Statistika

Ni pogojev za vključitev v delo.

centralni limitni izrek
uvod v statistiko
vzorčne statistike in cenilke
intervali zaupanja
preizkušanje statističnih domnev
linearna regresija
prilagoditveni preizkusi
neparametrični preizkusi

1. M. Hladnik: Verjetnost in statistika , Založba FE in FRI, Ljubljana, 2002, ISBN: 961-6209-34-5, 140 str.
2. R. Jamnik: Matematična statistika,, DZS, Ljubljana, 1980, 408 str.
3. R. Jamnik: Verjetnostni račun in statistika, DMFA Slovenije, Ljubljana, 1986, 156 str.
4. G. Grimmett, D. Stirzaker: Probability and random processes, 3rd ed., Oxford : Oxford University Press, 2001, 2009, 541 str.

Predstaviti uporabo teorije verjetnosti v statistiki.

Razumevanje teoretičnih konceptov v številnih primerih uporabe. Zmožnost razpoznavanja statističnih vsebin v drugih vedah (fizika, ekonomija, finance, aktuarstvo, medicina, biologija, industrijska statistika).

Predavanja, vaje, domače naloge.

pisni izpit
teoretični test ali ustni izpit
ocene: 5 (negativno), 6-10 (pozitivno), (ob upoštevanju Statuta UL)

Roman Drnovšek:
– DRNOVŠEK, Roman. Triangularizing semigroups of positive operators on an atomic normed Riesz space. Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 2000, let. 43, št. 1, str. 43-55 [COBISS-SI-ID 9480281]
– DRNOVŠEK, Roman. Common invariant subspaces for collections of operators. Integral equations and operator theory, ISSN 0378-620X, 2001, vol. 39, no. 3, str. 253-266 [COBISS-SI-ID 10597721]
– DRNOVŠEK, Roman. An infinite-dimensional generalization of Zenger's lemma. Journal of mathematical analysis and applications, ISSN 0022-247X. [Print ed.], 2012, vol. 388, iss. 2, str. 1233-1238 [COBISS-SI-ID 16214617]
Mihael Perman:
– PERMAN, Mihael, SENEGAČNIK, Andrej, TUMA, Matija. Semi-Markov models with an application to power-plant reliability analysis. IEEE transactions on reliability, ISSN 0018-9529, 1997, vol. 46, no. 4, str. 526-532 [COBISS-SI-ID 2567707]
– PERMAN, Mihael, WELLNER, Jon A. On the distribution of Brownian areas. Annals of applied probability, ISSN 1050-5164, 1996, let. 6, št. 4, str. 1091-1111 [COBISS-SI-ID 7101017]
– PERMAN, Mihael, PITMAN, Jim, YOR, Marc. Size-biased sampling of Poisson processes and excursions. Probability theory and related fields, ISSN 0178-8051, 1992, 92, no. 1, str. 21-39 [COBISS-SI-ID 12236377]
Martin Raič:
– CHEN, Louis Hsiao Yun, RAIČ, Martin, THÀNH, Lê Vǎn. On the error bound in the normal approximation for Jack measures. Bernoulli. Feb. 2021, vol. 27, no. 1, str. 442-468. ISSN 1350-7265. [COBISS-SI-ID 38707203]
– RAIČ, Martin. A multivariate Berry-Esseen theorem with explicit constants. Bernoulli. 2019, vol. 25, no. 4a, str. 2824-2853. ISSN 1350-7265. [COBISS-SI-ID 18772825]
– EICHELSBACHER, Peter, RAIČ, Martin, SCHREIBER, Tomasz. Moderate deviations for stabilizing functionals in geometric probability. Annales de l'I.H.P. Probabilités et statistiques. 2015, vol. 51, no. 1, str. 89-128. ISSN 0246-0203. [COBISS-SI-ID 17294681]
Jaka Smrekar:
– SMREKAR, Jaka. Gottlieb’s theorem for a periodic equivalence. Journal of fixed point theory and its applications. Dec. 2022, vol. 24, iss. 4, art. 73 (15 str.). ISSN 1661-7738. [COBISS-SI-ID 125772547]
– KIRALY, Peter, SMREKAR, Jaka, JAKI MEKJAVIĆ, Polona. Morphological parameters predicting subthreshold micropulse laser effectiveness in central serous chorioretinopathy. Lasers in medical science. 2022, vol. 37, may, str. 3129-3136. ISSN 0268-8921. [COBISS-SI-ID 112104963]
– BEŠIĆ, Nikola, SMREKAR, Jaka, STRAŽIŠAR, Branka. Acute pain and side effects after tramadol in breast cancer patients : results of a prospective double-blind randomized study. Scientific reports. 2020, vol. 10, no. 1, str. 1-8. ISSN 2045-2322. [COBISS-SI-ID 35176195]