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Branch of statistics mathematics
Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over
Functional_data_analysis
Statistical method for investigating the dominant modes of variation of functional data
Functional principal component analysis (FPCA) is a statistical method for investigating the dominant modes of variation of functional data. Using this
Functional principal component analysis
Functional_principal_component_analysis
Set of related ordination techniques used in information visualization
Ramsay of McGill University, who is also regarded as the founder of functional data analysis. MDS algorithms fall into a taxonomy, depending on the meaning
Multidimensional_scaling
Branch of nonparametric statistics
Distributional data analysis is a branch of nonparametric statistics that is related to functional data analysis. It is concerned with random objects
Distributional_data_analysis
data analysis Bayesian analysis Cluster analysis Combinatorial data analysis Formal concept analysis Functional data analysis Geometric data analysis Regression
Structured data analysis (statistics)
Structured_data_analysis_(statistics)
Type of regression analysis
Functional regression is a version of regression analysis when responses or covariates include functional data. Functional regression models can be classified
Functional_regression
Academic journal
covered include copula modeling, functional data analysis, graphical modeling, high-dimensional data analysis, image analysis, multivariate extreme-value theory
Journal of Multivariate Analysis
Journal_of_Multivariate_Analysis
Open-source environment for processing and displaying functional MRI data
Analysis of Functional NeuroImages (AFNI) is an open-source environment for processing and displaying functional MRI data—a technique for mapping human
Analysis of Functional NeuroImages
Analysis_of_Functional_NeuroImages
Statistical field
Compositional Data Analysis and the Aitchison geometry. Theoretical applications are mainly in statistics, specifically functional data analysis of density
Bayes_space
Grouping a set of objects by similarity
Cluster analysis, or clustering, is a data analysis technique aimed at partitioning a set of objects into groups such that objects within the same group
Cluster_analysis
Programming paradigm based on applying and composing functions
in financial analysis, and XQuery/XSLT for XML. Domain-specific declarative languages like SQL and Lex/Yacc use some elements of functional programming
Functional_programming
Belgian-Australian statistician & scholar
interests include nonparametric statistics, deconvolution and functional data analysis. Following her undergraduate degree in mathematics at Université
Aurore_Delaigle
Spanish statistician (born 1969)
Efficient Data Acquisition (2012), Spatial and Spatio-Temporal Geostatistical Modeling and Kriging (2015), or Geostatistical Functional Data Analysis (2021)
Jorge_Mateu
Data structure implementable in purely functional languages
computer science, a purely functional data structure is a data structure that can be directly implemented in a purely functional language. The main difference
Purely functional data structure
Purely_functional_data_structure
Method of analyzing variables in software
Data-flow analysis is a technique for gathering information about the possible set of values calculated at various points in a computer program. It forms
Data-flow_analysis
Mathematical model for stochastic processes
has been studied with the GFLM Functional additive models Functional data analysis Functional principal component analysis Generalized linear model Karhunen–Loève
Generalized functional linear model
Generalized_functional_linear_model
Algorithm for measuring similarity between temporal sequences
classifier on a set of benchmark time series classification tasks. In functional data analysis, time series are regarded as discretizations of smooth (differentiable)
Dynamic_time_warping
Analysis of datasets using techniques from topology
In applied mathematics, topological data analysis (TDA) is an approach to the analysis of datasets using techniques from topology. Extraction of information
Topological_data_analysis
Sequence of data points over time
series analysis comprises methods for analyzing time series data in order to extract meaningful statistics and other characteristics of the data. Time
Time_series
Programming language for statistics
statistical computing and data visualization. It has been widely adopted in the fields of data mining, bioinformatics, data analysis, and data science. The core
R_(programming_language)
Canadian statistician
co-author Bernard Silverman, he is widely recognized as the founder of functional data analysis. He wrote four influential books and over 100 peer-reviewed articles
James_O._Ramsay
envelope. To construct a functional boxplot, data ordering is the first step. In functional data analysis, each observation is a real function, therefore
Functional_boxplot
Simultaneous observation and analysis of more than one outcome variable
observed data; how they can be used as part of statistical inference, particularly where several different quantities are of interest to the same analysis. Certain
Multivariate_statistics
Functional job analysis (FJA) is a method of job analysis that was developed by the Employment and Training Administration of the United States Department
Functional_job_analysis
Method of data analysis
component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data preprocessing
Principal_component_analysis
Unit of information
data Data (computer science) Data acquisition Data analysis Data bank Data cable Data center Data curation Data domain Data element Data farming Data
Data
Process of using data analysis for predicting population data from sample data
