Results 31 to 40 of about 1,737,833 (187)

Beta Bessel distributions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
Three new distributions on the unit interval [0, 1] are introduced which generalize the standard beta distribution. These distributions involve the Bessel function. Expression is derived for their shapes, particular cases, and the nth moments. Estimation by the method of maximum likelihood and Bayes estimation are discussed.
Arjun K. Gupta, Saralees Nadarajah
openaire   +2 more sources

Moments of averages of generalized Ramanujan sums

, 2015
Let $\beta$ be a positive integer. A generalization of the Ramanujan sum due to Cohen is given by \begin{align} c_{q,\beta }(n) := \sum\limits_{{{(h,{q^\beta })}_\beta } = 1} {{e^{2\pi inh/{q^\beta }}}}, \nonumber \end{align} where $h$ ranges over the ...
Robles, Nicolas, Roy, Arindam
core   +1 more source

Correlated Binomial Models and Correlation Structures [PDF]

, 2006
We discuss a general method to construct correlated binomial distributions by imposing several consistent relations on the joint probability function.
Bakkaloglu M, Finetti De, Frey R, Goldenfeld N, Kenji Kitsukawa, Masato Hisakado, Mori S Kitsukawa K Hisakado M, Schönbucher P J, Shintaro Mori, Witt G   +9 more
core   +2 more sources

Vere-Jones' Self-Similar Branching Model

, 2005
Motivated by its potential application to earthquake statistics, we study the exactly self-similar branching process introduced recently by Vere-Jones, which extends the ETAS class of conditional branching point-processes of triggered seismicity.
A. Helmstetter, A. Saichev, D. Sornette, G. Sankaranarayanan, V. F. Pisarenko, Y. Ogata   +5 more
core   +1 more source

Attribute Sampling Plan for Submitted Lots Based on Prior Information and Bayesian Approach

Mathematics
An acceptance sampling plan is a method used to make a decision about acceptance or rejection of a product based on adherence to a standard. Meanwhile, prior information, such as the process capability index (PCI), has been applied in different ...
Jing Zhao, Fengyun Zhang, Xuan Zhang, Yuping Hu, Wenxing Ding   +4 more
doaj   +1 more source

The initial mass function modeled by a left truncated beta distribution

, 2013
The initial mass function (IMF) for the stars is usually fitted by three straight lines, which means seven parameters. The presence of brown dwarfs (BD) increases to four the straight lines and to nine the parameters.
Zaninetti, L.
core   +1 more source

Matrix-variate Kummer-Beta distribution [PDF]

Journal of the Australian Mathematical Society, 2002
AbstractThis paper proposes matrix variate generalization of Kummer-Beta family of distributions which has been studied recently by Ng and Kotz. This distribution is an extension of Beta distribution. Its characteristic function has been derived and it is shown that the distribution is orthogonally invariant.
Nagar, Daya K., Gupta, Arjun K.
openaire   +2 more sources

Zero-Inflated Beta Distribution Regression Modeling

Journal of Agricultural, Biological and Environmental Statistics, 2022
A frequent challenge encountered with ecological data is how to interpret, analyze, or model data having a high proportion of zeros. Much attention has been given to zero-inflated count data, whereas models for non-negative continuous data with an abundance of 0s are lacking.
Becky Tang, Henry A. Frye, Alan E. Gelfand, John A. Silander   +3 more
openaire   +3 more sources

Testing Multivariate Normality Based on Beta-Representative Points

Mathematics
Testing multivariate normality in high-dimensional data analysis has been a long-lasting topic in the area of goodness of fit. Numerous methods for this purpose can be found in the literature. Reviews on different methods given by influential researchers
Yiwen Cao, Jiajuan Liang, Longhao Xu, Jiangrui Kang   +3 more
doaj   +1 more source

Universal Conductance Distribution in the Quantum Size Regime

, 1994
We study the conductance (g) distribution function of an ensemble of isolated conducting rings, with an Aharonov--Bohm flux. This is done in the discrete spectrum limit, i.e., when the inelastic rate, frequency and temperature are all smaller than the ...
A Kamenev, Altshuler B L, Altshuler B L, Cf Landauer R, Gorkov L P, Gorkov L P, Imry Y, Kamenev A, Mehta M L, Shapiro B, Shklovskii B I, Shklovskii B I, Y Gefen   +12 more
core   +1 more source