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In statistics, sequential estimation refers to estimation methods in sequential analysis where the sample size is not fixed in advance. Instead, data is
Sequential_estimation
Statistical analysis where the sample size is not fixed in advance
classical hypothesis testing or estimation, at consequently lower financial and/or human cost. The method of sequential analysis is first attributed to
Sequential_analysis
Process of controlling orientation of an aerospace vehicle
Junkins.. Chapman and Hall/CRC, 2004. Kalman filtering can be used to sequentially estimate the attitude, as well as the angular rate. Because attitude
Spacecraft attitude determination and control
Spacecraft_attitude_determination_and_control
Method of data analysis
useful to make an estimate of the PCA projection that can be updated sequentially. This can be done efficiently, but requires different algorithms. In
Principal_component_analysis
American mathematician and statistician (1919–2010)
Blackwell published the paper "Conditional Expectation and Unbiased Sequential Estimation", which outlined a technique that later became known as the Rao–Blackwell
David_Blackwell
Nonparametric measure of rank correlation
estimators. These estimators, based on Hermite polynomials, allow sequential estimation of the probability density function and cumulative distribution
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Branch of mathematics concerning probability
partial knowledge of their state, as in statistical mechanics or sequential estimation. A great discovery of twentieth-century physics was the probabilistic
Probability_theory
Process for estimating a probability density function
PDF into a deterministic discrete grid Sequential Bayesian filtering is the extension of the Bayesian estimation for the case when the observed value changes
Recursive_Bayesian_estimation
Algorithm that estimates unknowns from a series of measurements over time
"Factorization Methods for Discrete Sequential Estimation". Factorization Methods for Discrete Sequential Estimation. Bibcode:1977fmds.book.....B. Bar-Shalom
Kalman_filter
Digital circuit design abstraction
A synchronous circuit consists of two kinds of elements: registers (sequential logic) and combinational logic. Registers (usually implemented as D flip-flops)
Register-transfer_level
Mathematical decision rule
for sequential estimation, where the posterior of the current measurement is used as the prior in the next measurement. In sequential estimation, unless
Bayes_estimator
Estimation method that minimizes the mean square error
estimates. One crucial difference between batch estimation and sequential estimation is that sequential estimation requires an additional Markov assumption.
Minimum mean square error estimator
Minimum_mean_square_error_estimator
Structural estimation is a technique for estimating deep "structural" parameters of theoretical economic models. The term is inherited from the simultaneous
Structural_estimation
Type of Monte Carlo algorithms for signal processing and statistical inference
localization Moving horizon estimation Recursive Bayesian estimation Wills, Adrian G.; Schön, Thomas B. (3 May 2023). "Sequential Monte Carlo: A Unified Review"
Particle_filter
index Separation test Sequential analysis Sequential estimation Sequential Monte Carlo methods – redirects to Particle filter Sequential probability ratio
List_of_statistics_articles
British statistician (c. 1701 – 1761)
the core of almost every modern estimation approach that includes conditioned probabilities, such as sequential estimation, probabilistic machine learning
Thomas_Bayes
although sequential versions were later developed, specifically the SNPHAP method. The most accurate and widely used methods for haplotype estimation utilize
Haplotype_estimation
Statistical experiment designs
GB; Chen, H; Vasudeva, RB (1966). "Sequential estimation of quantal response curves: a new method of estimation". Biometrika. 53 (3–4): 439–454. doi:10
Up-and-down_design
process has a finite state space. Magiera, R. (1998). "Optimal Sequential Estimation for Markov-Additive Processes". Advances in Stochastic Models for
Markov_additive_process
Theorem in statistics
(1955) Ghosh, Malay; Mukhopadhyay, Nitis; Sen, Pranab Kumar (2011), Sequential Estimation, Wiley Series in Probability and Statistics, vol. 904, John Wiley
