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Mathematical function
The generalized logistic function or curve is an extension of the logistic or sigmoid functions. Originally developed for growth modelling, it allows
Generalised_logistic_function
Asymmetric sigmoid function
function in which both asymptotes are approached by the curve symmetrically. It is a special case of the generalised logistic function. The function was
Gompertz_function
Mathematical function having a characteristic S-shaped curve or sigmoid curve
curve. A common example of a sigmoid function is the logistic function. Other sigmoid functions are given in the Examples section. In some fields, most
Sigmoid_function
Growth curve model
special case of the generalised logistic function. The growth curve is used to model mean length from age in animals. The function is commonly applied
Von_Bertalanffy_function
English plant physiologist
requirements of crops. He first described the general form of the generalised logistic function in 1959. Richards was born at Burton-on-Trent, the third child
Francis_John_Richards
Class of statistical models
this setup are logistic regression models (or logit models). Alternatively, the inverse of any continuous cumulative distribution function (CDF) can be
Generalized_linear_model
Characterizations of the exponential function Exponential growth Exponentiation Generalised logistic function Logistic distribution SETAR (model) Chan, K
STAR_model
Family of probability distributions
GEV-distributed variables follows a logistic distribution, of which the logit function is the quantile function. The type-I GEV distribution thus plays
Generalized extreme value distribution
Generalized_extreme_value_distribution
Probability distribution
random variable with a normal distribution, and t is the standard logistic function, then X = t(Y) has a logit-normal distribution; likewise, if X is
Logit-normal_distribution
Function related to statistics and probability theory
A likelihood function (often simply called the likelihood) measures how well a statistical model explains observed data by calculating the probability
Likelihood_function
Continuous probability distribution
Generalised Hyperbolic Secant or NEF-GHS distribution. A random variable follows a hyperbolic secant distribution if its probability density function
Hyperbolic secant distribution
Hyperbolic_secant_distribution
Set of methods for supervised statistical learning
function is the conditional expectation function, f s q ( x ) = E [ y x ] {\displaystyle f_{sq}(x)=\mathbb {E} \left[y_{x}\right]} ; For the logistic
Support_vector_machine
Regression analysis technique
estimates β. Common choices for m include the logistic function. The data are often fitted as a generalised linear model where the predicted values μ are
Binomial_regression
Associated populations of species in a given area
Climate change and the introduction of invasive species can affect the functioning of key species and thus have knock-on effects on the community processes
Community_(ecology)
In mathematics, a quantitative measure of the shape of a set of points
moment Generalised mean Image moment L-moment Method of moments (probability theory) Method of moments (statistics) Moment-generating function Moment
Moment_(mathematics)
Model of multi-species population dynamics
dynamics of species competing for some common resource. They can be further generalised to the generalized Lotka–Volterra equation to include trophic interactions
Competitive Lotka–Volterra equations
Competitive_Lotka–Volterra_equations
Subset of artificial intelligence
perceptrons and other models that were later found to be reinventions of the generalised linear models of statistics. Probabilistic reasoning was also employed
Machine_learning
Mathematical marketing model
Riccati equation with constant coefficients equivalent to Verhulst—Pearl logistic growth. In 1969, Frank Bass published his paper on a new product growth
Bass_diffusion_model
regression Log-log plot Log-logistic distribution Logarithmic distribution Logarithmic mean Logistic distribution Logistic function Logistic regression Logit Logit
List_of_statistics_articles
Probability distribution
{\displaystyle \phi (x)} denote the standard normal probability density function ϕ ( x ) = 1 2 π e − x 2 2 {\displaystyle \phi (x)={\frac {1}{\sqrt {2\pi
Skew_normal_distribution
Probability distribution
Vetterli, M. (February 2002). "Wavelet-based Texture Retrieval Using Generalised Gaussian Density and Kullback–Leibler Distance". IEEE Transactions on
Generalized normal distribution
Generalized_normal_distribution
Statistical technique
