Handbook of Beta Distribution and Its Applications

By Richard J. Cleary. 2006

355 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/7eb1d6603d38af1fe6ec8a6e1323fbdd07ccd9d1

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Citations in the corpus

Evaluating the Feasibility of Eradicating an Invasion (2006, background): “The beta distribution is widely used in numerical work because of its flexibility (Gupta and Nadarajah 2004), its two parameters, a and b, determine its shape and position within the (0, 1) interval.”
Kumaraswamy autoregressive moving average models for double bounded environmental data (2017, background): “Some properties of the Kumaraswamy distribution can be found in Jones (2009), Gupta and Nadarajah (2004), and Mitnik (2013).”
Parameter Estimation for the Beta Distribution (2008, background): “(1.1) The parameters α and β are symmetrically related by f(x|α, β) = f(1− x|β, α); (1.2) that is, if X has a beta distribution with parameters α and β, then 1−X has a beta distribution with parameters β and α (Kotz 2006).”
Mixed and Mixture Regression Models for Continuous Bounded Responses Using the Beta Distribution (2012, background): “In the otherwise exhaustive Handbook of Beta Distributions, there is no mention of beta regression (Gupta & Nadarajah, 2004), although there is a sizeable parallel literature on beta-binomial regression (an early instance is Crowder, 1978), suited to modeling proportions of counts where the beta…”
Mobile Unmanned Aerial Vehicles (UAVs) for Energy-Efficient Internet of Things Communications (2017, neutral): “where [0, T ] is the time interval within which the IoT devices can be active, and B(κ, ω) = ∫ 1 0 tκ−1(1 − t)ω−1dt is the beta function with parameters κ and ω [19].”
The Amoroso Distribution (2010, methodology): “The name “log-gamma” has also been used for the antilog transform of the generalized gamma distribution, which leads to the unit-gamma distribution [18].”
A better lemon squeezer? Maximum-likelihood regression with beta-distributed dependent variables. (2006, background): “Further details about the beta distribution may be found in Gupta and Nadarajah (2004) or Johnson, Kotz, and Balakrishnan (1995). Weisstein (2005) is a particularly convenient resource, and Wolfram Research (2005) has a number of interactive demos.”