# Models of Alternating Renewal Process at Discrete Time

Bousseboua, Moussedek; Lazhar Rahmani, Fouad

Serdica Mathematical Journal (2001)

- Volume: 27, Issue: 2, page 115-130
- ISSN: 1310-6600

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topBousseboua, Moussedek, and Lazhar Rahmani, Fouad. "Models of Alternating Renewal Process at Discrete Time." Serdica Mathematical Journal 27.2 (2001): 115-130. <http://eudml.org/doc/11528>.

@article{Bousseboua2001,

abstract = {We study a class of models used with success in the modelling of
climatological sequences. These models are based on the notion of renewal.
At first, we examine the probabilistic aspects of these models to afterwards
study the estimation of their parameters and their asymptotical properties,
in particular the consistence and the normality. We will discuss for applications,
two particular classes of alternating renewal processes at discrete
time. The first class is defined by laws of sojourn time that are translated
negative binomial laws and the second class, suggested by Green is deduced
from alternating renewal process in continuous time with sojourn time laws
which are exponential laws with parameters α^0 and α^1 respectively.},

author = {Bousseboua, Moussedek, Lazhar Rahmani, Fouad},

journal = {Serdica Mathematical Journal},

keywords = {Time Series; Alternating Renewal Process; Sojourn Time Laws; Persistence; time series; alternating renewal process; sojourn time laws; persistence},

language = {eng},

number = {2},

pages = {115-130},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Models of Alternating Renewal Process at Discrete Time},

url = {http://eudml.org/doc/11528},

volume = {27},

year = {2001},

}

TY - JOUR

AU - Bousseboua, Moussedek

AU - Lazhar Rahmani, Fouad

TI - Models of Alternating Renewal Process at Discrete Time

JO - Serdica Mathematical Journal

PY - 2001

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 27

IS - 2

SP - 115

EP - 130

AB - We study a class of models used with success in the modelling of
climatological sequences. These models are based on the notion of renewal.
At first, we examine the probabilistic aspects of these models to afterwards
study the estimation of their parameters and their asymptotical properties,
in particular the consistence and the normality. We will discuss for applications,
two particular classes of alternating renewal processes at discrete
time. The first class is defined by laws of sojourn time that are translated
negative binomial laws and the second class, suggested by Green is deduced
from alternating renewal process in continuous time with sojourn time laws
which are exponential laws with parameters α^0 and α^1 respectively.

LA - eng

KW - Time Series; Alternating Renewal Process; Sojourn Time Laws; Persistence; time series; alternating renewal process; sojourn time laws; persistence

UR - http://eudml.org/doc/11528

ER -

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