Basu's_theorem
Form of dyadic relationship
Serial monogamy is a mating practice in which individuals may engage in sequential monogamous pairings, or in terms of humans, when men or women can marry
Monogamy
Probabilistic problem-solving algorithm
and MCMC methodologies, these mean-field particle techniques rely on sequential interacting samples. The terminology mean field reflects the fact that
Monte_Carlo_method
Hypothesis test in mathematics
The sequential probability ratio test (SPRT) is a specific sequential hypothesis test, developed by Abraham Wald and later proven to be optimal by Wald
Sequential probability ratio test
Sequential_probability_ratio_test
Statistical theorem
statistics Blackwell, D. (1947). "Conditional expectation and unbiased sequential estimation". Annals of Mathematical Statistics. 18 (1): 105–110. doi:10.1214/aoms/1177730497
Rao–Blackwell_theorem
Polish mathematician and statistician (1932–2008)
Doktoraty". www.impan.pl. Retrieved 2025-02-24. Trybuła, Stanisław. "Sequential estimation in processes with independent increments". Dissertationes Mathematicae
Stanisław_Trybuła
Procedure to estimate standard deviation from a sample
In statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated
Unbiased estimation of standard deviation
Unbiased_estimation_of_standard_deviation
Sequential model-based optimization of expensive black-box functions
Bayesian optimization is a sequential model-based strategy for global optimization of black-box objective functions whose evaluations are costly. It is
Bayesian_optimization
partial knowledge of their state, as in statistical mechanics or sequential estimation. A great discovery of twentieth-century physics was the probabilistic
Glossary_of_engineering:_M–Z
Statistical algorithm
Zili; Zhang, Peng; Qi, Wenjuan; Liu, Jinfang; Gao, Yuan (2012-04-15). "Sequential covariance intersection fusion Kalman filter". Information Sciences. 189:
Covariance_intersection
Statistical technique correcting sampling bias
ISBN 0-674-00560-0. Cameron, A. Colin; Trivedi, Pravin K. (2005). "Sequential Two-Step m-Estimation". Microeconometrics: Methods and Applications. New York: Cambridge
Heckman_correction
Statistical Markov model
0 {\displaystyle t=t_{0}} . Estimation of the parameters in an HMM can be performed using maximum likelihood estimation. For linear chain HMMs, the Baum–Welch
Hidden_Markov_model
Hungarian mathematician
decision theory, geometry and econometrics, and founded the field of sequential analysis. One of his well-known statistical works was written during World
Abraham_Wald
Collection of statistical models
planned to satisfy the goals of the experiment. Experimentation is often sequential. Early experiments are often designed to provide mean-unbiased estimates
Analysis_of_variance
Polynomial sequence
Herrmann, J. (1981). "Cross coupling and aliasing in modal wave-front estimation". J. Opt. Soc. Am. 71 (8): 989. Bibcode:1981JOSA...71..989H. doi:10.1364/JOSA
Zernike_polynomials
Computational method in Bayesian statistics
wider application domain of ABC exacerbates the challenges of parameter estimation and model selection. ABC has rapidly gained popularity over the last years
Approximate Bayesian computation
Approximate_Bayesian_computation
Statistical measure of the magnitude of a phenomenon
group of data-analysis methods concerning effect sizes is referred to as estimation statistics. Effect size is an essential component in the evaluation of
Effect_size
Creation and maintenance of software
customized and emergent for the development effort. The process may be sequential, in which each major phase (i.e., design, implement, and test) is completed
Software_development
foundations of statistics. Included earlier results of Wald on sequential analysis and the sequential probability ratio test and on Wald's complete class theorem
List of publications in statistics
List_of_publications_in_statistics
Reconstructing an historical ocean state
climatological monthly estimates. The second approach is that of the sequential data assimilation analyses, which move forward in time from a previous
Ocean_reanalysis
Overview of and topical guide to statistics
(statistics) Survival analysis Density estimation Kernel density estimation Multivariate kernel density estimation Time series Time series analysis Box–Jenkins
Outline_of_statistics
Problem in statistical estimation
