info:eu-repo/semantics/bachelorThesis New generalized thinning operators based on Bernoulli sequences of dependent random variables are presented In this thesis. Using these operators autoregressive models of the first order with non-negative integer values and geometric marginal distribution are constructed. Also, a mixed model based on both dependent and independent Bernoulli counting series is constructed by combined application of the binomial and the generalized binomial thinning operator. Some basic features of all introduced models are determined, unknown model parameters are estimated and asymptotic properties of obtained estimates are considered. Possible application to real data is also presented, where the new models are compared with each other and with the existing relevant INAR models. Umnoženo za odbranu. Univerzitet u Nišu, Prirodno-matematički fakultet, 2014. Bibliografija: listovi 160-166. Biobibliografija: list [167]Rezime ; Abstract. http://creativecommons.org/licenses/by-nc-nd/2.0/at/legalcode Miletić Ilić, Ana V. 1977- https://phaidrani.ni.ac.rs/o:969 cobiss:533682326 thesis:2003 Vremenski nizovi sa negativnim celobrojnom vrednostima generisani zavisnim brojačkim nizovima : doktorska disertacija PDF/A (177 listova) 1860543 bytes srp 2014 Ristić, Miroslav M. 1972- Popović, Biljana Č. 1954- Stanković, Miomir S. 1949- Nastić, Aleksandar S.