the process of using data analysis to infer properties of an underlying probability distribution. Inferential statistical analysis infers properties of
Statistical_inference
Representation on functions in computer engineering
engineering, software engineering, and computer science, a function model or functional model is a structured representation of the functions (activities, actions
Function_model
MRI procedure that measures brain activity by detecting associated changes in blood flow
Functional magnetic resonance imaging or functional MRI (fMRI) measures brain activity by detecting changes associated with blood flow. This technique
Functional magnetic resonance imaging
Functional_magnetic_resonance_imaging
Classification algorithm
JSTOR 2289161. OSTI 1447861. Ramsay, J.O.; Silverman, J.O. (2005). Functional Data Analysis. Springer New York, NY. doi:10.1007/b98888. ISBN 978-0-387-40080-8
Whitening_transformation
Set of statistical processes for estimating the relationships among variables
regression analysis is linear regression, in which one finds the line (or a more complex linear combination) that most closely fits the data according
Regression_analysis
Turkish-American biostatistician
of Public Health whose interests include longitudinal studies, functional data analysis, and applications of biostatistics in the study of autism and of
Damla_Şentürk
Collection of statistical models
Bailey (2008) "Cauchy Functional Equation". Cauchy, Augustin Louis (1821). Cours d'analyse de l'École royale polytechnique [Analysis course at the Royal
Analysis_of_variance
Branch of mathematics
function spaces. Its major areas include complex analysis, functional analysis, measure theory, harmonic analysis, and the theory of ordinary and partial differential
Mathematical_analysis
Checking software against expectations
relevant standards, and applicable laws. Software testing can be functional or non-functional in nature. Software testing is often dynamic in nature: running
Software_testing
Data visualization tool
contour boxplot, data ordering is the first step. In functional data analysis, each observation is a real function, therefore data ordering is different
Contour_boxplot
Centralized storage of knowledge
computing, a data warehouse (DW or DWH), also known as an enterprise data warehouse (EDW), is a system used for reporting and data analysis and is a core
Data_warehouse
Data structure that always preserves the previous version of itself when it is modified
common in logical and functional programming, as languages in those paradigms discourage (or fully forbid) the use of mutable data. In the partial persistence
Persistent_data_structure
Method used in statistics, pattern recognition, and other fields
Linear discriminant analysis (LDA), normal discriminant analysis (NDA), canonical variates analysis (CVA), or discriminant function analysis is a generalization
Linear_discriminant_analysis
Branch of statistics
survival analysis involves the modelling of time to event data; in this context, death or failure is considered an "event" in the survival analysis literature
Survival_analysis
Greek mathematical statistician
and stochastic geometry. He is known for contributions to the functional data analysis of random functions, operators, and measures. He has published
Victor_Panaretos
instrumental variables, estimation of high-dimensional models, and functional data analysis. (Chen et al. 2014) He served as Co-Editor of two of the leading
Joel_Horowitz
Free software library
software library containing image analysis and statistical tools for functional, structural and diffusion MRI brain imaging data. FSL is available as both precompiled
FMRIB_Software_Library
Method for algorithm analysis in computer science
parametrizations or data structure contents) may imply a significant cost in resources, whereas other situations may not be as costly. The amortized analysis considers
Amortized_analysis
Smooth function in statistics
used in non-parametric regression, semiparametric regression and functional data analysis. In parametric modeling, variance functions take on a parametric
Variance_function
Framework for machine learning
and functional analysis. Statistical learning theory deals with the statistical inference problem of finding a predictive function based on data. Statistical
Statistical_learning_theory
Flow Diagram
data flow diagrams, control flow diagrams, Gantt charts, PERT diagrams, and IDEF. FFBDs are also referred to as functional flow diagrams, functional block
Functional_flow_block_diagram
Engineering process
with the simulation Business analysis Business process reengineering Creative brief Data modeling Design brief Functional requirements Information technology
Requirements_analysis
Analyse-it – software Analysis of categorical data Analysis of covariance Analysis of molecular variance Analysis of rhythmic variance Analysis of variance Analytic
List_of_statistics_articles
Software agent that communicates on social media
"Classification of social media users with generalized functional data analysis". Computational Statistics & Data Analysis. 179 107647. doi:10.1016/j.csda.2022.107647
Social_bot
Measure of statistical dispersion
(IQR) is a measure of statistical dispersion, which is the spread of the data. The IQR may also be called the midspread, middle 50%, fourth spread, or
Interquartile_range
Gathering information for analysis
collection remains the same. The goal for all data collection is to capture evidence that allows data analysis to lead to the formulation of credible answers
Data_collection
Automatic analysis of video
machine, it is possible to build other functionalities, such as video summarization, identification, behavior analysis, or other forms of situation awareness
Video_content_analysis
