o:969 Vremenski nizovi sa negativnim celobrojnom vrednostima generisani zavisnim brojačkim nizovima : doktorska disertacija Statistics for stochastic processes;Time series with non-negative integer values based on dependent counting series sr 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. 533682326 91552101 2003 91552100 533682326 2015-09-21T15:09:08.053Z 45 no 46 mentor Ana V. 1977- Miletić Ilić 2014 63 mentor Miroslav M. 1972- Ristić 2014 63 član komisije Biljana Č. 1954- Popović 2014 63 član komisije Miomir S. 1949- Stanković 2014 63 član komisije Aleksandar S. Nastić 2014 PDF/A (177 listova) 1860543 http://phaidrabg.bg.ac.rs/o:969 no yes 4 2015-09-21T15:09:08.320Z 70 INAR modeli, binomni tining, generalizovanji binomni tining, zavisni Bernulijev brojački niz, geometrijska marginalna raspodela INAR models, binomial thinning, generalized binomial thinning,dependent Bernoulli counting series, geometric marginaldistribution 519.2 1738 18A07 18A0701 2014