In the statistical theory of estimation, the German tank problem consists of estimating the maximum of a discrete uniform distribution from sampling without
German_tank_problem
3D reconstruction technique
orientation, often through some combination of SLAM, GPS, or inertial estimation. Researchers often use synthetic data to evaluate NeRF and related techniques
Neural_radiance_field
Determining the position and orientation of a robot by analyzing associated camera images
odometry is the process of determining equivalent odometry information using sequential camera images to estimate the distance traveled. Visual odometry allows
Visual_odometry
Process by which software is developed
difference between methodologies is the degree to which the phases are sequential vs. iterative. Agile methodologies, such as XP and scrum, focus on lightweight
Software_development_process
Perception concept
subsystem, or an elementary component of the system (e.g. a neuron). In sequential ideal observer analysis, the goal is to measure a real system's performance
Ideal_observer_analysis
Resource problem in machine learning
constructed convergent population selection strategies in "some aspects of the sequential design of experiments". A theorem, the Gittins index, first published
Multi-armed_bandit
Empirical law on the variance of species in a habitat
single-nucleotide polymorphisms (SNPs) gene structures in number theory with sequential values of the Mertens function and also with the distribution of prime
Taylor's_law
Rule for estimating the mean of a dataset
{\displaystyle {\boldsymbol {Y}}:=(Y_{1},Y_{2},\dots Y_{m})} . It arose sequentially in two main published papers. The earlier version of the estimator was
James–Stein_estimator
Class of reinforcement learning algorithm
algorithms include Monte Carlo (MC) RL, SARSA, and Q-learning. Monte Carlo estimation is a central component of many model-free RL algorithms. The MC learning
Model-free (reinforcement learning)
Model-free_(reinforcement_learning)
Mathematical optimization algorithm
methods include: Successive linear programming (SLP) Sequential quadratic programming (SQP) Sequential linear-quadratic programming (SLQP) Reduced gradient
Active-set_method
Statistical method of dividing data into equal-sized intervals for analysis
a random process. These are statistics derived methods, sequential nonparametric estimation algorithms in particular. There are a number of such algorithms
Quantile
Sub-field of reinforcement learning
explored using classic matrix games such as prisoner's dilemma, more complex sequential social dilemmas, and recreational games such as Among Us, Diplomacy and
Multi-agent reinforcement learning
Multi-agent_reinforcement_learning
Statistician and professor
research in nonparametric inference, sequential analysis, decision theory, Bayesian statistics and small-area estimation. As a recognition of his seminal
Malay_Ghosh
The international naming scheme of the typhoons was replaced with a sequential list of names contributed by 14 nations in the region, including the Philippines
List_of_Philippine_typhoons
Design of tasks
experimenting, is within the scope of sequential analysis, a field that was pioneered by Abraham Wald in the context of sequential tests of statistical hypotheses
Design_of_experiments
Largest living species of dolphin
December 10, 1998. Retrieved February 26, 2010 Springer, A. M. (2003). "Sequential megafaunal collapse in the North Pacific Ocean: An ongoing legacy of industrial
Orca
Israeli-American academic
interplay between estimation theory and information theory, entropy, noise reduction (denoising), filtering, prediction, sequential decision making, learning
Tsachy_Weissman
Class of video frames processed in a distinct way by a compression algorithm
I-macroblocks Multi‑frame motion estimation (up to 16 reference frames or 32 reference fields) Multi‑frame motion estimation increases the quality of the
Video compression picture types
Video_compression_picture_types
Speed of convergence of a mathematical sequence
{\displaystyle k\rightarrow \infty } limit of quotients of absolute differences of sequential iterates x k , x k + 1 {\displaystyle x_{k},x_{k+1}} from their limit
Rate_of_convergence
Form of global sensitivity analysis
_{B}^{i}\right)_{j}\right)^{2}}} for the estimation of the Si and the STi respectively. For the estimation of the Si and the STi for all input variables