functional forms, often versions of the generalised logistic growth such as the logistic, exponential or Gompertz functions. Though straightforward to fit with
Latent_growth_modeling
Type of exploratory graph used in statistics
points may be used to represent the levels of a categorical variable. A generalised biplot displays information on both continuous and categorical variables
Biplot
French researcher (born 1957)
application and generalisation of the logistic function (and equation). Applications include tests of chaos of the discrete logistic map, an endo-exo approach to
Didier_Sornette
Statistical estimation technique
{\displaystyle \mathbf {y} } given X {\displaystyle \mathbf {X} } to be a linear function of X {\displaystyle \mathbf {X} } and that the conditional variance of
Generalized_least_squares
Optimization problem
formulation may be obtained by transforming the capacity cut constraints into generalised subtour elimination constraints (GSECs). ∑ i ∈ S ∑ j ∈ S x i j ≤ | S
Vehicle_routing_problem
Variable representing a random phenomenon
refers to neither randomness nor variability but instead is a mathematical function in which the domain is the set of possible outcomes in a sample space (e
Random_variable
Statistical physics approach
generated by κ-deformed functions, especially the κ-exponential function. The Kaniadakis exponential (or κ-exponential) function is a one-parameter generalization
Kaniadakis_statistics
Dynamical system
chaotic behavior. Such maps can be found here: List of chaotic maps. A logistic mapping demonstrates chaotic behavior, easily identifiable in one dimension
Coupled_map_lattice
University. Subjects presented vary from abstract mathematics such as generalised functions and graph theory, to applied mathematics in bitcoin and probability
Singapore Mathematical Society
Singapore_Mathematical_Society
Method for analyzing revealed preferences
Thurstone was unable to generalise this binary choice into a multinomial choice framework (which required the multinomial logistic regression rather than
Choice_modelling
Method of data analysis
the chance of overfitting the model, producing conclusions that fail to generalise to other datasets. One approach, especially when there are strong correlations
Principal_component_analysis
Medical condition of lack of oxygen in the tissues
consequence of a wide variety of causes. Hypoxic hypoxia, also referred to as generalised hypoxia, may be caused by: Hypoventilation, which is insufficient ventilation
Hypoxia_(medicine)
Algorithmic technique in ecology
Vargas, J. Mario (2006). "Obtaining Environmental Favourability Functions from Logistic Regression". Environmental and Ecological Statistics. 13 (2): 237–245
Species distribution modelling
Species_distribution_modelling
Periodicity computation method
1142/S0129183102003024. S2CID 8256563. M. Zechmeister; M. Kürster (March 2009). "The generalised Lomb–Scargle periodogram. A new formalism for the floating-mean and Keplerian
Least-squares spectral analysis
Least-squares_spectral_analysis
Simultaneous observation and analysis of more than one outcome variable
analysis finds linear relationships among two sets of variables; it is the generalised (i.e. canonical) version of bivariate correlation. Redundancy analysis
Multivariate_statistics
Formal information theory restatement of Occam's Razor
Dowe, D.L. (April 2005). "Chapter 11: Minimum Message Length, MDL and Generalised Bayesian Networks with Asymmetric Languages". In Grunwald, P.; Pitt,
Minimum_message_length
Predicted elapsed time between inherent failures of a system during operation
all-important case of several serial components, MTBF calculation can be easily generalised into mtbf ( c 1 ; … ; c n ) = ( ∑ k = 1 n 1 mtbf ( c k ) ) − 1 , {\displaystyle
Mean_time_between_failures
Time series model
that describes the variance of the current error term or innovation as a function of the actual sizes of the previous time periods' error terms; often the
Autoregressive conditional heteroskedasticity
Autoregressive_conditional_heteroskedasticity
Statistical quantity
where F is the cumulative distribution function of the distribution. These conditions have since been generalised and extended to discrete distributions
Nonparametric_skew
Statistical optimality criterion
absolute values of the residuals one generalises the absolute value function to a tilted absolute value function, which on the left half-line has slope
Least_absolute_deviations
Leader of Romania from 1965 to 1989
European Community: an agreement including Romania in the Community's Generalised System of Preferences was signed in 1974 and an Agreement on Industrial
Nicolae_Ceaușescu
Continuous probability distribution
