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Kind of numerical parameter of a parametric family of probability distributions
probability theory and statistics, a shape parameter (also known as form parameter) is a kind of numerical parameter of a parametric family of probability
Shape_parameter
Probability distribution
With a shape parameter α {\displaystyle \alpha } and a scale parameter θ With a shape parameter α {\displaystyle \alpha } and a rate parameter β = 1
Gamma_distribution
Probability distribution
parameters, denoted by alpha (α) and beta (β), that appear as exponents of the variable and its complement to 1, respectively, and control the shape of
Beta_distribution
Statistical measure
a scale parameter is a special kind of numerical parameter of a parametric family of probability distributions. The larger the scale parameter, the more
Scale_parameter
Continuous probability distribution
&x\geq 0,\\0,&x<0,\end{cases}}} where k > 0 is the shape parameter and λ > 0 is the scale parameter of the distribution. Its complementary cumulative distribution
Weibull_distribution
Method in approximation theory
{\displaystyle \varphi (r)=\exp(-(\varepsilon r)^{2})} , the Gaussian, with a shape parameter of ε = 3 {\displaystyle \varepsilon =3} , we can then solve the matrix
Radial basis function interpolation
Radial_basis_function_interpolation
Quantity that indexes a parametrized family of probability distributions
roles, including the following: location parameter dispersion parameter or scale parameter shape parameter Where a probability distribution has a domain
Statistical_parameter
Variable used for specification
that describe the system are called parameters. For example, in mechanics, the masses, the dimensions and shapes (for solid bodies), the densities and
Parameter
Family of probability distributions often used to model tails or extreme values
is specified by only scale and shape and sometimes only by its shape parameter. Some references give the shape parameter as κ = − ξ {\displaystyle \kappa
Generalized Pareto distribution
Generalized_Pareto_distribution
Topics referred to by the same term
including: The compactness measure of a shape In statistics: The shape parameter, sometimes referred to as the shape factor, of some probability distributions
Shape_factor
Probability distribution
continuous probability distributions on the real line. Both families add a shape parameter to the normal distribution. To distinguish the two families, they are
Generalized normal distribution
Generalized_normal_distribution
Feature observed in spectroscopy
line shapes include Lorentzian, Gaussian and Voigt functions, whose parameters are the line position, maximum height and half-width. Actual line shapes are
Spectral_line_shape
Family of continuous probability distributions
p {\displaystyle p} ) can serve as a scale parameter, so a proper (i.e., unscaled) shape parameter would be any non-zero power of φ = λ / μ {\displaystyle
Inverse_Gaussian_distribution
Set of values that describe the polarization state of electromagnetic radiation
total intensity (I), (fractional) degree of polarization (p), and the shape parameters of the polarization ellipse. The effect of an optical system on the
Stokes_parameters
Local and global geometry of the universe
to find the shape of space': scientists wonder if the universe is like a doughnut". The Guardian. Retrieved 25 May 2026. "Density Parameter, Omega". hyperphysics
Shape_of_the_universe
Concept in statistics
distribution has exponential tails and a Pareto distribution has long tails. Shape parameter List of probability distributions Yule, G.U., Kendall, M.G. (1950)
Shape of a probability distribution
Shape_of_a_probability_distribution
Concept in statistics
the right, maintaining its exact shape. A location parameter can also be found in families having more than one parameter, such as location–scale families
Location_parameter
Technique for the characterisation of crystalline materials
of many free parameters, including peak shape, unit cell dimensions and coordinates of all atoms in the crystal structure. Other parameters can be guessed
Rietveld_refinement
Probability distribution
\Gamma \left(N,{\frac {1}{2\sigma ^{2}}}\right)} with integer shape parameter N and rate parameter 1 2 σ 2 . {\displaystyle {\frac {1}{2\sigma ^{2}}}.} [ Y
Rayleigh_distribution
Family of probability distributions related to the normal distribution