Variance-based sensitivity analysis
Variance-based_sensitivity_analysis
Estimations of customer demand
to forecast demand, estimations of a chosen variable are used to determine the effects it has on demand. Regarding the estimation of the chosen variable
Demand_forecasting
Vector quantization algorithm minimizing the sum of squared deviations
requirement for labeled data. Standard Lloyd’s algorithm is inherently sequential. It has an effective time complexity of O(nkdi), which becomes a bottleneck
K-means_clustering
Distribution estimation technique
to sample from a different distribution to lower the variance of the estimation of E P [ X ] {\displaystyle \mathbb {E} _{\mathbb {P} }[X]} , or when
Importance_sampling
Branch of statistics
situations. Inferential statistics are used to test hypotheses and make estimations using sample data. Whereas descriptive statistics describe a sample,
Mathematical_statistics
Method of statistical inference
interesting information. Also, this technique can hardly be avoided in sequential analysis." "A useful fact is that any Bayes decision rule obtained by
Bayesian_inference
Systems engineering professor (born 1962)
statistical signal processing applied to system identification, signal estimation, and fault detection. Kadirkamanathan is the Co-editor of International
Visakan_Kadirkamanathan
Branch of statistics focusing on spatial data sets
random variable) theory to model the uncertainty associated with spatial estimation and simulation. A number of simpler interpolation methods/algorithms,
Geostatistics
Proposition in statistics
strong likelihood principle applies this same criterion to cases such as sequential experiments where the sample of data that is available results from applying
Likelihood_principle
Algorithm used to solve non-linear least squares problems
to solve linear ill-posed problems, as well as in ridge regression, an estimation technique in statistics. Various more or less heuristic arguments have
Levenberg–Marquardt_algorithm
Branch of machine learning
Michael I. (1986). "Attractor dynamics and parallelism in a connectionist sequential machine". Proceedings of the Annual Meeting of the Cognitive Science Society
Deep_learning
Relationship between items in a set
an Internet search engine may rank the pages it finds according to an estimation of their relevance, making it possible for the user quickly to select
Ranking
Theory in microeconomics
Jae Hyen; Chintagunta, Pradeep K.; Misra, Sanjog (2019-05-06). "Estimation of Sequential Search Model". SSRN. Rochester, NY. SSRN 3203973. Ursu, Raluca;
Search_theory
Business process modeling tool
and IDEF. A control-flow diagram can consist of a subdivision to show sequential steps, with if-then-else conditions, repetition, and/or case conditions
Control-flow_diagram
Statistical concept
clustering, under the name model-based clustering, and also for density estimation. Mixture models should not be confused with models for compositional data
Mixture_model
German academic working in photogrammetry and geodesy
studies and blunder detection in bundle systems Algorithms for sequential estimation in bundle systems (on-line triangulation) Geometrically constrained
Armin_Gruen
of macromolecules. This relatively limited definition allows for the estimation of a date for the so-called "molecular revolution", or at least to establish
History_of_molecular_biology
Concept in econometrics
from those that are predetermined (exogenous). Ignoring simultaneity in estimation leads to biased and inconsistent estimators, as it violates the exogeneity
Endogeneity_(econometrics)
Statistical test
to calculate sums of squares. The three most common types are Type I (sequential), Type II (hierarchical), and Type III (marginal). Most statistical software
Two-way_analysis_of_variance
Indian statistician
in 1995. Most notable areas of his research include, sequential analysis, statistical estimation in diffusion processes, the law of large numbers and
Arup_Bose
American statistician
November 15, 1941) is an American statistician who has worked extensively on sequential analysis. Siegmund grew up in Webster Groves, Missouri. He received his
David_Siegmund
World's first watch
reappeared at an antiques and flea market in London. The initial price estimation for this watch is between 50 and 80 million dollars (May 2014). The first
Watch_1505
Largest known fish species
