The objective of this course is to introduce the basic issues and tools of statistical inference based on the background which is constructed in MATH205. Topics include moment generating functions, multivariate probability distributions, conditional expectation, empirical distribution function, Least Squares Estimators and their applications in simple linear regression analysis, Moment Estimators, Maximum Likelihood Estimators, the properties of estimators (such as unbiasedness, efficiency, consistency, and sufficiency), the law of large numbers, confidence intervals for some population parameters, hypothesis tests, the statistical power of a test, statistical inferences for the mean of a normal random variable. In addition, the course aims to introduce applications of these basic topics in different software programs
- Teacher: Aysegul Erem