1974 • 165 citations

Journal of Polymer Science

1946 • 157 citations

A Survey of Statistical Design and Linear Models

1975 • 156 citations

Design of experiments for parameter estimation in multiresponse situations

1966 • 151 citations

The Experimental Study of Physical Mechanisms

1965 • 144 citations

A Comparison of Accelerated Life Test Plans for Weibull and Lognormal Distributions and Type I Censoring

1984 • 143 citations

Theory for Optimum Censored Accelerated Life Tests for Normal and Lognormal Life Distributions

1976 • 142 citations

Optimal experiment design for dynamic system identification

1981 • 124 citations

Optimal Designs for Binary Data

1987 • 121 citations

Estimating Michaelis-Menten Parameters: Bias, Variance and Experimental Design

1982 • 119 citations

A Joint Design Criterion for the Dual Problem of Model Discrimination and Parameter Estimation

1968 • 117 citations

Parameter Transformations for Improved Approximate Confidence Regions in Nonlinear Least Squares

1981 • 107 citations

A sequentially constructed design for estimating a nonlinear parametric function

1980 • 103 citations

Accounting for Intrinsic Nonlinearity in Nonlinear Regression Parameter Inference Regions

1982 • 101 citations

An extension of the General Equivalence Theorem to nonlinear models

1973 • 94 citations

Estimation of copolymer reactivity ratios: An example of nonlinear estimation

1964 • 83 citations

The Convergence of General Step-Length Algorithms for Regular Optimum Design Criteria

1978 • 82 citations

Developments in the Design of Experiments, Correspondent Paper

1982 • 78 citations

Asymptotic inference from sequential design in a nonlinear situation

1985 • 78 citations

The use of prior distributions in the design of experiments for parameter estimation in non-linear situations.

1967 • 77 citations

Selection of Dose Levels for Estimating a Percentage Point of a Logistic Quantal Response Curve

1980 • 67 citations

Experiments for Nonlinear Functions

1973 • 67 citations

A Quadratic Design Criterion for Precise Estimation in Nonlinear Regression Models

1985 • 65 citations

The use of prior distributions in the design of experiments for parameter estimation in non-linear situations: multiresponse case

1967 • 64 citations

Inference and sequential design

1985 • 58 citations

The use of prior distributions in the design of experiments for parameter estimation in non-linear situations

1967 • 56 citations

The Occurrence of Replications in Optimal Designs of Experiments to Estimate Parameters in Non-Linear Models

1968 • 55 citations

Asymptotically Optimum Over-Stress Tests to Estimate the Survival Probability at a Condition with a Low Expected Failure Probability

1977 • 55 citations

A-optimality for regression designs

1982 • 54 citations

D-Optimal Designs for Partially Nonlinear Regression Models

1980 • 53 citations

Treatment Allocation for Nonlinear Models in Clinical Trials: The Logistic Model

1984 • 49 citations

Design of Experiments for Subsets of Parameters

1974 • 48 citations

Aspects of Optimal Design in Dynamic Systems

1980 • 47 citations

Experiments for Nonlinear Functions (R.A. Fisher Memorial Lecture)

1973 • 47 citations

Further Consideration of Heteroscedasticity in Fitting Kinetic Models

1977 • 44 citations

Designing experiments for precise estimation of all or some of the constants in a mechanistic model

1969 • 43 citations

Calculation of intrinsic and parameter-effects curvatures for nonlinear regression models

1983 • 42 citations

A stochastic Newton-Raphson method

1978 • 40 citations

Confidence regions for parameter subsets in nonlinear regression

1986 • 36 citations

Comparison of Sequential Bioassays in Small Samples

1971 • 32 citations

Maximum likelihood recursion and stochastic approximation in sequential designs

1986 • 30 citations

The Experimental Study of Physical Mechanisms

1965 • 30 citations

Bayesian Approach to the Analysis of Nonlinear Models: Implementation and Evaluation

1981 • 28 citations

Approaches in Sequential Design of Experiments

1973 • 27 citations

A Joint Design Criterion for the Dual Problem of Model Discrimination and Parameter Estimation

1968 • 26 citations

A Note onD-Optimal Designs for Partially Nonlinear Regression Models

1984 • 25 citations

Optimal designs for ratios of linear combinations in the general linear model

1986 • 25 citations

Design Considerations for Calibration

1986 • 22 citations

Adaptive statistical procedures and related topics

1986 • 22 citations

Accounting for Heteroscedasticity in Experimental Design

1977 • 19 citations

Optimal experimental design in econometrics

1978 • 19 citations

The Derivative of |XX| and Its Uses

1983 • 19 citations

Experimental Design for Sensitivity Testing: The Weibull Model

1977 • 17 citations

On sequential and nonsequential D‐optimal experimental design

1975 • 15 citations

A Comparison of Accelerated Test Plans to Estimate the Survival Probability at a Design Stress

1978 • 14 citations

“Design of Experiments” for the Identification of Linear Dynamic Systems

1975 • 13 citations

Optimal static and sequential design : a critical review

1976 • 13 citations

Design Considerations for Calibration

1986 • 12 citations

The optimal design of experiments for estimation in non-linear models

1975 • 12 citations

The estimation of extreme quantiles in logit bioassay

1983 • 10 citations

Bayesian Estimation and Design of Experiments for Growth Rates when Sampling from the Poisson Distribution

1972 • 10 citations

Estimation of monolayer capacity for the BET equation

1969 • 10 citations

On Formulas for the Distribution of Nonlinear L.S. Estimates

1987 • 9 citations

Experimental Design for Categorized Data

1981 • 9 citations

A simple method for constructing exact tests for sequentially designed experiments

1973 • 8 citations

Exploratory studies in non-sequential non-local non-linear design

1985 • 6 citations

Design and inference in nonlinear problems

1986 • 6 citations

Optimal Bayesian Design for Non-Linear Estimation

1986 • 4 citations

The Derivative of IX'XI and Its Uses

1983 • 4 citations

Optimum conditions for production of ethylene oxide

1962 • 3 citations

Repeated-MLE procedures for stochastic approximation in quantal response problems

1986 • 3 citations

Variations of the robbins—monro procedure for estimating ED(p)in the logit model

1978 • 2 citations

Note on the Factorial Moments of the Distribution of Locally Maximal Elements in a Random Sample

1959 • 2 citations

Polynomials of Parameters in the Regression Model — Estimation and Design

1982 • 1 citations

Deleted Work

1955 • 0 citations

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