• Thumbnail for Inverse transform sampling
    Inverse transform sampling (also known as inversion sampling, the inverse probability integral transform, the inverse transformation method, or the Smirnov...
    16 KB (2,085 words) - 15:15, 3 August 2025
  • Thumbnail for Box–Muller transform
    functions. The Box–Muller transform was developed as a more computationally efficient alternative to the inverse transform sampling method. The ziggurat algorithm...
    15 KB (2,086 words) - 21:16, 4 August 2025
  • {\displaystyle s_{_{N}}} sequence is the inverse DFT. Thus, our sampling of the DTFT causes the inverse transform to become periodic. The array of | S k...
    40 KB (5,076 words) - 15:50, 30 May 2025
  • (number theory) Information bottleneck method Inverse chain rule method (calculus) Inverse transform sampling method (probability) Iterative method (numerical...
    3 KB (238 words) - 18:31, 29 August 2024
  • distribution to have a selected distribution: this is known as inverse transform sampling. Suppose that a random variable X {\displaystyle X} has a continuous...
    5 KB (893 words) - 13:04, 24 May 2025
  • Thumbnail for Continuous uniform distribution
    uniform distribution is useful for sampling from arbitrary distributions. A general method is the inverse transform sampling method, which uses the cumulative...
    28 KB (4,227 words) - 23:30, 5 April 2025
  • cosine transform is the type-II DCT, which is often called simply the DCT. This was the original DCT as first proposed by Ahmed. Its inverse, the type-III...
    101 KB (11,964 words) - 19:07, 9 August 2025
  • }{{}={}}}e^{sT},} where T = 1/fs is the sampling interval (in units of time e.g., seconds) and fs is the sampling rate (in samples per second or hertz). Let Δ T...
    76 KB (9,705 words) - 16:55, 9 August 2025
  • zero as the number of iterations grows). Inverse transform sampling Ratio of uniforms Pseudo-random number sampling Ziggurat algorithm Casella, George; Robert...
    26 KB (4,455 words) - 07:44, 3 August 2025
  • Thumbnail for Discrete Fourier transform
    left and right halves of the result of the transform. The inverse transform is given by: Inverse transform Eq.2. is also N {\displaystyle N} -periodic...
    76 KB (12,334 words) - 06:22, 9 August 2025
  • Thumbnail for Cumulative distribution function
    {\displaystyle F} . This is used in random number generation using the inverse transform sampling-method. If { X α } {\displaystyle \{X_{\alpha }\}} is a collection...
    26 KB (4,102 words) - 15:11, 7 August 2025
  • Inverse method may refer to: The inverse transform sampling method The inverse method in automated reasoning This disambiguation page lists articles associated...
    188 bytes (48 words) - 20:35, 28 December 2019
  • Thumbnail for Fourier transform
    theorem, i.e., Inverse transform The functions f {\displaystyle f} and f ^ {\displaystyle {\widehat {f}}} are referred to as a Fourier transform pair.  A common...
    177 KB (21,320 words) - 01:08, 9 August 2025
  • Thumbnail for Quantile function
    suitable series for live Monte Carlo use. Inverse transform sampling Percentage point Probability integral transform Quantile Rank–size distribution Ehm, W...
    17 KB (2,217 words) - 11:33, 12 July 2025
  • tracking system, computer software that manages product issues Inverse transform sampling, a method for generating random numbers from various probability...
    4 KB (509 words) - 20:16, 22 December 2024
  • Thumbnail for Exponential distribution
    divergence for all sample sizes n > 0. A conceptually very simple method for generating exponential variates is based on inverse transform sampling: Given a random...
    47 KB (7,092 words) - 03:21, 28 July 2025
  • Z-transform can be computed in O(n log n) operations where n = max ( M , N ) n=\max(M,N) . An O(N log N) algorithm for the inverse chirp Z-transform (ICZT)...
    11 KB (1,570 words) - 14:53, 4 August 2025
  • Thumbnail for Short-time Fourier transform
    transform is called the "Gabor transform". It can also be explained with reference to the sampling and Nyquist frequency. Take a window of N samples from...
    22 KB (4,046 words) - 13:46, 21 July 2025
  • Thumbnail for Poisson distribution
    for large values of λ include rejection sampling and using Gaussian approximation. Inverse transform sampling is simple and efficient for small values...
    83 KB (11,402 words) - 14:58, 10 August 2025
  • Thumbnail for Gamma distribution
    distributed on (0, 1], then −ln U is distributed Gamma(1, 1) (i.e. inverse transform sampling). Now, using the "α-addition" property of gamma distribution,...
    66 KB (9,095 words) - 06:11, 7 July 2025
  • Thumbnail for Nyquist–Shannon sampling theorem
    Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate required...
    51 KB (6,838 words) - 02:04, 23 June 2025
  • Thumbnail for Discrete wavelet transform
    discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled. As with other wavelet transforms, a key advantage...
    36 KB (5,217 words) - 22:32, 16 July 2025
  • Wei-Qiang; Wang, Yue (2008). "Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain". IEEE Transactions...
    27 KB (3,937 words) - 19:50, 9 August 2025
  • Thumbnail for Fast Fourier transform
    Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). A Fourier transform converts...
    67 KB (7,809 words) - 14:47, 29 July 2025
  • properties of Z-transforms (listed in § Properties) have useful interpretations in the context of probability theory. The inverse Z-transform is: x [ n ]...
    43 KB (5,653 words) - 14:50, 27 July 2025
  • Thumbnail for Lévy distribution
    (folded normal distribution). Random samples from the Lévy distribution can be generated using inverse transform sampling. Given a random variate U drawn from...
    10 KB (1,371 words) - 22:22, 14 April 2024
  • number sampling, that is, for drawing random samples from a statistical distribution. Like rejection sampling and inverse transform sampling, it is an...
    13 KB (2,454 words) - 14:51, 18 July 2025
  • Thumbnail for Sampling (signal processing)
    {\displaystyle T} seconds, which is called the sampling interval or sampling period. Then the sampled function is given by the sequence: s ( n T ) {\displaystyle...
    31 KB (3,139 words) - 11:47, 27 June 2025
  • Thumbnail for Gabor transform
    The Gabor transform, named after Dennis Gabor, is a special case of the short-time Fourier transform. It is used to determine the sinusoidal frequency...
    10 KB (1,518 words) - 01:12, 2 July 2025
  • mathematics, the discrete sine transform (DST) is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using a purely real...
    14 KB (2,049 words) - 22:40, 2 August 2025