• mathematics, a Bessel process, named after Friedrich Bessel, is a type of stochastic process. The Bessel process of order n is the real-valued process X given...
    3 KB (347 words) - 00:23, 19 June 2024
  • statistics, diffusion processes are a class of continuous-time Markov process with almost surely continuous sample paths. Diffusion process is stochastic in...
    5 KB (1,102 words) - 22:43, 13 April 2025
  • Thumbnail for Bessel function
    Bessel functions, named after Friedrich Bessel who was the first to systematically study them in 1824, are canonical solutions y(x) of Bessel's differential...
    76 KB (12,307 words) - 04:25, 4 June 2025
  • every stationary process in N outcomes is a Bernoulli scheme, and vice versa. Bessel process Birth–death process Branching process Branching random walk...
    5 KB (407 words) - 21:21, 25 August 2023
  • statistics, econometrics, and signal processing, an autoregressive (AR) model is a representation of a type of random process; as such, it can be used to describe...
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  • Thumbnail for Graphite
    first steps toward the future flotation process. Adolph Bessel received the Wohler Medal for the patented process that upgraded the recovery of graphite...
    76 KB (8,694 words) - 11:09, 29 May 2025
  • Bessel may refer to: Bessel beam Bessel ellipsoid Bessel function in mathematics Bessel's inequality in mathematics Bessel's correction in statistics Bessel...
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  • f(r) as the weighted sum of an infinite number of Bessel functions of the first kind Jν(kr). The Bessel functions in the sum are all of the same order ν...
    26 KB (4,204 words) - 21:10, 3 February 2025
  • In electronics and signal processing, a Bessel filter is a type of analog linear filter with a maximally flat group delay (i.e., maximally linear phase...
    18 KB (2,911 words) - 00:23, 24 May 2025
  • Thumbnail for Marc Yor
    work on stochastic processes, especially properties of semimartingales, Brownian motion and other Lévy processes, the Bessel processes, and their applications...
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  • In statistics, Bessel's correction is the use of n − 1 instead of n in the formula for the sample variance and sample standard deviation, where n is the...
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  • Poisson process are examples of Feller processes. More generally, every Lévy process is a Feller process. Bessel processes are Feller processes. Solutions...
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  • Thumbnail for Kaiser window
    The Kaiser window, also known as the Kaiser–Bessel window, was developed by James Kaiser at Bell Laboratories. It is a one-parameter family of window functions...
    8 KB (983 words) - 11:56, 8 April 2024
  • (1975). "One-dimensional Brownian motion and the three-dimensional Bessel process". Advances in Applied Probability. 7 (3): 511–526. doi:10.2307/1426125...
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  • statistics, a continuous-time stochastic process, or a continuous-space-time stochastic process is a stochastic process for which the index variable takes a...
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  • Gaussian random field (category Spatial processes)
    functions of the variables. A one-dimensional GRF is also called a Gaussian process. An important special case of a GRF is the Gaussian free field. With regard...
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  • noise fluctuations. Moreover, K ν {\displaystyle K_{\nu }} is the modified Bessel function of order ν {\displaystyle \nu } and Γ ( ν ) {\displaystyle \Gamma...
    44 KB (5,929 words) - 11:10, 3 April 2025
  • Thumbnail for Froth flotation
    1877 the brothers Bessel (Adolph and August) of Dresden, Germany, introduced their commercially successful oil and froth flotation process for extracting...
    50 KB (6,522 words) - 01:26, 11 April 2025
  • inequality Bessel potential Bessel potential spaces Bessel process Bessel beam Bessel filter Bessel function Bessel–Maitland function Incomplete Bessel functions...
    1 KB (90 words) - 17:41, 20 March 2022
  • In mathematics, especially functional analysis, Bessel's inequality is a statement about the coefficients of an element x {\displaystyle x} in a Hilbert...
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  • {\displaystyle \max(F_{T}-K,\;0)} under the probability distribution of the process F t {\displaystyle F_{t}} . Except for the special cases of β = 0 {\displaystyle...
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  • Thumbnail for Polling system
    and suitably scaled system if switching servers is immediate and a Bessel process when switching servers takes time. Polling systems have been used to...
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    Local time (mathematics) (category Stochastic processes)
    and equality is in distribution on C[0, a]. The process |Wx|2 is known as the squared Bessel process. Let (Bt)t ≥ 0 be a standard one-dimensional Brownian...
    9 KB (1,315 words) - 21:13, 12 August 2023
  • Fourier–Bessel series is a particular kind of generalized Fourier series (an infinite series expansion on a finite interval) based on Bessel functions...
    14 KB (2,347 words) - 16:06, 7 December 2024
  • Thumbnail for Yield curve
    parameters in the Ornstein–Uhlenbeck process), the Cox–Ingersoll–Ross model, which is a modified Bessel process, and the Heath–Jarrow–Morton framework...
    45 KB (5,739 words) - 18:46, 22 April 2025
  • order to compute hitting times for processes other than Brownian motions. For example, hitting times of Bessel processes can be computed via an algorithm...
    15 KB (2,122 words) - 02:37, 27 August 2023
  • Berry–Esseen theorem Bertrand's ballot theorem Bertrand's box paradox Bessel process Bessel's correction Best linear unbiased prediction Beta (finance) Beta-binomial...
    87 KB (8,280 words) - 23:04, 12 March 2025
  • the Bessel function of the first kind, and θ the mean used in poissonization. This serves as an example of a well-defined determinantal point process with...
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  • Lifter (signal processing) Noise reduction Sallen–Key topology Smoothing Multiplier (Fourier analysis) Richard Markell. '"Better than Bessel" Linear Phase...
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  • Thumbnail for Window function
    the DPSS windows: The Kaiser, or Kaiser–Bessel, window is a simple approximation of the DPSS window using Bessel functions, discovered by James Kaiser....
    74 KB (8,870 words) - 03:58, 3 June 2025