منابع مشابه
Inversion of Euler integral transforms with applications to sensor data
Following the pioneering work of Schapira, we consider topological Radon-type integral transforms on constructible Z-valued functions using the Euler characteristic as a measure. Contributions include: (1) application of the Schapira inversion formula to target localization and classification problems in sensor networks; (2) extension and application of the inversion formula to weighted Radon t...
متن کاملNumerical Inversion of Laplace Transforms of Probability Distributions
The purpose of this document is to summarize main points of the paper, “Numerical Inversion of Laplace Transforms of Probability Distributions”, and provide R code for the Euler method that is described in the paper. The code is used to invert the Laplace transform of some popular functions. Context Laplace transform is a useful mathematical tool that one must be familiar with, while doing appl...
متن کاملNumerical Inversion of Multidimensional Laplace Transforms by the Laguerre Method
Numerical transform inversion can be useful to solve stochastic models arising in the performance evaluation of telecommunications and computer systems. We contribute to this technique in this paper by extending our recently developed variant of the Laguerre method for numerically inverting Laplace transforms to multidimensional Laplace transforms. An important application of multidimensional i...
متن کاملProbabilistic Scaling for the Numerical Inversion of Nonprobability Transforms
It is known that probability density functions and probability mass functions can usually be calculated quite easily by numerically inverting their transforms (Laplace transforms and generating functions, respectively) with the Fourier-series method, but other more general functions can be substantially more difficult to invert, because the aliasing and roundoff errors tend to be more difficult...
متن کاملComputing Laplace Transforms for Numerical Inversion Via Continued Fractions
It is often possible to effectively calculate probability density functions (pdf’s) and cumulative distribution functions (cdf’s ) by numerically inverting Laplace transforms. However, to do so it is necessary to compute the Laplace transform values. Unfortunately, convenient explicit expressions for required transforms are often unavailable for component pdf’s in a probability model. In that e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1977
ISSN: 0898-1221
DOI: 10.1016/0898-1221(77)90086-4