Systematic analysis technique
variation of DFMEA developed for functional safety applications is called Design Deviation and Mitigation Analysis (DDMA). The DDMA variation adds information
Failure modes, effects, and diagnostic analysis
Failure_modes,_effects,_and_diagnostic_analysis
Techniques to study geometric data
spatial analysis is geospatial analysis, the technique applied to structures at the human scale, most notably in the analysis of geographic data. It may
Spatial_analysis
Statistical method that summarizes and/or integrates data from multiple sources
Meta-analysis is a method of synthesis of quantitative data from multiple independent studies addressing a common research question. An important part
Meta-analysis
Data combined from several measurements
Aggregate data collected from various sources are used in different areas of studies such as comparative political analysis and APD scientific analysis for
Aggregate_data
connectivity is a recent expansion on traditional functional connectivity analysis which typically assumes that functional networks are static in time. DFC is related
Dynamic functional connectivity
Dynamic_functional_connectivity
Aguilera, Spanish expert on principal component analysis, functional data analysis, and categorical data Susan Ahmed (born 1946), American biostatistician
List_of_women_in_statistics
Spanish statistician
statistician whose research involves principal component analysis, functional data analysis, categorical data, and multi-dimensional contingency tables. She is
Ana_María_Aguilera
Comparison of two distributions
Paul (1983), Graphical methods for data analysis, Wadsworth Cleveland, W.S. (1994) The Elements of Graphing Data, Hobart Press ISBN 0-9634884-1-4 Filliben
Q–Q_plot
Programming paradigm entirely based on functions
Functional programming may use persistent non-purely functional data structures, while those data structures may not be used in purely functional programs
Purely_functional_programming
Correlation of a signal with a time-shifted copy of itself, as a function of shift
used in signal processing, time domain and time series analysis to understand the behavior of data over time. Different fields of study define autocorrelation
Autocorrelation
Generates a forecast of future values of a time series
is often used for analysis of time-series data. Exponential smoothing is one of many window functions commonly applied to smooth data in signal processing
Exponential_smoothing
Analysis of software performed when running a program
Dynamic data-flow analysis tracks the flow of information from sources to sinks. Forms of dynamic data-flow analysis include dynamic taint analysis and even
Dynamic_program_analysis
Statistical model validation technique
techniques for assessing how the results of a statistical analysis will generalize to an independent data set. Cross-validation includes resampling and sample
Cross-validation_(statistics)
Graphical representation of the "flow" of data through an information system
another data-flow diagram, which subdivides this process into sub-processes. The data-flow diagram is a tool that is part of structured analysis, data modeling
Data-flow_diagram
British statistician
Applied Functional Data Analysis: Methods and Case Studies. Springer-Verlag. Ramsay, J. O.; Silverman, B. W. (2005) [1997]. Functional Data Analysis (second
Bernard_Silverman
Any task which a system must be able to complete
outputs. Functional requirements may involve calculations, technical details, data manipulation and processing, and other specific functionality that define
Functional_requirement
Approximation method in statistics
In regression analysis, least squares is a method to determine the best-fit model by minimizing the sum of the squared residuals—the differences between
Least_squares
Estimator for quality of a statistical model
2517-6161.1977.tb01603.x, JSTOR 2984877. Sugiura, N. (1978), "Further analysis of the data by Akaike's information criterion and the finite corrections", Communications
Akaike_information_criterion
Term in statistical hypothesis testing
statistical power is "power analysis", a calculation of power usually done before an experiment is conducted using data from pilot studies or a literature
Power_(statistics)
Position that there is no relationship between two phenomena
critical part of an analysis". A statistical significance test is intended to test a hypothesis. If the hypothesis summarizes a set of data, there is no value
Null_hypothesis
Type of statistical measure over subsets of a dataset
mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set. Variations include: simple
Moving_average
Interpretation of probability
first mathematical treatment of a non-trivial problem of statistical data analysis using what is now known as Bayesian inference. Mathematician Pierre-Simon
Bayesian_probability
Sequence database of DNA barcoding
a set of improvements supporting data collection and analysis but also included novel functionality improving data dissemination, citation, and annotation
Barcode_of_Life_Data_System
Statistical method
Factor analysis is a statistical method used to describe variability among observed, correlated variables in terms of a potentially lower number of unobserved
Factor_analysis
Statistical method
Design and Analysis of Ecological Experiments. CRC Press. ISBN 0412035618. Ch13, p300 Rice, John. Mathematical Statistics and Data Analysis (2 ed.). p
Bootstrapping_(statistics)
Software engineering method
functional decomposition approach, it focuses on cohesion within functions and coupling between functions leading to structured data. The functional decomposition
Structured_analysis
of statistical procedures which can be used for the analysis of categorical data, also known as data on the nominal scale and as categorical variables.
