Results 121 to 130 of about 160,624 (315)

Note on Laplace-transforms. II. On some class of Laplace-transforms. I. [PDF]

, 1951
Chuji Tanaka
openalex   +1 more source

Susceptible‐infected‐recovered model with stochastic transmission

Canadian Journal of Statistics, EarlyView.
Abstract The susceptible‐infected‐recovered (SIR) model is the cornerstone of epidemiological models. However, this specification depends on two parameters only, which results in its lack of flexibility and explains its difficulty to replicate the volatile reproduction numbers observed in practice.
Christian Gouriéroux, Yang Lu
wiley   +1 more source

Application of the inverse Laplace transform techniques to solve the generalized Bagley–Torvik equation including Caputo’s fractional derivative

Partial Differential Equations in Applied Mathematics
This article employs the Laplace transform approach to solve the Bagley–Torvik equation including Caputo’s fractional derivative. Laplace transform is a powerful method for enabling solving integer and non-integer order ODEs and PDEs in engineering and ...
Dania Santina, Kamran, Muhammad Asif, Salma Aljawi, Nabil Mlaiki   +4 more
doaj  

Laplace transformation updated [PDF]

arXiv, 2005
The traditional theory of Laplace transformation in its currently prevalent form is unsatisfactory. Its deficiencies can be traced back to a mismatch of the definition intervals of the original function and of the inverse L-transform. A new approach is outlined by which Laplace transformation becomes liberated from its inconsistencies.
arxiv  

The quantile‐based classifier with variable‐wise parameters

Canadian Journal of Statistics, EarlyView.
Abstract Quantile‐based classifiers can classify high‐dimensional observations by minimizing a discrepancy of an observation to a class based on suitable quantiles of the within‐class distributions, corresponding to a unique percentage for all variables.
Marco Berrettini, Christian Martin Hennig, Cinzia Viroli   +2 more
wiley   +1 more source

An Inversion Formula for the Generalised Laplace Transform [PDF]

, 1949
Rajender S. Varma
openalex   +1 more source

The joint distribution of occupation times of skip-free Markov processes and a class of multivariate exponential distributions [PDF]

arXiv, 2007
For a skip-free Markov process on non-negative integers with generator matrix Q, we evaluate the joint Laplace transform of the occupation times before hitting the state n (starting at 0). This Laplace transform has a very straightforward and familiar expression.
arxiv  

Graph convolutional reinforcement learning for resource allocation in hybrid overlay–underlay cognitive radio network with network slicing

IET Communications, Volume 17, Issue 2, Page 215-227, January 2023., 2023
Abstract Nowadays, wireless communication system is facing the problems of spectrum resource shortage. Cognitive radio technology allows cognitive users to use the spectrums authorized to primary users to improve the spectrum utilization. In this paper, a cognitive network model based on hybrid overlay–underlay spectrum access mode is established.
Siyu Yuan, Yong Zhang, Tengteng Ma, Zhenjie Cheng, Da Guo   +4 more
wiley   +1 more source

Theorems on n-dimensional Laplace transforms and their applications

Electronic Journal of Differential Equations, 1999
In the present paper we prove certain theorems involving the classical Laplace transform of $n$-variables. The theorems are then shown to yield a nice algorithm for evaluating $n$-dimensional Laplace transform pairs.
R. S. Dahiya, Jafar Saberi-Nadjafi
doaj  

On exit time of stable processes [PDF]

arXiv, 2011
We study the exit time $\tau=\tau_{(0,\infty)}$ for 1-dimensional strictly stable processes and express its Laplace transform at $t^\alpha$ as the Laplace transform of a positive random variable with explicit density. Consequently, $\tau$ satisfies some multiplicative convolution relations. For some stable processes, e.g.
arxiv