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Parameter estimation technique in statistics, particularly econometrics
In economics and econometrics, the parameter identification problem arises when the value of one or more parameters in an economic model cannot be determined
Parameter identification problem
Parameter_identification_problem
Process of calculating the causal factors that produced a set of observations
effects. Inverse problems are some of the most important mathematical problems in science and mathematics because they tell us about parameters that we cannot
Inverse_problem
American academic and Nobel Laureate (1916–2001)
firms, theory of casual ordering, and the analysis of the parameter identification problem in econometrics. Administrative Behavior, first published in
Herbert_A._Simon
Branch of statistics to estimate models based on measured data
with estimating the values of parameters based on measured empirical data that has a random component. The parameters describe an underlying physical
Estimation_theory
approaches that deliver point-identification of the model parameters, methods from the literature on partial identification are used to obtain set estimates
Set_identification
Economic model of price determination in a market
" the estimated algebraic counterparts of the theory. The Parameter identification problem is a common issue in "structural estimation." Typically, data
Supply_and_demand
Identification of nonlinear systems
four steps to be followed for system identification: data gathering, model postulate, parameter identification, and model validation. Data gathering
Nonlinear system identification
Nonlinear_system_identification
Task of selecting a statistical model from a set of candidate models
Identifiability Analysis Log-linear analysis Model identification Occam's razor Optimal design Parameter identification problem Scientific modelling Statistical model
Model_selection
Resource problem in machine learning
alternative setup for the multi-armed bandit problem includes the "best arm identification (BAI)" problem where the goal is instead to identify the best
Multi-armed_bandit
Dynamical system property
the area of system identification, a dynamical system is structurally identifiable if it is possible to infer its unknown parameters by measuring its output
Structural_identifiability
Results from a system of equations in econometrics
between y and z with unknown coefficients. (This is again the parameter identification problem.) The M reduced form equations (the rows of the matrix equation
Reduced_form
Methods in mathematical statistics
which a model must satisfy to allow precise inference Parameter identification problem – Parameter estimation technique in statistics, particularly econometrics
Identifiability_analysis
Type of statistical model
linear model Seemingly unrelated regressions Reduced form Parameter identification problem Martin, Vance; Hurn, Stan; Harris, David (2013). Econometric
Simultaneous_equations_model
Method for numerical solution of certain systems of equations
sous contraintes en identification de paramètres [Efficient solvers for constrained optimization in parameter identification problems] (Thesis) (in French)
Generalized minimal residual method
Generalized_minimal_residual_method
Statistical model to calculate the value of multiple quantities as they change over time
parameter identification problem, ordinary least squares estimation of the structural VAR would yield inconsistent parameter estimates. This problem can
Vector_autoregression
Part of a URL that assigns values to specified parameters
optional component string of a URI, used to provide a set of one or more parameter values. When a URI is submitted to a server in a request to access, or
Query_string
Mathematical concept
optimization problem and, as a consequence, SID methods do not suffer from problems related to local minima that often lead to unsatisfactory identification results
Subspace identification method
Subspace_identification_method
analysis – redirects to PARAFAC Paradigm (experimental) Parameter identification problem Parameter space Parametric family Parametric model Parametric statistics
List_of_statistics_articles
Eric Walter (born March 23, 1950) is a researcher of statistics and parameter estimation in the French laboratory Laboratoire des Signaux et Systèmes
Eric_Walter
Iterative method for finding maximum likelihood estimates in statistical models
the parameters, and a maximization (M) step, which computes parameters maximizing the expected log-likelihood found on the E step. These parameter-estimates
Expectation–maximization algorithm
Expectation–maximization_algorithm
Mathematical problem in cryptography
time reduction from the GapSVPζ,γ problem in the worst case to solving LWEq,Ψα using poly(n) samples for parameters α∈(0,1), γ(n)≥n/(αlogn), ζ(n)≥γ(n)
Learning_with_errors
Approximation method in statistics
estimate of the location parameter by changing both the probability density and the method of estimation. He then turned the problem around by asking what
Least_squares
Process used to improve the accuracy of robots
dynamic parameters describe arm and joint masses and internal friction. Non-parametric robot calibration circumvents the parameter identification. Used
Robot_calibration
Computational method
2017). Efficient solvers for constrained optimization in parameter identification problems (PDF) (Doctoral Thesis). Université Paris Saclay (COmUE).