Weibull distribution with fixed shape parameter k is an exponential family. Unlike in the previous examples, the shape parameter does not affect the support;
Exponential_family
Probability distribution
_{i}X_{i}\sim } Erlang(k, λ) = Gamma(k, λ) with integer shape parameter k and rate parameter λ. If T = ( X 1 + ⋯ + X n ) = ∑ i = 1 n X i {\displaystyle
Exponential_distribution
Mathematical function having a characteristic S-shaped curve or sigmoid curve
1 {\displaystyle \alpha <1} and β < 1 {\displaystyle \beta <1} are shape parameters. Smooth transition function normalized to (−1,1): f ( x ) = { 2 1 +
Sigmoid_function
Probability distribution
X, and α is a positive parameter. The type I Pareto distribution is characterized by a scale parameter xm and a shape parameter α, which is known as the
Pareto_distribution
Conventional name of the gamma distribution when applied to macromolecular polydispersity
Schulz and in 1948 by Bruno H. Zimm. This distribution has only a shape parameter k, the scale being fixed at θ=1/k. Accordingly, the probability density
Schulz–Zimm_distribution
Stochastic process for effort or wear
represents the time from 0. The shape parameter γ {\displaystyle \gamma } (inversely) controls the jump size, and the rate parameter λ {\displaystyle \lambda
Gamma_process
Topics referred to by the same term
instrument onboard propulsion module of Chandrayaan-3 shape parameter a kind of numerical parameter for a parametric family of probability distributions
Shape_(disambiguation)
Continuous probability distribution for a non-negative random variable
is also the median of the distribution. The parameter β > 0 {\displaystyle \beta >0} is a shape parameter. The distribution is unimodal when β > 1 {\displaystyle
Log-logistic_distribution
Probability distribution
two shape parameters (and a scale parameter). It is a generalization of the gamma distribution which has one shape parameter (and a scale parameter). Since
Generalized gamma distribution
Generalized_gamma_distribution
Continuous probability distribution
}}~x>0~.} where α > 0 is a shape parameter. It can be generalised to include a location parameter m (the minimum) and a scale parameter s > 0 with the cumulative
Fréchet_distribution
Probability distribution
depending on the author, either the parameter r or its reciprocal α is referred to as the "dispersion parameter", "shape parameter" or "clustering coefficient"
Negative binomial distribution
Negative_binomial_distribution
This page describes some of the parameters used to characterize the thickness and shape of boundary layers formed by fluid flowing along a solid surface
Boundary_layer_thickness
Parameters that define a specific orbit
Other parameters can also be used to describe the size and shape of an orbit, such as the linear eccentricity, flattening, and focal parameter, but the
Orbital_elements
as an extension of the Weibull family obtained by adding a second shape parameter. The cumulative distribution function for the exponentiated Weibull
Exponentiated Weibull distribution
Exponentiated_Weibull_distribution
Statistical distribution
Nakagami distributions has two parameters: a shape parameter m ≥ 1 / 2 {\displaystyle m\geq 1/2} and a scale parameter Ω > 0 {\displaystyle \Omega >0}
Nakagami_distribution
Generalization of gamma distribution to multiple dimensions
shown that the Wishart distribution can be defined if and only if the shape parameter n belongs to the set Λ p := { 0 , … , p − 1 } ∪ ( p − 1 , ∞ ) . {\displaystyle
Wishart_distribution
Name for several different families of probability distributions
distribution, with support x ∈ R {\displaystyle x\in \mathbb {R} } and shape parameters α , β > 0 {\displaystyle \alpha ,\beta >0} , has (as shown above) the
Generalized logistic distribution
Generalized_logistic_distribution
1997 studio album by Foo Fighters
The Colour and the Shape is the second studio album by American rock band Foo Fighters, released on May 20, 1997, by Roswell and Capitol Records. It was
The_Colour_and_the_Shape
Topic in probability theory and statistics
with shape parameter k = 1 and rate parameter β is an exponential distribution with rate parameter β. A beta distribution with shape parameters α = β
Relationships among probability distributions
Relationships_among_probability_distributions
Dimensionless measure in cosmology
The deceleration parameter q {\displaystyle q} in cosmology is a dimensionless measure of the cosmic acceleration of the expansion of space in a
Deceleration_parameter
Heavy-tail probability distribution