List of analyses of categorical data
List_of_analyses_of_categorical_data
Measure of metropolitan and surrounding areas
residents commute into the city, a concept known as the "functional urban region." To ensure a good data availability, Eurostat adjusts the FUA boundaries to
Functional_urban_area
Algorithmically generated data that have a similar distribution as sampled data
the context of privacy-preserving statistical analysis, in 1993, the idea of original fully synthetic data was created by Donald Rubin. Rubin originally
Synthetic_data
Study of collection and analysis of data
discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial
Statistics
Concepts from statistical hypothesis testing
false negative, is the incorrect acceptance of a false null hypothesis. An analysis commits a Type I error when some baseline assumption is incorrectly rejected
Type_I_and_type_II_errors
Analysis of social and lingual policy, or historiographical discourse phenomena
discourse Conversation analysis Critical discourse analysis Discursive psychology Emergent grammar Ethnography of communication Functional grammar Interactional
Discourse_analysis
Scientific study of language
Hjelmslev; and Zellig Harris who also developed methods of discourse analysis. Functional analysis was developed by the Prague linguistic circle and André Martinet
Linguistics
Topics referred to by the same term
electronic voltage amplifier with differential inputs and outputs Functional data analysis, a branch of statistics Fluorescein diacetate, a non-fluorescent
FDA_(disambiguation)
Statistical modeling method
in the context of data analysis. In this case, we "hold a variable fixed" by restricting our attention to the subsets of the data that happen to have
Linear_regression
Experiment methodology
challenges were grouped into four areas: analysis, engineering and culture, deviations from traditional A/B tests and data quality. It is difficult to definitively
A/B_testing
Function of the observed sample results
phenomenon under study, and the validity of assumptions that underlie the data analysis". Another concern is that the p-value is often misunderstood as being
P-value
U.S. government AI system
sensor data to detect, track, and forecast activity on and above Earth. The system integrates machine learning with real-time tip-and-cue functionality, enabling
Sentient (intelligence analysis system)
Sentient_(intelligence_analysis_system)
How many standard deviations apart from the mean an observed datum is
such as multidimensional scaling and cluster analysis, the concept of distance between the units in the data is often of considerable interest and importance…
Standard_score
Statistic for rank correlation
also appear in other areas of statistics, like the Rand index in cluster analysis. Let ( x 1 , y 1 ) , . . . , ( x n , y n ) {\displaystyle (x_{1},y_{1})
Kendall rank correlation coefficient
Kendall_rank_correlation_coefficient
Data visualization
Bagplot Contour boxplot Data and information visualization Exploratory data analysis Fan chart Five-number summary Functional boxplot Seasonality Seven-number
Box_plot
Non-parametric method for testing whether samples originate from the same distribution
Cleveland, Beat Kleiner, and Paul A. Tukey (1983). Graphical Methods for Data Analysis. Belmont, Calif: Wadsworth International Group, Duxbury Press. ISBN 053498052X
Kruskal–Wallis_test
Disciplines of managing data as a resource
escalation protocols, and cross-functional oversight committees to maintain trust and accountability in data use. Data architecture consist of models,
Data_management
Type of statistics
probability theory, and are frequently nonparametric statistics. Even when a data analysis draws its main conclusions using inferential statistics, descriptive
Descriptive_statistics
Mathematical computing environment
symbolic mathematics, numerical analysis, data processing, visualization, and others. A toolbox, MapleSim, adds functionality for multidomain physical modeling
Maple_(software)
Statistical property
below the true of population variance. Thus, regression analysis using heteroscedastic data will still provide an unbiased estimate for the relationship
Homoscedasticity and heteroscedasticity
Homoscedasticity_and_heteroscedasticity
Statistical measure of variability
1993.10476408. hdl:2027.42/142454. Ruppert, D. (2010). Statistics and Data Analysis for Financial Engineering. Springer. p. 118. ISBN 9781441977878. Retrieved
Median_absolute_deviation
FUNCTIONAL DATA-ANALYSIS
FUNCTIONAL DATA-ANALYSIS
Female
Hebrew
(דִּיתָה) Pet form of Hebrew Yehuwdiyth, DITA means "Jewess" or "praised." Compare with another form of Dita.
