@misc{10481/67681,
year = {2021},
month = {2},
url = {http://hdl.handle.net/10481/67681},
abstract = {A new stochastic process was developed by considering the internal performance of
macro-states in which the sojourn time in each one is phase-type distributed depending on time.
The stationary distribution was calculated through matrix-algorithmic methods and multiple interesting
measures were worked out. The number of visits distribution to a determine macro-state
were analyzed from the respective differential equations and the Laplace transform. The mean
number of visits to a macro-state between any two times was given. The results were implemented
computationally and were successfully applied to study random telegraph noise (RTN) in resistive
memories. RTN is an important concern in resistive random access memory (RRAM) operation.
On one hand, it could limit some of the technological applications of these devices; on the other
hand, RTN can be used for the physical characterization. Therefore, an in-depth statistical analysis to
model the behavior of these devices is of essential importance.},
organization = {Spanish Ministry of Science, Innovation and Universities (FEDER program) 

MTM2017-88708-P
TEC2017-84321-C4-3-R},
organization = {Government of Andalusia (Spain) 

FQM-307},
organization = {Andalusian Ministry of Economy, Knowledge, Companies and Universities 

A-TIC-117-UGR18
 

FPU18/01779},
publisher = {Mdpi},
keywords = {Phase-type distributions},
keywords = {Markov processes},
keywords = {RRAM},
keywords = {Random telegraph noise},
keywords = {Statistics},
title = {A Complex Model via Phase-Type Distributions to Study Random Telegraph Noise in Resistive Memories},
doi = {10.3390/math9040390},
author = {Ruiz Castro, Juan Eloy and Acal González, Christian José and Aguilera Del Pino, Ana María and Roldán Aranda, Juan Bautista},
}