Basic MAC Scheme for RF Energy Harvesting Wireless Sensor Networks: Throughput Analysis and Optimization. [PDF]
Choi CW.
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Some convolution algebras of measures on $\left[ {1,\infty } \right)$ and a representation theorem for Laplace-Stieltjes transforms [PDF]
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Dynamical behaviour and meta heuristic optimization of a hospital management software system. [PDF]
Harini R, Indhira K.
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Performance Analysis of Dynamic ABAC Systems using a Queuing Theoretic Framework. [PDF]
Madkaikar G +4 more
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Inversion Theorems for the Laplace-Stieltjes Transform
The Laplace-Stieltjes transform f(x) of the function α(t) is denned by1where α(t) is a function of bounded variation in each closed interval [0, R] (R > 0) and the right-hand side of (1) is supposed to be convergent for some x = X0. The Laplace transform f(x) of the function ϕ(t) is defined by2where ϕ(t) ∈ L1(0, R) for each R > 0 and the right ...
Ditzian, Z., Jakimovski, Amnon
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Hong Yan Xu, Yinying Kong, Xu Hongyan
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Sharp Bounds on Laplace-Stieltjes Transforms, with Applications to Various Queueing Problems
Mathematics of Operations Research, 1977Several partial characterizations of positive random variables (e.g., certain moments) are considered. For each characterization, sharp upper and lower bounds on the Laplace-Stieltjes transform of the corresponding distribution function are derived. These bounds are then shown to be applicable to several problems in queueing and traffic theory.
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The Representation of Functions as Laplace and Laplace–Stieltjes Transforms
SIAM Journal on Mathematical Analysis, 1986A necessary and sufficient condition for a function to be represented as a Laplace or Laplace-Stieltjes transform are discussed by considering the behaviour of the function on a single vertical line in the form of six theorems. The author also discusses conditions which must be satisfied by the various kernels for them to be used in the theorems. Three
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On the Growth of Zero Order Laplace-Stieltjes Transform Convergent in the Right Half-Plane
Acta Mathematica Scientia, 2008Abstract In this article, authors study the growth of Laplace-Stieltjes transform with zero order convergent in the right half-plane, define the exponential order and the exponential low order, and find the relations between them. Some results similar to Dirichlet series are obtained.
Sun Daochun
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On the singularity of Laplace-Stieltjes transform of a heavy tailed random variable
2008 International Symposium on Information Theory and Its Applications, 2008In this paper, we give a sufficient condition for a non-negative random variable X being heavy tailed. A light tailed case is studied in. The sufficient condition is an analytic property of Laplace-Stieltjes transform of the probability distribution function of X. The proof is based on the complex Tauberian theorem by Graham-Vaaler.
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