scholarly journals Extended and conditional versions of the PASTA property

1990 ◽  
Vol 22 (2) ◽  
pp. 510-512 ◽  
Author(s):  
Dieter König ◽  
Volker Schmidt
Keyword(s):  
Stochastic Processes ◽  
Point Processes ◽  
Long Run ◽  
Run Time

Two types of conditions are discussed ensuring the equality between long-run time fractions and long-run event fractions of stochastic processes with embedded point processes. Modifications of this equality statement are considered.

scholarly journals Extended and conditional versions of the PASTA property

1990 ◽  
Vol 22 (02) ◽  
pp. 510-512 ◽  
Author(s):  
Dieter König ◽  
Volker Schmidt
Keyword(s):  
Stochastic Processes ◽  
Point Processes ◽  
Long Run ◽  
Run Time

Two types of conditions are discussed ensuring the equality between long-run time fractions and long-run event fractions of stochastic processes with embedded point processes. Modifications of this equality statement are considered.

From education to democracy: evidence from long-run time-varying estimates

2017 ◽  
Vol 64 (4) ◽  
pp. 313-325
Author(s):  
Nicholas Apergis ◽  
James E. Payne
Keyword(s):  
Time Varying ◽  
Long Run ◽  
Run Time

A Dry-Borohydride/Injected-Hydrogen-Peroxide Fuel Cell

2010 ◽  
Author(s):  
George H. Miley ◽  
Nie Luo ◽  
Kyu-Jung Kim
Keyword(s):  
Hydrogen Peroxide ◽  
Fuel Cell ◽  
Ionic Conduction ◽  
Average Power ◽  
Cathode Side ◽  
Auxiliary Power ◽  
Long Run ◽  
H2o2 Solution ◽  
Run Time ◽  
Robotic Vehicle

The design and testing of a 20-W (average power with short pulses to 45W) prototype fuel cell is presented. This cell is intended as an auxiliary power supply for a small robotic vehicle. The energy density exceeds 300 Watt-hour/kg. This cell is essentially a dry-borohydride/injected-hydrogen-peroxide fuel cell. This enables extremely long shelf life prior to use. The anode utilizes dry NaBH4 for storage while the cathode chamber is empty during storage. The initiation of cell operation is done by injection of the oxidizer, an aqueous H2O2 solution (stored in a separate container) to the cathode side of the fuel cell. The ionic conduction required for membrane operation is initially helped by the H2O content from the H2O2 solution. Once the electrochemical reaction starts, more water is generated as the reaction product and this continues to maintain a good ionic conductance over the run time of the cell. Continued operation is done with auxiliary fuel tanks to maintain very long run time when required. Once a run is over, the cell can be drain, flushed clean and returned to storage waiting for the next mission. The experimental details of such a cell stack are described in this paper.

A class of interacting marked point processes: rate of convergence to equilibrium

2002 ◽  
Vol 39 (1) ◽  
pp. 137-160 ◽  
Author(s):  
G. L. Torrisi
Keyword(s):  
Stochastic Processes ◽  
Rate Of Convergence ◽  
Point Processes ◽  
Marked Point ◽  
Marked Point Processes ◽  
Convergence To Equilibrium ◽  
Birth And Death Processes ◽  
Loss Networks

In this paper we obtain the rate of convergence to equilibrium of a class of interacting marked point processes, introduced by Kerstan, in two different situations. Indeed, we prove the exponential and subexponential ergodicity of such a class of stochastic processes. Our results are an extension of the corresponding results of Brémaud, Nappo and Torrisi. The generality of the dynamics which we take into account allows the application to the so-called loss networks, and multivariate birth and death processes.

Long-run-time performance characteristics of a line-selected 2-kHz F 2 laser for optical microlithography

2001 ◽  
Author(s):  
Georg Soumagne ◽  
Shinji Nagai ◽  
Naoto Hisanaga ◽  
Shinobu Nanzai ◽  
Yoshinori Ochiishi ◽  
...  
Keyword(s):  
Performance Characteristics ◽  
Time Performance ◽  
Long Run ◽  
Run Time

scholarly journals Multifractal Analysis of Infinite Products of Stationary Jump Processes

2010 ◽  
Vol 2010 ◽  
pp. 1-26
Author(s):  
Petteri Mannersalo ◽  
Ilkka Norros ◽  
Rudolf H. Riedi
Keyword(s):  
Stochastic Processes ◽  
Multifractal Analysis ◽  
Point Processes ◽  
Multifractal Spectrum ◽  
Jump Processes ◽  
Poisson Point Processes ◽  
Infinite Products ◽  
Stationary Measures ◽  
Basic Properties ◽  
Side Result

There has been a growing interest in constructing stationary measures with known multifractal properties. In an earlier paper, the authors introduced themultifractal products of stochastic processes(MPSP) and provided basic properties concerning convergence, nondegeneracy, and scaling of moments. This paper considers a subclass of MPSP which is determined by jump processes with i.i.d. exponentially distributed interjump times. Particularly, the information dimension and a multifractal spectrum of the MPSP are computed. As a side result it is shown that the random partitions imprinted naturally by a family of Poisson point processes are sufficient to determine the spectrum in this case.

scholarly journals On the weak convergence of stochastic processes with embedded point processes

1988 ◽  
Vol 20 (2) ◽  
pp. 473-475 ◽  
Author(s):  
Panagiotis Konstantopoulos ◽  
Jean Walrand
Keyword(s):  
Stochastic Process ◽  
Weak Convergence ◽  
Stochastic Processes ◽  
Point Process ◽  
Real Line ◽  
Continuous Time ◽  
Point Processes ◽  
Mixing Condition ◽  
The Real ◽  
Palm Distribution

We consider a stochastic process in continuous time and two point processes on the real line, all jointly stationary. We show that under a certain mixing condition the values of the process at the points of the second point process converge weakly under the Palm distribution with respect to the first point process, and we identify the limit. This result is a supplement to two other known results which are mentioned below.

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