}}\right)^{-(\alpha +1)},\qquad x\geq 0,} with shape parameter α > 0 {\displaystyle \alpha >0} and scale parameter λ > 0 {\displaystyle \lambda >0} . The density
Lomax_distribution
Comparison of two distributions
graphical means of estimating parameters in a location-scale family of distributions. A Q–Q plot is used to compare the shapes of distributions, providing
Q–Q_plot
distribution, which is a special case of the gamma distribution with integral shape parameter, developed to predict waiting times in queuing systems The inverse-gamma
List of probability distributions
List_of_probability_distributions
Three-parameter family of continuous probability distributions
gamma distributions is used, such that the parameters are: the mean of the distribution, the usual shape parameter. K-distribution is a special case of variance-gamma
K-distribution
Type of mathematical function
distribution if both shape parameters are ≥ 1, and the Weibull distribution if the shape parameter is ≥ 1. Note that all of the parameter restrictions have
Logarithmically concave function
Logarithmically_concave_function
Symmetric probability distribution
single shape parameter, λ, and as with other probability distributions, it can be transformed with a location parameter, μ, and a scale parameter, σ. Since
Tukey_lambda_distribution
(concentration, asymmetry, smoothness) parameters are a tool originally developed in astronomy to characterize the shapes and images of objects with some central
CAS_parameters
Discrete probability distribution
1)} is the quantile function of a gamma distribution with shape parameter n and scale parameter 1. This interval is 'exact' in the sense that its coverage
Poisson_distribution
Probability distribution
X | ) = γ {\displaystyle \operatorname {median} (|X|)=\gamma } the shape parameter. Cauchy ( 0 , 1 ) ∼ t ( d f = 1 ) {\displaystyle \operatorname {Cauchy}
Cauchy_distribution
Probability distribution and special case of gamma distribution
=2)} (where α {\displaystyle \alpha } is the shape parameter and θ {\displaystyle \theta } the scale parameter of the gamma distribution) and X ∼ W 1 ( 1
Chi-squared_distribution
Alloy which returns to a preset shape when heated
of Shape Memory Alloys, Elsevier, pp. 130–136, doi:10.1016/b978-0-7506-1009-4.50015-9, ISBN 978-0-7506-1009-4{{citation}}: CS1 maint: work parameter with
Shape-memory_alloy
Probability distribution
known as a Pareto Type II distribution, with shape parameter α {\displaystyle \alpha } and scale parameter λ {\displaystyle \lambda } , then X λ ∼ β ′
Beta_prime_distribution
Statistical principle about ratio of effects to causes
where x m {\displaystyle x_{m}} is the scale parameter and α {\displaystyle \alpha } is the shape parameter. The x variable will represent wealth in (e
Pareto_principle
Fourth standardized moment in statistics
{x}{a}}\right)^{2}\right]^{-m},} where a is a scale parameter and m is a shape parameter. All densities in this family are symmetric. The k-th moment
Kurtosis
Kurtosis of the order parameter in statistical physics
at the critical point, the value of the Binder parameter depends on boundary conditions, the shape of the system, and anisotropy of correlations. A
Binder_parameter
Probability distribution
distribution with four shape parameters, including more than thirty named distributions as limiting or special cases. A fifth parameter for scaling is sometimes
Generalized_beta_distribution
Type of mathematical function
_{i}\right\|} and using ε {\textstyle \varepsilon } to indicate a shape parameter that can be used to scale the input of the radial kernel): Infinitely
Radial_basis_function
Software for generating geometric shapes
stages. Parametric shape grammars are an extension of shape grammars. The new shape in the RHS of the shape rule is defined by parameters so that it can take
Shape_grammar
Area of mathematics
changes of the behaviour of the system. However, examined in a larger parameter space, catastrophe theory reveals that such bifurcation points tend to
Catastrophe_theory
coefficient (PPCC) plot is a graphical technique for identifying the shape parameter for a distributional family that best describes the data set. This
Probability plot correlation coefficient plot
Probability_plot_correlation_coefficient_plot
General shape of a human body
Human body shape is a complex phenomenon with sophisticated detail and function. The general shape or figure of a person is defined mainly by the molding
Body_shape
Theory in statistics