Minimal_residual_method
Social concept
Michael. "Reflection Problem". International Encyclopedia of the Social Sciences. Manski, Charles F. (1993). "Identification of Endogenous Social Effects:
Social_multiplier_effect
Semantic property
distribution of observable data. This term often arises in relation to the identification problem. In macroeconomics, it happens when you have multiple structural
Observational_equivalence
Regulation of nonlinear systems
Linear parameter-varying control (LPV control) deals with the control of linear parameter-varying systems, a class of nonlinear systems which can be modelled
Linear parameter-varying control
Linear_parameter-varying_control
Electronic tracking technology
Radio-frequency identification (RFID) uses electromagnetic fields to automatically identify and track tags attached to objects. An RFID system consists
Radio-frequency identification
Radio-frequency_identification
Process of finding the optimal set of variables for a machine learning algorithm
optimization or tuning is the problem of choosing a set of optimal hyperparameters for a learning algorithm. A hyperparameter is a parameter whose value is used
Hyperparameter_optimization
Statistical interpretation with many tests
large-scale testing problems where the goal is to provide definitive results, the family-wise error rate remains the most accepted parameter for ascribing significance
Multiple_comparisons_problem
Unsolved problem in computational complexity theory
Unsolved problem in computer science Can the graph isomorphism problem be solved in polynomial time? More unsolved problems in computer science The graph
Graph_isomorphism_problem
Solution of some Diophantine equation
Hilbert's tenth problem is not a formal mathematical statement as such, the nearly universal acceptance of the (philosophical) identification of a decision
Diophantine_set
Subfield of machine learning, intelligent control, and control theory
applicable. Four types of problems are commonly encountered: Control parameter identification: MLC translates to a parameter identification if the structure of
Machine_learning_control
Function related to statistics and probability theory
compared are parameterized by a parameter, with the parameter often written as θ, or they are parameterized by multiple parameters given as the components of
Likelihood_function
Number of vertices with unambiguous distances
a fixed-parameter tractable algorithm (for the parameterization by k) is unlikely to exist. Nevertheless, the problem becomes fixed-parameter tractable
Metric dimension (graph theory)
Metric_dimension_(graph_theory)
Theory in neuropsychology
and address problems such as pattern recognition and prediction. The primary intuition behind the ART model is that object identification and recognition
Adaptive_resonance_theory
Tracking system using transceivers on ships
The automatic identification system (AIS) is an automatic tracking system that uses transponders on ships and is used by vessel traffic services (VTS)
Automatic identification system
Automatic_identification_system
Data-driven algorithm
Sparse identification of nonlinear dynamics (SINDy) is a data-driven algorithm for obtaining dynamical systems from data. Given a series of snapshots of
Sparse identification of non-linear dynamics
Sparse_identification_of_non-linear_dynamics
Statistical concept
distributions and the problem of mixture decomposition, that is the identification of its constituent components and the parameters thereof, has been cited
Mixture_model
Christological approach to the problem of evil. John Paul and Adams speak of the "horrors" of existence becoming "secure points of identification with the crucified
Religious responses to the problem of evil
Religious_responses_to_the_problem_of_evil
Study of writing style
about the author short of a full identification. Authors may use adversarial stylometry to resist this identification by eliminating their own stylistic
Stylometry
baryon and a meson? Mu problem: A problem in supersymmetric theories, concerned with understanding the reasons for parameter values of the theory. Koide
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
Methodic assignment of colors to elements of a graph
Vertex coloring is often used to introduce graph coloring problems, since other coloring problems can be transformed into a vertex coloring instance. For
Graph_coloring
deprecated parameter |citeseerx= (help) Hood, M.V.; Bullock, C. S. (July 1, 2008). "Worth a Thousand Words?: An Analysis of Georgia's Voter Identification Statute"
Voter identification laws in the United States
Voter_identification_laws_in_the_United_States
Mathematical data production model with limited structure
system identification Parameter estimation Research design Scientific modelling Simulation Statistical model System dynamics System identification System
Grey_box_model
American economist
work in rational choice theory and an innovator in the area of parameter identification. His research spans econometrics, judgment and decision, and the
Charles_F._Manski
Study of risks in a plan or operation
environment, as well as operability problems that could affect operations efficiency. It is the foremost hazard identification tool in the domain of process
Hazard_and_operability_study
Recognition of a speaker from their voice
Speaker recognition is the identification of a person from characteristics of voices. It is used to answer the question "Who is speaking?" The term voice
Speaker_recognition
Class of software bugs
consequence of this type is the Y2K problem, but many other milestone dates or times exist that have caused or will cause problems depending on various programming
Time formatting and storage bugs
Time_formatting_and_storage_bugs
Secure multi-party computation protocol