(February 21, 2023). "A Devonian Fish Tale: A New Method of Body Length Estimation Suggests Much Smaller Sizes for Dunkleosteus terrelli (Placodermi: Arthrodira)"
List_of_largest_fish
Order issued by a business or trader to a customer
allows the internal audit control of completeness to be monitored. A sequential sales order number may be used by the company for its sales order documents
Sales_order
Progressive neurodegenerative disease
resulting in overall slowed movement with reduced amplitude that affects sequential and simultaneous tasks. Bradykinesia can also lead to hypomimia, reduced
Parkinson's_disease
Technique for setting initial values of trainable parameters in a neural network
modelling in LSTM. Orthogonal initialization has been generalized to layer-sequential unit-variance (LSUV) initialization. It is a data-dependent initialization
Weight_initialization
Calculation of complex statistical distributions
expanded the MCMC toolkit, including particle filters (Sequential Monte Carlo) for sequential problems, Perfect sampling aiming for exact simulation (Jim
Markov_chain_Monte_Carlo
Procedure for comparing multivariate sample means
life satisfactions scores measured at sequential time points and p job satisfaction scores measured at sequential time points. In this case there are k+p
Multivariate analysis of variance
Multivariate_analysis_of_variance
directions. The data interaction process can be well explained as a local sequential Bayesian updating process within a neighborhood. Because single-step transition
Markov_chain_geostatistics
AI's tendency to abruptly and drastically forget old info after learning new info
then the network readily learned all of the associations correctly. In sequential training the A-B list was trained first, followed by the A-C list. After
Catastrophic_interference
American economist and econometrician (born 1971)
contributions to three fields: affirmative action in higher education, structural estimation of dynamic discrete choice models, and college major choice, having written
Peter_Arcidiacono
Experimental design that is optimal with respect to some statistical criterion
design of sequential experiments. Sequential analysis was pioneered by Abraham Wald. In 1972, Herman Chernoff wrote an overview of optimal sequential designs
Optimal_experimental_design
Mathematical problem involving optimal stopping theory
ranked from best to worst unambiguously. The applicants are interviewed sequentially in random order, with each order being equally likely. Immediately after
Secretary_problem
Danish astronomer
generalisation of approval voting to multiple winner elections called sequential proportional approval voting, which was briefly used for party lists in
Thorvald_N._Thiele
Law of time perception
neither overestimated nor underestimated. The other major paradigm of time estimation methodology measures time prospectively as seen in the time measurement
Vierordt's_law
Chinese American statistician (born 1960)
from 1997 to 2001. His wide research interests cover Survival Analysis, Sequential Analysis, Longitudinal Data Analysis, Stochastic Processes, Semiparametric
Zhiliang_Ying
Bayesian-optimal mechanism Bayesian-optimal pricing Bayesian optimization – Sequential model-based optimization of expensive black-box functions Bayesian poisoning –
List of things named after Thomas Bayes
List_of_things_named_after_Thomas_Bayes
Model selection principle
other forms of inductive inference and learning, for example to estimation and sequential prediction, without explicitly identifying a single model of the
Minimum_description_length
Form of Newton's method used in statistics
Nicholas T. (1987). "A fast scoring algorithm for maximum likelihood estimation in unbalanced mixed models with nested random effects". Biometrika. 74
Scoring_algorithm
Statistical method
intervals, prediction error, etc.) to sample estimates. This technique allows estimation of the sampling distribution of almost any statistic using random sampling
Bootstrapping_(statistics)
Model to simulate Li-ion cells electrical dynamics
real-time Battery Management System (BMS) tasks like State of Charge (SoC) estimation, State of Health (SoH) monitoring and battery thermal management. The
Equivalent circuit model for Li-ion cells
Equivalent_circuit_model_for_Li-ion_cells
SEQUENTIAL ESTIMATION
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SEQUENTIAL ESTIMATION