Search · four archives
Search · four archives
25 papers · ranked by Valyu relevance
M. M. Hammad
Statistics provides us with the means to make sense of data, uncover patterns, and draw meaningful conclusions from seemingly complex information. It has applications in a wide range of disciplines, including science, engineering, finance, social sciences, and many others. Meanwhile, Mathematica, a powerful…
Kai-Tai Fang, Yu-Xuan Lin, Yu-Hui Deng, Nikolai Leonenko + 1 more
Statistical modeling is fundamentally based on probability distributions, which can be discrete or continuous and univariate or multivariate. This review focuses on the methods used to construct these distributions, covering both traditional and newly developed approaches. We first examine classic distributions such as…
Lev Gelimson
A general piecewise (including pointwise) probability distribution with space-saving notation and its hierarchical particular cases are considered. The explicit closed-form normalization, expectation, and variance formulas along with the median and mode formulas and algorithms for a general onedimensional piecewise…
Maciej J. Swat, Pierre Grenon, Sarala Wimalaratne
Motivation: Probability distributions play a central role in mathematical and statistical modelling. The encoding, annotation and exchange of such models could be greatly simplified by a resource providing a common reference for the definition of probability distributions. Although some resources exist, no suitably…
Cicero Ramos DE BRİTO, Leandro Chaves REGO, Wilson Rosa DE OLİVEİRA, Frank GOMES-SİLVA
'Frank GOMES-SİLVA'] In this work, we present a method to generate probability distributions and classes of probability distributions, which broadens a process of probability distribution construction. In this method, distribution classes are built from pre-defined monotonic functions and from known distributions. With…
Rose M. Baker
Methods for generating new distributions from old can be thought of as techniques for simplifying integrals used in reverse. Hence integrating a probability density function (pdf) by parts provides a new way of modifying distributions; the resulting pdfs are integrals that sometimes require computation as special…
Shaiful Anuar Abu Bakar, Saralees Nadarajah, Zahrul Azmir ABSL Kamarul Adzhar, Ibrahim Mohamed + 1 more
'Zahrul Azmir ABSL Kamarul Adzhar' 'Ibrahim Mohamed' 'Duccio Rocchini'] In this paper, we introduce the R package gendist that computes the probability density function, the cumulative distribution function, the quantile function and generates random values for several generated probability distribution models…
Anthony LoPrete, Johannes Burge
The full width at half maximum (FWHM) is a useful quantity for characterizing the bandwidth of unimodal functions. However, a closed-form expression for the FWHM of gamma-shaped functions - i.e. functions that are shaped like the gamma distribution probability density function (PDF) - is not widely available. Here, we…
Anthony LoPrete, Johannes Burge
The full width at half maximum (FWHM) is a useful quantity for characterizing the bandwidth of unimodal functions. However, a closed-form expression for the FWHM of gamma-shaped functions—i.e. functions that are shaped like the gamma distribution probability density function (PDF)—is not widely available. Here, we…
Raju. K. Lohot, V. U. Dixit
Laplace distribution is popular in the field of economics and finance. Still, data sets often show a lack of symmetry and a tendency of being bounded from either side of their support. In view of this, we introduce a new family of skew distribution using the skewing mechanism of Azzalini (1985), namely…
Amelia Carolina Sparavigna
It is important, for further applying the q-Gaussian Tsallis functions, to discuss how they can generalize asymmetric and pseudo-Voigtian functions. Some remarks about Voigt functions are also stressed, regarding the behavior of the wings of Raman spectral components. The use of Voigt and pseudo-Voigt functions implies…
Amelia Carolina Sparavigna
Previous studies (Sparavigna, 2023) have demonstrated the Tsallis q-Gaussian functions suitable for the analysis of Raman spectra. Here we consider two asymmetric forms of them, with the aim of further improving the fitting of Raman spectra. The first asymmetric form, that we are here proposing for the first time, is a…
Mohamed Y. Hassan