Female
Hungarian
 Short form of Hungarian Katalin, KATA means "pure." Compare with other forms of Kata.
Male
Hebrew
Variant spelling of Hebrew Dathan, DATAN means "belonging to a fountain."
Female
Finnish
 Short form of Finnish Katariina, KATA means "pure." Compare with other forms of Kata.
Female
Finnish
Variant form of Finnish Aada, AATA means "noble."
Female
Polish
 Variant spelling of Polish Dyta, DITA means "rich battle." Compare with another form of Dita.
Female
Slavic
 Short form of Slavic Bogdana, DANA means "gift from God." Compare with other forms of Dana.
Female
Polish
Short form of Polish Edyta, DYTA means "rich battle."
Male
Iranian/Persian
 Short form of Persian Dârayavahush, DARA means "possesses a lot, wealthy." Compare with other forms of Dara.
Female
Hindi/Indian
(लता) Hindi name derived from a plant name, from the Sanskrit word lata, LATA means "creeper," in reference to a creeping plant.
Male
Turkish
Turkish name ATA means "ancestor."
Female
Russian
 Short form of Russian Yekaterina, KATA means "pure." Compare with other forms of Kata.
Female
English
 English surname transferred to unisex forename use, possibly DANA means "from Denmark." Compare with other forms of Dana.
Male
Hebrew
(דֶּרַע) Hebrew name DARA means "the arm." In the bible, this is the name of a son of Zerah. Compare with other forms of Dara.
Female
English
 Middle English name DARA means "brave, daring." Compare with another form of Dara.
Male
Irish
 From Irish Gaelic Mac Dara, DARA means "son of oak." Compare with other forms of Dara.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Male
English
English surname transferred to unisex forename use, possibly DANA means "from Denmark."
Female
Hebrew
(×“Ö¼Ö¸× Ö¸×”) Feminine form of Hebrew Dan, DANA means "judge." Compare with other forms of Dana.
Male
Irish
Irish Gaelic name MAC DARA means "son of oak." This is the name of a patron saint and is still common in Ireland, especially in Connemara.
FUNCTIONAL DATA-ANALYSIS
FUNCTIONAL DATA-ANALYSIS
Girl/Female
Muslim
Gifted with reason. Wise.
Boy/Male
Australian, French, Hebrew, Japanese
Exalted of the Lord
Boy/Male
Sikh
Boy/Male
Native American
Short.
Boy/Male
Hindu
Difficult to conquer, Unvanquished
Girl/Female
Arabic, Gujarati, Hindu, Indian, Muslim
Victorious Peace
Boy/Male
British, Celtic, English, German, Hebrew, Swedish
Attached; Combined
Boy/Male
Tamil
Yogeshwar | யோகேஷà¯à®µà®°
Yogiraj
Girl/Female
Muslim
Excellence
Boy/Male
American, Australian, British, English, Vietnamese
Lives by the Stronghold; Luck; Blessings
FUNCTIONAL DATA-ANALYSIS
FUNCTIONAL DATA-ANALYSIS
FUNCTIONAL DATA-ANALYSIS
FUNCTIONAL DATA-ANALYSIS
FUNCTIONAL DATA-ANALYSIS
n.
The point of time at which a transaction or event takes place, or is appointed to take place; a given point of time; epoch; as, the date of a battle.
n.
The fruit of the date palm; also, the date palm itself.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
a.
Of or pertaining to fractions or a fraction; constituting a fraction; as, fractional numbers.
a.
Pertaining to, or connected with, a function or duty; official.
v. t.
To note or fix the time of, as of an event; to give the date of; as, to date the building of the pyramids.
a.
Relating to friction; moved by friction; produced by friction; as, frictional electricity.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
adv.
In a functional manner; as regards normal or appropriate activity.
v. t.
To note the time of writing or executing; to express in an instrument the time of its execution; as, to date a letter, a bond, a deed, or a charter.
v. i.
Alt. of Functionate
pl.
of Datum
n.
Prior date; a date antecedent to another which is the actual date.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
n. pl.
See Datum.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
That addition to a writing, inscription, coin, etc., which specifies the time (as day, month, and year) when the writing or inscription was given, or executed, or made; as, the date of a letter, of a will, of a deed, of a coin. etc.
a.
Relatively small; inconsiderable; insignificant; as, a fractional part of the population.
v. i.
To execute or perform a function; to transact one's regular or appointed business.
v. t.
To supply with an organ or organs having a special function or functions.