Kaniadakis κ-Gamma distribution Kaniadakis κ-Weibull distribution Kaniadakis κ-Logistic distribution Kaniadakis κ-Erlang distribution Kaniadakis, G. (2021-01-01)
Kaniadakis_distribution
Number of values in the final calculation of a statistic that are free to vary
polynomial fit, computing the effective degrees of freedom of the smoothing function is not straightforward. In these cases, it is important to estimate the
Degrees of freedom (statistics)
Degrees_of_freedom_(statistics)
detection Canny edge detector: detect a wide range of edges in images Generalised Hough transform Hough transform Marr–Hildreth algorithm: an early edge
List_of_algorithms
infinitesimal generators of its symmetries. Consider Pierre François Verhulst's logistic growth model with linear predation, where the state variable x {\displaystyle
Lie_point_symmetry
Form of scientific experiment
study of effectiveness of valproate, lamotrigine, or topiramate for generalised and unclassifiable epilepsy: an unblinded randomised controlled trial"
Randomized_controlled_trial
Machine learning technique useful for dimensionality reduction
scalable map (OS-Map) generalises the neighborhood function and the winner selection. The homogeneous Gaussian neighborhood function is replaced with the
Self-organizing_map
Probability distribution
regression has been developed which generalizes Poisson regression and logistic regression. This takes advantage of the exponential family properties of
Conway–Maxwell–Poisson distribution
Conway–Maxwell–Poisson_distribution
Numerical method for solving boundary value problems
1016/j.jnnfm.2007.03.009. Croft, Thomas Lloyd David (2015-04-09). Proper generalised decompositions: theory and applications (phd thesis). Cardiff University
Proper generalized decomposition
Proper_generalized_decomposition
German astronomer and mathematician (1571–1630)
Charles (1785). Mathematical Tables: Containing Common, Hyperbolic, and Logistic Logarithms. Also Sines, Tangents, Secants, and Versed-sines. G. G. J. and
Johannes_Kepler
The arithmetic mean, although a concept known to the Greeks, was not generalised to more than two values until the 16th century. The invention of the
History_of_statistics
Statistical method in data analysis
University Press. ISBN 978-0-521-86571-5. Mahalanobis, P. C. (1936). "On the generalised distance in statistics". Proceedings of the National Institute of Sciences
Hierarchical_clustering
Probability distribution
"Robust approaches for inverse problems based on Tsallis and Kaniadakis generalised statistics". The European Physical Journal Plus. 136 (5): 518. Bibcode:2021EPJP
Kaniadakis exponential distribution
Kaniadakis_exponential_distribution
Continuous probability distribution
ISSN 1742-5468. S2CID 18961951. da Silva, Sérgio Luiz E.F. (2021). "κ -generalised Gutenberg–Richter law and the self-similarity of earthquakes". Chaos
Kaniadakis Weibull distribution
Kaniadakis_Weibull_distribution
Method of machine learning
loss functions v t ( w ) = ⟨ w , z t ⟩ {\displaystyle v_{t}(w)=\langle w,z_{t}\rangle } . To generalise the algorithm to any convex loss function, the
Online_machine_learning
Statistical method that summarizes and/or integrates data from multiple sources
bias in research synthesis: sensitivity analysis using a priori weight functions". Psychological Methods. 10 (4): 428–443. doi:10.1037/1082-989X.10.4.428
Meta-analysis
Theory of machine learning
on making different assumptions about the inference principles used to generalise from limited data. This includes different definitions of probability
Computational_learning_theory
Piece of information about the content of an image
parameterizable feature (class variables, cluster detection, etc..) Generalised Hough transform Deformable, parameterized shapes Active contours (snakes)
Feature_(computer_vision)
Country in Southeast and Central Europe
EFTA and CEFTA, a preferential trade regime with the European Union, a Generalised System of Preferences with the United States, and individual free trade
Serbia
Disorder caused by dissolved gases forming bubbles in tissues
pre-breathing is an effective method to protect against altitude DCS, it is logistically complicated and expensive for the protection of civil aviation flyers
Decompression_sickness
Anxiety disorder characterized by reoccurring unexpected panic attacks
PMID 33529291. "Clinical guidelines and evidence review for panic disorder and generalised anxiety disorder" (PDF). National Collaborating Centre for Primary Care
Panic_disorder
Series of TV adaptations of Shakespeare's plays
the BBC hierarchy, who greenlighted the show. Experiencing financial, logistical and creative problems in the early days of production, Messina persevered
BBC_Television_Shakespeare
Legal principle
