| Week |
Subject |
Related Preparation |
| 1) |
Review of probability. Discrete and continuous probability disrtributions, expected value, variance and higher moments, moment generating and probability generating functions. |
|
| 2) |
Estimation, statistical inference, prior and posterior distributions, conjugate prior distributions, random sums. |
|
| 3) |
Bayes estimators, loss functions, maximum likelihood estimators, moment matching. |
|
| 4) |
Properties of point estimators. Unbiasedness, consistency,efficiency of an estimator. Sufficiency statistics. The Cramer Rao theorem. Properties of Maximum Likelihood estimators. |
|
| 5) |
Sampling distributions of estimators, confidence intervals, unbiased estimators of the mean and the variance.Fisher information matrix. |
|
| 6) |
Testing hypotheses. Uniformely most powerful tests. One sided and two sided tests. Likelihood ratio tests. |
|
| 7) |
Testing the difference between two means, the F distribution, Bayes test procedures. |
|
| 8) |
Categorical data and nonparametric methods. Tests of goodness of fit, contingency tables, tests of homogeneity, robust estimation, sign and rank tests. |
|
| 9) |
Nonparametric tests continued. Order statistics. |
|
| 10) |
Linear Statistical models: method of least squres, single and multivariable regression. |
|
| 11) |
Linear regression continued. Forward addition and backward elimination methods in regression.Correlation. A complete example. |
|
| 12) |
Analysis of variance. |
|
| 13) |
Simulation; simulating specific distributions, Markov chains, Markov chain Monte Carlo. |
|
| 14) |
Application examples of statistical inference. |
|
| |
Program Outcomes |
Level of Contribution |
| 1) |
Ability to assimilate mathematic related concepts and associate these concepts with each other.
|
|
| 2) |
Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization.
|
|
| 3) |
Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques. |
|
| 4) |
Ability to make individual and team work on issues related to working and social life. |
3 |
| 5) |
Ability to transfer ideas and suggestions, related to topics about his/her field of interest, written and verball. |
4 |
| 6) |
Ability to use mathematical knowledge in technology. |
3 |
| 7) |
To apply mathematical principles to real world problems. |
4 |
| 8) |
Ability to use the approaches and knowledge of other disciplines in Mathematics. |
5 |
| 9) |
Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary. |
3 |
| 10) |
To be able to link abstract thought that one has to concrete events and to transfer the solutions and examine and interpret the results scientifically by forming experiments and collecting data. |
4 |
| 11) |
To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively. |
4 |
| 12) |
To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself. |
4 |
BAHÇEŞEHİR UNIVERSITY BİLGİ PAKETİ / DERS KATALOĞU
