Probability and Statistics
Abbreviation: VJST Load: 45(L) + 45(E) + 0(LE) + 0(S) + 0(FLE) + 0(PEE)
Lecturers in charge: dr. sc. Tomislav Fratrović
dr. sc. Marijana Greblički
Lecturers: dr. sc. Diana Hunjak ( Exercises )
pred. Radomir Lončarević ( Exercises )
Course description: Introduction to combinatorics. Counting finite sets. Algebra of events. Definitions of probability. Conditional probability. Total probability formula and Bayes formula. Random variable. Cumulative probability function. Random variable functions. Discrete random variables. Numerical characteristics of a discrete random variable. Binomial distribution. Poisson distribution. Geometric distribution. Hypergeometric distribution. Uniform distribution. Exponential distribution. Normal distribution. Hi-squared distribution. Boundary theorems of probability theory. Statistical set. Characteristics of the statistical set. Frequency distribution. Measures of central tendency. Measures of dispersion. Two-dimensional and multidimensional frequency distribution. Sample theory. Statistical estimates. Testing of statistical hypotheses. Testing the distribution hypothesis in a statistical set. Correlation and regression. Correlation coefficient. Linear regression.
Lecture languages: - - -
Compulsory literature:
1. Kovač Striko, E.; Fratrović, T.; Ivanković, B.: Vjerojatnost i statistika s primjerima iz tehnologije prometa, Fakultet prometnih znanosti, Zagreb, 2008.
Recommended literature:
2. Pauše, Ž.: Uvod u matematičku statistiku, Školska knjiga, Zagreb, 1993
3. Vranjković, P.: Zbirka zadataka iz vjerojatnosti i statistike, Školska knjiga, Zagreb, 1990
4. Cody, R.: An Introduction to SAS University Edition, SAS Institute, 2015.
5. Lipschutz, S.: Probability, Schaum's Outline Series, McGraw-Hill, 1996
6. Spiegel, M.R.: Theory and problems of Statistics, Schaum's Outline Series, McGraw-Hill, 1996
7. Hwei, P. H.: Probability, Random Variables and Random Processes, Schaum´s Outline Series, McGraw-Hill, 1997.
8. Montgomery, D.C., Runger, G.C.: Applied Statistics an Probability for Engineers, John Wiley and Sons, 2003
Legend
L - Lectures
E - Exercises
LE - Laboratory exercises
S - Seminar
FLE - Practical foreign language exercises
PEE - Physical education excercises
* - Not graded