"having supported, participated in and failed to prevent 'systematic and generalised attacks' as part of a repressive campaign by security forces against
Universal_jurisdiction
Pulmonary function measurement
prediction accuracy to generalised additive models of location, scale and shape (GAMLSS), as used by the Global Lung Function Initiative. The segmented
Pulmonary diffusing capacity for nitric oxide
Pulmonary_diffusing_capacity_for_nitric_oxide
Term used to describe state-embedded drug trafficking in Venezuela
driven drug trafficking organisation rather than a profit-based system of generalised corruption involving high-ranking military figures," a view shared by
Cartel_of_the_Suns
Observed inability to reproduce scientific studies
independent effect of context-sensitivity could be observed both in a multiple logistic regression and in a hierarchical regression model. In the latter case,
Replication_crisis
Design of tasks
deviations of adjusted and interpolated values of an observed polynomial function and its constants and the guidance they give towards a proper choice of
Design_of_experiments
Place in Auckland Region, New Zealand
Auckland Council. "Stats NZ Geographic Data Service". Urban Rural 2023 (generalised). Retrieved 20 December 2024. "Subnational population estimates - Aotearoa
Kumeū
Technique in user-centered interaction design
traditional lab usability evaluation creates challenges both from the cost and logistical perspectives. These concerns led to research on remote usability evaluation
Usability_testing
Bilateral relations between China and African states
Africans had eased by June 2020. Reports as of 2023 have highlighted the generalised view in China of Africans as "backward or primitive and blackness as
Africa–China_relations
exponentially before leveling off in the 1900s; the general shape is known as the logistic curve. In other cases, a branch of study reached the point of saturation
Mathematics, science, technology and engineering of the Victorian era
Mathematics,_science,_technology_and_engineering_of_the_Victorian_era
New Zealand mathematician and statistician (1927–2021)
Uppsala University). His thesis, Hypothesis Testing in Time Series, generalised Wold's autoregressive representation theorem for univariate stationary
Peter_Whittle_(mathematician)
Nazi policies regarding the role of women in German society
war, but were regarded as auxiliary military personnel, responsible for logistical and administrative duties in the areas understaffed due to the number
Women_in_Nazi_Germany
Mathematical game of resource allocation
2025. Chakrabarti, Bikas K. (2007). "Kolkata Restaurant Problem as a Generalised El Farol Bar Problem". Econophysics of Markets and Business Networks
Kolkata Paise Restaurant Problem
Kolkata_Paise_Restaurant_Problem
Marine consumer-resource system
trophic interactions can also provide a lot of information about the functioning of marine ecosystems. Compared to terrestrial environments, marine environments
Marine_food_web
2012 pp. 40–422) Many of an Army's ration strength were labourers and logistical personnel, and just over half were combat troops (of whom a decreasing
British Army during the First World War
British_Army_during_the_First_World_War
Extinct genus of gomphothere elephantimorph native to South America
440–12,550 cal yr Before Present, has been suggested to have functioned as a "logistic and temporary camp associated mainly with gomphothere hunting
Notiomastodon
four groupements, Luchiga, Kabalole, Luduha, and Idudwe, and received logistical reinforcements and arms shipments. Observers later sighted M23 units near
Timeline of the M23 campaign (2025)
Timeline_of_the_M23_campaign_(2025)
Nazi concentration camp in German-occupied Poland during World War II
soldiers, but most, given their lack of combat experience, were helping with logistical issues, rescuing those under ruins as well as extinguishing fires. Morale
Warsaw_concentration_camp
Measures taken to regulate the movement of goods and people across borders
director of security at Ben Gurion, terms the "human factor", which he generalised as "the inescapable fact that terrorist attacks are carried out by people
Border_control
Philosophy done in Romania or by Romanians
Salt of the Earth, To be, the do, to have and I & You & He & She or the Generalised Dialogue. His last book is called The Instant and the Time. His system
Romanian_philosophy
Others, such as Gifford, suggest that Bayart's observations are too generalised and were specific in geographical and chronological reference only to
Christianity_in_Zambia
GENERALISED LOGISTIC-FUNCTION
GENERALISED LOGISTIC-FUNCTION
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, the son of the functionary Heknofre.