{\displaystyle \mu } , scale parameter θ {\displaystyle \theta } and a shape parameter k {\displaystyle k} . The probability density function (pdf) of the
Normal-exponential-gamma distribution
Normal-exponential-gamma_distribution
Middle quantile of a data set or probability distribution
rate parameter λ is the natural logarithm of 2 divided by the rate parameter: λ−1ln 2. The median of a Weibull distribution with shape parameter k and
Median
Software design pattern
Shape : public AbstractShape { protected: // We make clear Shape class needs to be inherited Shape() = default; Shape(const Shape&) = default; Shape(Shape&&)
Curiously recurring template pattern
Curiously_recurring_template_pattern
Two-parameter family of continuous probability distributions
)}}(1/x)^{\alpha +1}\exp \left(-\beta /x\right)} with shape parameter α {\displaystyle \alpha } and scale parameter β {\displaystyle \beta } . Here Γ ( ⋅ ) {\displaystyle
Inverse-gamma_distribution
Dimensionless measure of a porous material's permeability
parameters N o {\displaystyle N_{\mathit {o}}} and N w {\displaystyle N_{\mathit {w}}} are called curve shape parameters or simply shape parameters,
Relative_permeability
System for describing queueing models
of parameter λ. The second M means that the service time is Markovian: it follows an exponential distribution of parameter μ. The last parameter is the
Kendall's_notation
Mathematical model of the Big Bang
model is based on six parameters: baryon density parameter; dark matter density parameter; scalar spectral index; two parameters related to curvature fluctuation
Lambda-CDM_model
Object categorization problem
then clustered, yielding a number of features (the clusters) and the shape parameter X {\displaystyle X} , composed of the cluster centers. The Kadir–Brady
One-shot learning (computer vision)
One-shot_learning_(computer_vision)
Distributional regression model
(target) variable but the parameters of this distribution can vary according to explanatory variables. Therefore the shape of this distribution for the
Generalized additive model for location, scale and shape
Generalized_additive_model_for_location,_scale_and_shape
Statistical indicators in signal processing
indicates the similarity of the shape of the signal to a pure sine wave. Since the calculation of the Hjorth parameters is based on variance, the computational
Hjorth_parameters
Family of continuous probability distributions
\lambda \geq 0,} The parameter k is called the shape parameter, and the parameter λ {\displaystyle \lambda } is called the rate parameter. An alternative,
Erlang_distribution
Family of closed mathematical curves
and n is a positive parameter that defines the shape. When n = 2, the superellipse is an ordinary ellipse. For n > 2, the shape is more rectangular with
Superellipse
Inverse of the average of the inverses of a set of numbers
H=k\left(1+{\frac {1}{\alpha }}\right)} where k is the scale parameter and α is the shape parameter. For a random sample, the harmonic mean is calculated as
Harmonic_mean
Study of relationship of energy with formation of micelles
solvent. The shape of a micelle is directly dependent on the packing parameter of the surfactant. Surfactants with a packing parameter of N S {\displaystyle
Thermodynamics of micellization
Thermodynamics_of_micellization
Shape
operate with various modifications of oval shapes when a unit length (L = 1) is used, and the oval parameters are presented as their combinations conventionally
Oval
Type of scattering resonance
an asymmetric line-shape. Interference between a background and a resonant scattering process produces the asymmetric line-shape. It is named after Italian-American
Fano_resonance
Polyhedron with eight triangular faces
Futamura, F.; Frantz, M.; Crannell, A. (2014). "The cross ratio as a shape parameter for Dürer's solid". Journal of Mathematics and the Arts. 8 (3–4): 111–119
Octahedron
Set of electromechanical parameters
Thiele/Small parameters (commonly abbreviated T/S parameters, or TSP) are a set of electromechanical parameters that define the specified low frequency
Thiele/Small_parameters
Plane curve
the variable names x {\displaystyle x} and y {\displaystyle y} and the parameter names a {\displaystyle a} and b . {\displaystyle b.} This is the distance
Ellipse
force caused by the spherical shape of the Earth. It is important in the generation of Rossby waves. The Rossby parameter β {\displaystyle \beta } is given
Rossby_parameter
Statistical quantity
