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Đorđević, Miodrag S. 1974 -
Doprinos analizi vremenskih nizova sa celobrojnim vrednostima
Autorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
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Academic metadata
Doktorska disertacija
Prirodno-matematičke nauke
-
Univerzitet u Nišu
Prirodno-matematički fakultet
Odsek za matematiku i informatiku
Other Theses Metadata
Contributions to the analysis of integer-valued time series
[М. S. Đorđević]
vi, 213 str.
Biobibliografski podaci: str. [215]
Datum odbrane: 12.12.2016.
statistics for stochastic processes
Ristić, Miroslav M. 1972 - (mentor)
Popović, Biljana 1954 - (član komisije)
Stanković, Miomir 1949 - (član komisije)
Nastić, Aleksandar 1978 - (član komisije)
New thinning operators are defined as differences
of two negative binomial thinning operators. On the
basis of such defined operators, time series with
discrete Laplace marginals are defined. Some
important features of all introduced models are
determined. Estimators of unknown parameters are
derived and their asimptotic behaviour are
discussed. All models are checked on simulated
data and compared with some of existing models.
An application in real-life situations are presented.
Also, a method for identification of latent
components of the models are given
New thinning operators are defined as differences
of two negative binomial thinning operators. On the
basis of such defined operators, time series with
discrete Laplace marginals are defined. Some
important features of all introduced models are
determined. Estimators of unknown parameters are
derived and their asimptotic behaviour are
discussed. All models are checked on simulated
data and compared with some of existing models.
An application in real-life situations are presented.
Also, a method for identification of latent
components of the models are given