scholarly journals Modeling the Energy Harvested by an RF Energy Harvesting System Using Gamma Processes

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Inma T. Castro ◽  
Luis Landesa ◽  
Alberto Serna
Keyword(s):  
Stochastic Process ◽  
Energy Harvesting ◽  
Performance Measures ◽  
Continuous Time ◽  
Gamma Process ◽  
Stochastic Characterization ◽  
Energy Harvesting System ◽  
Gamma Processes ◽  
Continuous Time Stochastic Process

In an Energy Harvesting system (EHS) the gamma process is used to model the electromagnetic energy received from radiofrequency (RF) radiation. The stochastic characterization of the harvested energy as a continuous-time stochastic process, namely, gamma process, is obtained from the Nakagami-m fading model, which describes the signal reception in a large amount of types of radiofrequency channels. Using the gamma process, some performance measures of the EHS system are obtained. Also, a transmission policy subject to different fading conditions is considered.

scholarly journals Long-Time Behaviour in a Model of Microtubule Growth

2010 ◽  
Vol 42 (1) ◽  
pp. 268-291
Author(s):  
O. Hryniv ◽  
M. Menshikov
Keyword(s):  
Stochastic Process ◽  
Continuous Time ◽  
Complete Characterization ◽  
Time Behaviour ◽  
Local Growth ◽  
Long Time Behaviour ◽  
Long Time ◽  
Microtubule Growth ◽  
Continuous Time Stochastic Process

We study a continuous-time stochastic process on strings made of two types of particle, whose dynamics mimic the behaviour of microtubules in a living cell; namely, the strings evolve via a competition between (local) growth/shrinking as well as (global) hydrolysis processes. We give a complete characterization of the phase diagram of the model, and derive several criteria of the transient and recurrent regimes for the underlying stochastic process.

scholarly journals Long-Time Behaviour in a Model of Microtubule Growth

2010 ◽  
Vol 42 (01) ◽  
pp. 268-291 ◽  
Author(s):  
O. Hryniv ◽  
M. Menshikov
Keyword(s):  
Stochastic Process ◽  
Continuous Time ◽  
Complete Characterization ◽  
Time Behaviour ◽  
Local Growth ◽  
Long Time Behaviour ◽  
Long Time ◽  
Microtubule Growth ◽  
Continuous Time Stochastic Process

We study a continuous-time stochastic process on strings made of two types of particle, whose dynamics mimic the behaviour of microtubules in a living cell; namely, the strings evolve via a competition between (local) growth/shrinking as well as (global) hydrolysis processes. We give a complete characterization of the phase diagram of the model, and derive several criteria of the transient and recurrent regimes for the underlying stochastic process.

On some properties of the scan statistic on the circle and the line

1977 ◽  
Vol 14 (2) ◽  
pp. 272-283 ◽  
Author(s):  
Noel Cressie
Keyword(s):  
Stochastic Process ◽  
Continuous Time ◽  
Null Hypothesis ◽  
Nuisance Parameter ◽  
Test Statistic ◽  
Scan Statistic ◽  
Asymptotic Power ◽  
Power Comparisons ◽  
Continuous Time Stochastic Process ◽  
Parameter Distributions

The scan statistic is defined as the supremum of a particular continuous-time stochastic process, and is used as a test statistic for testing uniformity against a simple clustering type of alternative. Its distribution under the null hypothesis is investigated and weak convergence of the stochastic process to the appropriate Gaussian process is proved. An interesting link is forged between the circular scan statistic and Kuiper's statistic, which rids us of the trouble of estimating a nuisance parameter. Distributions under the alternative are then derived, and asymptotic power comparisons are made.

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