In this study, we propose an Equi-Under-dispersed Poisson distribution derived from a finite mixture of weighted Poisson distributions. This probability distribution is a simple, parsimonious, and flexible option suitable for modeling under-dispersed count data. It aims to overcome some of the weaknesses of existing…
Carmen Moret-Tatay, Daniel Gamermann, Esperanza Navarro-Pardo, Pedro Fernández de Córdoba Castellá
'Pedro Fernández de Córdoba Castellá'] The study of reaction times and their underlying cognitive processes is an important field in Psychology. Reaction times are often modeled through the ex-Gaussian distribution, because it provides a good fit to multiple empirical data. The complexity of this distribution makes the…
Florian H. Hodel, John R. Fieberg
The R package cylcop extends the copula package to allow modeling of correlated circular-linear random variables using copulae that are symmetric in the circular dimension. We present and derive several new circular-linear copulae with this property and demonstrate how they can be implemented in the cylcop package to…
Sajid Mehboob Zaidi, Zafar Mahmood, Mintodê Nicodème Atchadé, Yusra A. Tashkandy + 5 more
'Yusra A. Tashkandy' 'M.E. Bakr' 'Ehab M. Almetwally' 'Eslam Hussam' 'Ahmed M. Gemeay' 'Anoop Kumar'] This article proposes and discusses a novel approach for generating trigonometric G-families using hybrid generalizers of distributions. The proposed generalizer is constructed by utilizing the tangent trigonometric…
David L Miller, Eric Rexstad, Len Thomas, Laura Marshall + 1 more
Estimating the abundance and spatial distribution of animal and plant populations is essential for conservation and management. We introduce the R package Distance that implements distance sampling methods to estimate abundance. We describe how users can obtain estimates of abundance (and density) using the package as…
Vladimir A. Kuznetsov, Andre Grageda, Davood Farbod
Modern high-throughput biological systems detection methods generate empirical frequency distributions (EFD) which exhibit complex forms and have long right-side tails. Such EFD are often observed in normal and pathological processes, of which the probabilistic properties are essential, but the underlying probability…
Tobias Røikjer, Asger Hobolth, Kasper Munch
Phase-type distributions model the time until absorption in continuous or discrete-time Markov chains on a finite state space. The multivariate phase-type distributions have diverse and important applications by modeling rewards accumulated at visited states. However, even moderately-sized state spaces make the…
Jixin Chen
Predicting the reaction kinetics, that is, how fast a reaction can happen in a solution, is essential information for many processes, such as industrial chemical manufacturing, refining, synthesis and separation of petroleum products, environmental processes in air and water, biological reactions in cells, biosensing…
Amelia Carolina Sparavigna
In an article by Thibault et al., 2002, we can find measurements of Raman linewidths in the Q branch of carbon monoxide, for mixtures with Argon at different temperatures. A plot is available for the Q(5) line with a fitted Voigt function. Here we show that a q-Gaussian Tsallis function can be used for fitting this…
Jürgen Köfinger, Gerhard Hummer
The proper balancing of information from experiment and theory is a long-standing problem in the analysis of noisy and incomplete data. Viewed as a Pareto optimization problem, improved agreement with the experimental data comes at the expense of growing inconsistencies with the theoretical reference model. Here, we…
Jürgen Köfinger, Gerhard Hummer
The proper balancing of information from experiment and theory is a long-standing problem in the analysis of noisy and incomplete data. Viewed as a Pareto optimization problem, improved agreement with the experimental data comes at the expense of growing inconsistencies with the theoretical reference model. Here, we…
Sean H. Rice
Inheritance is the key factor making biological evolution possible. Despite this central role, transmission is often bundled into the simplifying assumptions of evolutionary models, making it difficult to see how changes in the patterns of transmission influence evolutionary dynamics. We present a mathematical…
Carlos P. Carmona, Nicola Pavanetto, Giacomo Puglielli
Functional trait space analyses are pivotal to define species’ ecological strategies across the tree of life. Yet, there is no single application that streamlines the many sometimes-troublesome steps needed to build and analyze functional trait spaces. To fill this gap, we propose funspace, an R package to easily…