In mathematics, in functional analysis, several different wavelets are known by the name Poisson wavelet. In one context, the term "Poisson wavelet" is used to denote a family of wavelets labeled by the set of positive integers, the members of which are associated with the Poisson probability distribution. These wavelets were first defined and studied by Karlene A. Kosanovich, Allan R. Moser and Michael J. Piovoso in 1995–96.[1][2] In another context, the term refers to a certain wavelet which involves a form of the Poisson integral kernel.[3] In still another context, the terminology is used to describe a family of complex wavelets indexed by positive integers which are connected with the derivatives of the Poisson integral kernel.[4]
^Karlene A. Kosanovich, Allan R. Moser and Michael J. Piovoso (1996). "The Poisson wavelet transform". Chemical Engineering Communications. 146 (1): 131–138. doi:10.1080/00986449608936485.
^Karlene A. Kosanovich, Allan R. Moser and Michael J. Piovoso (1997). "A new family of wavelets: the Poisson wavelet transform". Computers in Chemical Engineering. 21 (6): 601–620. doi:10.1016/S0098-1354(96)00294-3.
^Klees, Roland; Haagmans, Roger, eds. (2000). Wavelets in the Geosciences. Berlin: Springer. pp. 18–20.
^Abdul J. Jerri (1998). The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations. Dordrech: Springer Science+Business Media. pp. 222–224. ISBN 978-1-4419-4800-7.
different wavelets are known by the name Poissonwavelet. In one context, the term "Poissonwavelet" is used to denote a family of wavelets labeled by...
continuous wavelets have been invented for various applications: Poissonwavelet Morlet wavelet Modified Morlet wavelet Mexican hat wavelet Complex Mexican...
Negative binomial distribution Poisson clumping Poisson point process Poisson regression Poisson sampling Poissonwavelet Queueing theory Renewal theory...
statistics, Poisson regression is a generalized linear model form of regression analysis used to model count data and contingency tables. Poisson regression...
Wireless Telecommunications Plain White T's, American pop rock band PoissonWavelet Transform Poor White Trash Press Women of Texas Pro Wrestling Tees...
In optics, the Arago spot, Poisson spot, or Fresnel spot is a bright point that appears at the center of a circular object's shadow due to Fresnel diffraction...
In mathematics, the Poisson summation formula is an equation that relates the Fourier series coefficients of the periodic summation of a function to values...
ISBN 978-0-262-18215-7. Cattani, Carlo; Rushchitsky, Jeremiah (2007). Wavelet and Wave Analysis As Applied to Materials With Micro Or Nanostructure....
within density functional theory (DFT), using pseudopotentials, and a wavelet basis. BigDFT implements density functional theory (DFT) by solving the...
Kolaczyk, Eric D.; McCulloch, Robert E. (December 1997). "Adaptive Bayesian Wavelet Shrinkage". Journal of the American Statistical Association. 92 (440):...
statistical models, including linear regression, logistic regression and Poisson regression. They proposed an iteratively reweighted least squares method...
population mean of a Poisson process is the parameter of interest. In this particular case, the parameter governing the Poisson process is allowed to...
the displaced Poisson, the hyper-Poisson, the general Poisson binomial and the Poisson type distributions. The Conway–Maxwell–Poisson distribution, a...
better than any unbiased estimator arises from the Poisson distribution. Suppose that X has a Poisson distribution with expectation λ. Suppose it is desired...
recent work on model-free analyses, wavelet transform based methods (for example locally stationary wavelets and wavelet decomposed neural networks) have...
as in wavelet transforms and chirplet transforms, with the wavelet analog of the (continuous) Fourier transform being the continuous wavelet transform...
generalization of the hypergeometric distribution Poisson distribution, for the number of occurrences of a Poisson-type event in a given period of time Exponential...
of 1 P {\displaystyle {\tfrac {1}{P}}} . That identity is a form of the Poisson summation formula. Similarly, a Fourier series whose coefficients are samples...
include binary logistic regression for binary or dichotomous outcomes, Poisson regression for count outcomes, and linear regression for continuous, normally...
distribution, for continuously distributed values Poisson distribution, for the number of occurrences of a Poisson-type event in a given period of time Exponential...
Global Information