journal}}: Cite uses deprecated parameter |citeseerx= (help) David Chaum (1988). "The Dining Cryptographers Problem: Unconditional Sender and Recipient
Dining_cryptographers_problem
Type of artificial neural network
series from this equation is the forward problem. The examples here illustrate the inverse problem; identification of the underlying dynamics, or fundamental
Radial_basis_function_network
Probability distribution
standard deviation are fairly reliable." Therefore, the problem is for the case of four parameter estimation for very skewed distributions such that the
Beta_distribution
Property of certain anonymized data
a 1986 paper by Tore Dalenius. k-anonymity is an attempt to solve the problem "Given person-specific field-structured data, produce a release of the
K-anonymity
Technique in statistics
underlying causal effect of interest. IV helps to fix this problem by identifying the parameters β not based on whether x is uncorrelated with u, but based
Instrumental_variables
Single measure of some attribute of a sample
statistical purpose. Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis. The average (or mean)
Statistic
Parameter estimation technique in statistics, particularly econometrics
detect non-identification problem: Order condition. The dimension of moment function m(θ) should be at least as large as the dimension of parameter vector
Generalized_method_of_moments
Windows system process
the same parameter, having a single entry in the SCM's database. The first time that a SvcHost process is launched with a specific parameter, it looks
Svchost.exe
Mathematical descriptions of a rotation group
not P3(R), there will be a problem with each of these approaches. In some cases, we need to remember that certain parameter values result in the same rotation
Charts_on_SO(3)
Computational search for optimal designs
constraints in the multidimensional space, the design problem may be solved analytically. Finding the parameter sets that result in a zero first-order derivative
Computer-automated_design
Unbiased statistical estimator minimizing variance
other unbiased estimator for all possible values of the parameter. For practical statistics problems, it is important to determine the MVUE if one exists
Minimum-variance unbiased estimator
Minimum-variance_unbiased_estimator
Logic puzzle
m=5} which determines the parameters of the constructed perfect WA. Smith, C.A.B. (February 1947). "The Counterfeit Coin Problem". Mathematical Gazette.
Balance_puzzle
Optimization algorithm
ISBN 978-1-4503-1656-9. S2CID 1216890. L. Wang and Q. D. Wu, "Linear system parameters identification based on ant system algorithm," Proceedings of the IEEE Conference
Ant colony optimization algorithms
Ant_colony_optimization_algorithms
Machine learning technique
tree-fitting procedure bjm. The number J of terminal nodes in the trees is a parameter which controls the maximum allowed level of interaction between variables
Gradient_boosting
Set of all Pareto efficient situations
tradeoffs within this set, rather than considering the full range of every parameter. The Pareto frontier, P(Y), may be more formally described as follows
Pareto_frontier
Method of estimating the parameters of a statistical model, given observations
unique global maximum at θ0. Compactness: the parameter space Θ of the model is compact. The identification condition establishes that the log-likelihood
Maximum_likelihood_estimation
Numerical method
function towards its parameters in a constraint optimization form. By using the dual form of this constraint optimization problem, it can be used to calculate
Adjoint_state_method
Estimation approach for random vectors by representing them as sets
f^{-1}(Y),} where P0 is the prior set for the parameters. Characterizing P corresponds to a set-inversion problem. When f is linear the feasible set P can
Set_estimation
Technique for training recurrent neural networks
same parameters. Then, the backpropagation algorithm is used to find the gradient of the loss function with respect to all the network parameters. Consider
Backpropagation_through_time
Geographical problem of calculating properties near edges of areas
four major problems interfere with an accurate estimation of the statistical parameter: the boundary problem, scale problem, pattern problem (or spatial
Boundary problem (spatial analysis)
Boundary_problem_(spatial_analysis)
Computational problem possibly useful for post-quantum cryptography
related to the problem of finding approximate short vectors in an ideal lattice. A RLWE version of the classic Feige–Fiat–Shamir Identification protocol was
Ring_learning_with_errors
Mathematical algorithm
problems" (PDF). SIAM J. Optim. 22 (2): 341–362. CiteSeerX 10.1.1.332.3336. doi:10.1137/100802001. {{cite journal}}: Cite uses deprecated parameter |citeseerx=
Coordinate_descent
Job control language for IBM mainframes
programs to run, and with which files and devices for input and output. Parameters in the JCL can also provide accounting information for tracking the resources
Job_Control_Language
Advanced method of process control
and complexity of the problem space has been neglected. Control engineering Control theory Feed-forward System identification Vichik, Sergey; Borrelli
Model_predictive_control
to be there temporarily on election day. Voters must provide photo identification at their voting station before proceeding to vote. About 95,000 voting
2026 Brazilian general election
2026_Brazilian_general_election
identification ERA/DC Marlon D. Hill. "An Experimental Verification of the Eigensystem Realization Algorithm for Vibration Parameter Identification"
Eigensystem realization algorithm
Eigensystem_realization_algorithm
Model to simulate Li-ion cells electrical dynamics