Biblical
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Male
Egyptian
, Functionary of the Interior.
Boy/Male
Tamil
Second name of four vedas. means holistic in speech and deed
Boy/Male
Hindu
Second name of four vedas. means holistic in speech and deed
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
Surname or Lastname
English
English : status name from Middle English squyer ‘esquire’, ‘a man belonging to the feudal rank immediately below that of knight’ (from Old French esquier ‘shield bearer’). At first it denoted a young man of good birth attendant on a knight, or by extension any attendant or servant, but by the 14th century the meaning had been generalized, and referred to social status rather than age. By the 17th century, the term denoted any member of the landed gentry, but this is unlikely to have influenced the development of the surname.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Male
Egyptian
, a great functionary.
Male
Egyptian
, an Egyptian functionary.
Boy/Male
Hindu, Indian, Malayalam, Telugu
A Name of Four Vedas; Holistic in Speech and Deed
Male
Celtic
, great justiciary, or functionary.
Male
Egyptian
, a high Egyptian functionary.
GENERALISED LOGISTIC-FUNCTION
GENERALISED LOGISTIC-FUNCTION
Surname or Lastname
English
English : from Middle English fotman, applied in various senses, but most probably an occupational name for a foot soldier, or possibly for an attendant or servant (a meaning first recorded in late Middle English).
Boy/Male
Muslim
Pure
Girl/Female
Celebrity, Gujarati, Hindu, Indian, Kashmiri, Malayalam, Oriya, Punjabi, Rajasthani, Sanskrit, Sikh, Sindhi, Tamil, Telugu
Hope; Aspiration; Admirable
Boy/Male
Arabic, Muslim
Intelligent
Boy/Male
Arabic, Muslim
Clean
Biblical
he that resists Baal; rebellion
Girl/Female
Arabic, Muslim, Pashtun
Eyelashes
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sikh, Tamil, Telugu, Traditional
Beloved of Gods
Boy/Male
Indian
Happiness; Lord Shiva
Girl/Female
Native American
Night (Black Foot).
GENERALISED LOGISTIC-FUNCTION
GENERALISED LOGISTIC-FUNCTION
GENERALISED LOGISTIC-FUNCTION
GENERALISED LOGISTIC-FUNCTION
GENERALISED LOGISTIC-FUNCTION
n.
That branch of the military art which embraces the details of moving and supplying armies. The meaning of the word is by some writers extended to include strategy.
v. i.
To form into a genus; to view objects in their relations to a genus or class; to take general or comprehensive views.
n.
A generalized concept of magnitude.
v. t.
To derive or deduce (a general conception, or a general principle) from particulars.
a.
Bestowing praise of eulogy; commendatory; eulogistic.
p. pr. & vb. n.
of Generalize
a.
Sexagesimal, or made on the scale of 60; as, logistic, or sexagesimal, arithmetic.
a.
Unfavorable; not commendatory; -- opposed to eulogistic.
adv.
In an egoistic manner.
v. t.
To apply to other genera or classes; to use with a more extensive application; to extend so as to include all special cases; to make universal in application, as a formula or rule.
a.
Alt. of Oligistic
a.
Comprising structural characters which are separated in more specialized forms; synthetic; as, a generalized type.
a.
Of or pertaining to a porism; poristic.
v. t.
To make universal; to generalize.
imp. & p. p.
of Generalize
a.
Bestowing praise; eulogistic; laudatory.
a.
Phlogistic.
a.
Alt. of Logistical
n.
One who takes general or comprehensive views.
n.
A system of arithmetic, in which numbers are expressed in a scale of 60; logistic arithmetic.