S={\frac {2}{\beta ^{2}(4+5\alpha ^{2})}}} where α is the shape parameter and β is the location parameter. Cantor distribution: despite the distribution being
Nonparametric_skew
Continuous probability distribution, named after Benjamin Gompertz
0 {\displaystyle b>0\,\!} is the scale parameter and η > 0 {\displaystyle \eta >0\,\!} is the shape parameter of the Gompertz distribution. In the actuarial
Gompertz_distribution
Concept in celestial mechanics
gravitational parameter μ of a celestial body is the product of the gravitational constant G and the mass M of that body. For two bodies, the parameter may be
Standard gravitational parameter
Standard_gravitational_parameter
Size and shape used to model the Earth for geodesy
In geodesy, the figure of the Earth is the size and shape used to model planet Earth. The kind of figure depends on application, including the precision
Figure_of_the_Earth
Concept in chemistry
Hansen solubility parameters were developed by Charles M. Hansen in his Ph.D thesis in 1967 as a way of predicting if one material will dissolve in another
Hansen_solubility_parameter
Equations in physical cosmology
The first Friedmann equation contains the discrete parameter k, the value of which determines the shape of the universe: +1 is a 3-sphere, the universe is
Friedmann_equations
Observation in physical cosmology
Hubble constant H0 is constant at any given moment in time, the Hubble parameter H, of which the Hubble constant is the current value, varies with time
Hubble's_law
Materials that can retain several shapes
light. By taking advantage of the polymer's shape memory effect, it is possible to reprogram the lattice parameter of the structure and consequently tune its
Shape-memory_polymer
Quadrilateral symmetric across a diagonal
perimeter to diameter is a kite, with 60°, 75°, and 150° angles. Kites of two shapes (one convex and one non-convex) form the prototiles of one of the forms
Kite_(geometry)
"Matching with Shape Contexts" in 2000. The shape context is intended to be a way of describing shapes that allows for measuring shape similarity and
Shape_context
Phenomenon in nanoscale materials
{c}{zd}}\right)} Where: c=materials constant z=shape parameter of particle The shape parameter is 1 for a sphere and 3/2 for a very long wire, indicating
Melting-point_depression
Signal processing algorithm
of the word "open", computed using a 54.4 ms Kaiser window with a shaping parameter of 9, emphasizing harmonics. Short-window reassigned spectrogram of
Reassignment_method
Information Retrieval Metric
k>0} is the shape parameter and λ > 0 {\displaystyle \lambda >0} is the scale parameter. Research has demonstrated that the shape parameter k {\displaystyle
Dwell time (information retrieval)
Dwell_time_(information_retrieval)
Family of geometric shapes
parameters ϵ 1 {\displaystyle \epsilon _{1}} and ϵ 2 {\displaystyle \epsilon _{2}} are positive real numbers that control the squareness of the shape
Superellipsoid
Properties of a thermal boundary layer
included in this boundary layer description are some parameters useful in describing the shape of the thermal boundary layer. The thermal boundary layer
Thermal boundary layer thickness and shape
Thermal_boundary_layer_thickness_and_shape
Statistical model for count data
quasi-Poisson overdispersion parameter, and κ is the shape parameter of the negative binomial distribution. For both models, parameters are estimated using iteratively
Poisson_regression
Problem in recreational mathematics
a problem of constructing a planar curve in the shape of an elephant from only four fixed parameters. It originated from a discussion between physicists
Von_Neumann's_elephant
Method of representing curves and surfaces in computer graphics
interaction. NURBS surfaces are functions of two parameters mapping to a surface in three-dimensional space. The shape of the surface is determined by control
Non-uniform_rational_B-spline
gyration tensor. The principal moments can be combined to give several parameters that describe the distribution of particles. The squared radius of gyration
Gyration_tensor
Technique for setting initial values of trainable parameters in a neural network
initialization or parameter initialization describes the initial step in creating a neural network. A neural network contains trainable parameters that are modified
Weight_initialization
SHAPE PARAMETER
SHAPE PARAMETER
Boy/Male
Tamil
Shape
Male
English
Variant spelling of English unisex Shea, possibly SHAYE means "hawk-like."
