probability theory and statistics, the Hermite distribution, named after Charles Hermite, is a discrete probability distribution used to model count data with...

Hermite class Hermite differential equation Hermite distribution, a parametrized family of discrete probability distributions Hermite–Lindemann theorem...

Exponential distribution Gamma distribution Hermite distribution Index of dispersion Negative binomial distribution Poisson clumping Poisson point process...

In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: signal processing as Hermitian wavelets...

theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable...

Hermite distribution The logarithmic (series) distribution The mixed Poisson distribution The negative binomial distribution or Pascal distribution,...

Poisson distribution of order r {\displaystyle r} . When r = 1 , 2 {\displaystyle r=1,2} , DCP becomes Poisson distribution and Hermite distribution, respectively...

statistician known for her work on discrete probability distributions including the Hermite distribution. Kemp received a bachelor's degree in mathematics with...

Tierra del Fuego is also home to the lizard with the world's southernmost distribution, Liolaemus magellanicus. North American beavers, introduced during the...

} where H m {\displaystyle H_{m}} is the m {\displaystyle m} -th Hermite polynomial. From the above definition of the Wigner function, upon a change...

solutions of the paraxial Helmholtz equation can be decomposed as the sum of Hermite–Gaussian modes (whose amplitude profiles are separable in x and y using...

named after Charles Hermite Hermite constant, in mathematics Hermite distribution, in probability theory and statistics Hermite interpolation, in numerical...

{1-\rho ^{2}}}.} The complex distribution has also been expressed with Kummer's confluent hypergeometric function or the Hermite function. This was shown...

and cumulative distribution function in univariate and bivariate cases. Bivariate Hermite series density estimators and univariate Hermite series based...

\iff \quad A=A^{\mathsf {H}}} Hermitian matrices are named after Charles Hermite, who demonstrated in 1855 that matrices of this form share a property with...

of discrete and continuous wavelets used in the constant and discrete Hermite wavelet transforms. The n th {\displaystyle n^{\textrm {th}}} Hermitian...

group in organic chemistry and biochemistry; see Alpha and beta carbon Hermite constant The Euler’s Constant also known as Euler–Mascheroni constant ≈...

choice of an orthonormal basis for L2(R) and are given by the "physicist's" Hermite functions. Equivalently one may use ψ n ( x ) = 2 4 n ! e − π x 2 H e n...

and showed, in modernized notation, that it can be expanded in terms of Hermite polynomials H ( ⋅ ) {\displaystyle H(\cdot )} based on weight function...

of such algorithms such as those based on stochastic approximation or Hermite series estimators. These statistics based algorithms typically have constant...

using Hermite functions. For unit variance, the n-th derivative of the Gaussian is the Gaussian function itself multiplied by the n-th Hermite polynomial...

actuarial science, the Benini distribution is a continuous probability distribution that is a statistical size distribution often applied to model incomes...

dt\right)\geq 0} for n = 0,1,2,..., and all p > 0. Here H2n denotes the Hermite polynomial of degree 2n. Pólya’s theorem. If φ {\displaystyle \varphi }...

basis function orthogonal w.r.t. the Gaussian distribution are the set of i {\displaystyle i} -th degree Hermite polynomials H i {\displaystyle H_{i}} . The...

Gaussian laser mode can be equivalently described as a superposition of Hermite-Gaussian modes or Laguerre-Gaussian modes which are described below). Modes...

out that there is a family of solutions. In this basis, they amount to Hermite functions, ψ n ( x ) = 1 2 n n ! ( m ω π ℏ ) 1 / 4 e − m ω x 2 2 ℏ H n...

of the Gaussian function ϕ {\displaystyle \phi } is given in terms of Hermite polynomial as ϕ ( n ) ( x ) = ( − 1 ) n σ n H e n ( x − μ σ ) ϕ ( x ) ...

both there and at the École Polytechnique. His teachers included Tannery, Hermite, Darboux, Appell, Goursat, and Picard. He obtained his doctorate in 1892...

an analog of a Gauss sum Quadratic Gauss sum Gaussian quadrature Gauss–Hermite quadrature Gauss–Jacobi quadrature Gauss–Kronrod quadrature formula Gauss–Newton...

(QBER). Another promising route for high-dimensional QKD is the use of Hermite–Gaussian (HG) spatial modes, which form a complete orthogonal basis in...