_{i=1}^{N}V_{c,i}(t)} Experimental identification of the ECM involves the estimation of unknown parameters, especially the capacitance Q {\textstyle
Equivalent circuit model for Li-ion cells
Equivalent_circuit_model_for_Li-ion_cells
Multiple ways for multi-joint objects to realize a movement
neuroscience and motor control, the degrees of freedom problem (also known as the motor equivalence problem) describes the how there are multiple ways for the
Degrees_of_freedom_problem
Digital signature scheme
the hidden number problem. The signature scheme was constructed by applying the Fiat–Shamir transformation to Schnorr's identification protocol. Therefore
Schnorr_signature
Cognitive bias on facial recognition
journal}}: Cite uses deprecated parameter |citeseerx= (help) Behrman BW, Davey SL (2001). "Eyewitness identification in actual criminal cases: An archival
Cross-race_effect
Technique in numerical linear algebra
{D}}=0} the weighted low-rank approximation problem becomes equivalent to the parameter optimization problems minimize over D ^ , P and L vec ⊤ ( D
Low-rank_approximation
identification of (a) the input and output variables, (b) the rule base (knowledge base), (c) the membership functions and (d) the mapping parameters
Genetic_fuzzy_systems
Metrics related to human characteristics
realistic authentication) is used in computer science as a form of identification and access control. It is also used to identify individuals in groups
Biometrics
Proposed parameter in linguistics
In linguistics, head directionality is a proposed parameter that classifies languages according to whether they are head-initial (the head of a phrase
Head-directionality_parameter
Category of routing problem minimizing total distance and time
frequency identification meter reading technology, street maintenance and sweeping, police patrol car route planning, and more. The basic routing problem is:
Arc_routing
invalidate the votes recorded by electronic voting machines that lacked identification numbers, which would have resulted in him being elected with 51% of
2022 Brazilian general election
2022_Brazilian_general_election
Unresolved discrepancy in cosmology
In cosmology, the missing baryon problem is an observed discrepancy between the amount of baryonic matter detected from shortly after the Big Bang and
Missing_baryon_problem
Structural engineering concept
the definition of system performance parameters. The clarity of this assessment depends on the precision of parameter definitions. Axiom AD3: The more sensitive
Structural_health_monitoring
Metadata formats for display devices
provided a basic form of identification by connecting one, two or three pins to ground, but this coding was not standardized. This problem is solved by EDID
Extended Display Identification Data
Extended_Display_Identification_Data
Video-sharing platform
right to distribute. The system, which was initially called "Video Identification" and later became known as Content ID, creates an ID File for copyrighted
YouTube
Method of detecting shapes within images
(b, m) in the parameter space. However, vertical lines pose a problem. They would give rise to unbounded values of the slope parameter m. Thus, for computational
Hough_transform
Description of a system using mathematical concepts and language
nonlinear system identification can be used to select the model terms, determine the model structure, and estimate the unknown parameters in the presence
Mathematical_model
Structural engineering
where βi, i=1,2,…,6 are six parameters that have to be determined in the identification process. However, according to Ikhouane et al
Bouc–Wen_model_of_hysteresis
Processes by which design concepts are developed
that has been developed about how people reason when engaging with design problems. Design thinking is also associated with prescriptions for the innovation
Design_thinking
Computational method in Bayesian statistics
However, the applicability of such methods is problem dependent, and the difficulty of exploring parameter spaces should in general not be underestimated
Approximate Bayesian computation
Approximate_Bayesian_computation
Area of automatic programming
as basically the same problem. The results in terms of learnability were related to classical concepts, such as identification-in-the-limit, as introduced
Inductive_programming
Branch of engineering and mathematics
true parameter values away from nominal. Some advanced control techniques include an "on-line" identification process (see later). The parameters of the
Control_theory
Criterion for model selection
maximum likelihood by adding parameters, but doing so may result in overfitting. Both BIC and AIC attempt to resolve this problem by introducing a penalty
Bayesian information criterion
Bayesian_information_criterion
Range to estimate an unknown parameter
contain (in repeated sampling) the true value of an unknown statistical parameter, such as a population mean. Rather than reporting a single point estimate
Confidence_interval
Checking whether changes to software have broken functionality that used to work
error in revision control). Often, a fix for a problem will be "fragile" in that it fixes the problem in the narrow case where it was first observed but
Regression_testing
In fluid mechanics, the Okubo–Weiss (OW) parameter, (normally denoted by "W") is a scalar quantity used to partition a two-dimensional flow field into
Okubo–Weiss_parameter
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PARAMETER IDENTIFICATION-PROBLEM
PARAMETER IDENTIFICATION-PROBLEM
PARAMETER IDENTIFICATION-PROBLEM
PARAMETER IDENTIFICATION-PROBLEM
PARAMETER IDENTIFICATION-PROBLEM
PARAMETER IDENTIFICATION-PROBLEM
PARAMETER IDENTIFICATION-PROBLEM
PARAMETER IDENTIFICATION-PROBLEM
PARAMETER IDENTIFICATION-PROBLEM
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