Girl/Female
Hindu, Indian, Tamil, Telugu
Shape
Boy/Male
Tamil
Shape
Girl/Female
Hindu, Indian
Shape
Girl/Female
Tamil
Shape
Surname or Lastname
English
English : topographic name from Middle English slape ‘slippery, miry place’, or a habitational name from any of the places named with this word (Old English slǣp), as for example Slape in Dorset or Sleap in Shropshire.
Male
English
Anglicized form of Irish Gaelic Seán, SHANE means "God is gracious."
Boy/Male
Hindu, Indian
Shape
Surname or Lastname
English and Scottish
English and Scottish : habitational name from any of various places in England and southern Scotland, for example in North Yorkshire near Bedale, in the Lowlands near Biggar, and in Suffolk, so named with Old English snæp ‘area of boggy land’. In Sussex the dialect term snape is still used of boggy, uncultivable land.
Female
English
Feminine variant spelling of English unisex Shea, probably SHAE means "hawk-like."Â
Girl/Female
Hindu, Indian, Tamil, Telugu
Shape
Boy/Male
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Tamil
Shape
Boy/Male
Hindi
Shape.
Girl/Female
Tamil
Shape
Girl/Female
Indian, Punjabi, Sikh
Shape
Girl/Female
Indian
Shape
Girl/Female
Gujarati, Hindu, Indian, Sikh
Shape
Boy/Male
Irish
Irish form of John meaning “â€God’s gracious gift.â€â€ Shane is a very popular variant of the name in Northern Ireland in memory of Shane O’Neill whose forces won notable victories over the armies of Queen Elizabeth 1st in the sixteenth century.
Boy/Male
Hindu, Indian
Shape
SHAPE PARAMETER
SHAPE PARAMETER
Boy/Male
Greek
A sea god.
Boy/Male
Australian, French, Hebrew
Quick; Joyful; A Biblical Name
Boy/Male
Sikh
Attaining peace through the word Guru
Boy/Male
Hindu, Indian, Telugu
Bestower of Eternal Bliss
Boy/Male
British, English
Council Friend
Girl/Female
British, English, Latin
Laurel Tree; Sweet Bay Tree
Male
Polish
Polish form of Russian Svyatopolk, ÅšWIĘTOPEÅK means "blessed people."
Boy/Male
Arabic, Muslim
Name of Prophet
Girl/Female
Australian, German, Turkish
You are Unique
Girl/Female
Indian
SHAPE PARAMETER
SHAPE PARAMETER
SHAPE PARAMETER
SHAPE PARAMETER
SHAPE PARAMETER
a.
Having the shape of a wedge; cuneiform.
a.
Having the form or shape of a kidney; reniform; as, a kidney-shaped leaf.
imp.
of Shape
a.
Having the shape of an urn; as, the urn-shaped capsules of some mosses.
p. p.
of Shape
n.
One who shapes; as, the shaper of one's fortunes.
a.
Having the shape of a top; (Bot.) cone-shaped, with the apex downward; turbinate.
n.
To be ashamed; to feel shame.
a.
Having the shape of a spindle.
a.
Of a linear shape.
n.
Character or construction of a thing as determining its external appearance; outward aspect; make; figure; form; guise; as, the shape of a tree; the shape of the head; an elegant shape.
a.
Shaped like a strap; ligulate; as, a strap-shaped corolla.
a.
Having the shape of a horn; horn-shaped.
a.
Having the shape of a wide-mouthed bell; campanulate.
n.
To adapt to a purpose; to regulate; to adjust; to direct; as, to shape the course of a vessel.