## Notifications

Exam terms will be organized upon email request between Jan. 13-31 or on Feb. 10 and then published in the SIS. There is a possibility of additional exam terms in the second half of February. The capacity of each exam term is 3 students. Exams take place in the examinator's office on the 2nd floor.

## Schedule

Lecture |
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Tuesday | 10:40 - 12:10 | K4 | |

Exercise Class |
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Monday | 12:20 - 13:50 | K11 | (instructor: Jan Vávra) |

## Course Materials

Most of the contents of the course is covered by two monographs. Both are available in the library or can be purchased (e.g., from Amazon).

- Fleming TR and Harrington DP. Counting Processes and Survival Analysis. Wiley, New York, 1991.
- Kalbfleisch JD and Prentice RL. The Statistical Analysis of Failure Time Data. Wiley, New York, 2002.

## Course Plan

The course covers methods for analysis of censored data: non-negative random variables with time-to-event interpretation whose values are not always fully observed (survival analysis, reliability theory, risk analysis)

The lecture focuses on the development, theoretical justification, and interpretation of the methods.

The exercise classes will teach how to apply these methods to real problems but may include some theoretical tasks as well.

The following topics will be included:

- introduction to censoring, basic terminology
- parametric estimation and testing
- non-parametric estimation and testing
- regression models for censored random variables

### Prerequisites

This course assumes the knowledge of linear regression theory and, preferably but not necessarily, generalized linear models. Intermediate-level knowledge of probability theory, continuous martingales, and counting process theory is also required.

Master students of "Probability, statistics and econometrics" must have completed courses NMSA407 Linear Regression and NMTP436 Continuous Martingales and Counting Processes before enrolling in this course.

Master students of "Financial and Insurance Mathematics" must have completed courses NMSA407 Linear Regression and NMFM408 Probability for Finance and Insurance before enrolling in this course.

## Requirements for Credit/Exam

Credit:

The credit for the exercise class will be awarded to the student who is present at the exercise class sessions (two absences are tolerated) and hands in a satisfactory solution to each assignment by the prescribed deadline.

The nature of these requirements precludes any possibility of repeated attempts to obtain the exercise class credit.

Exam:

The exercise class credit is necessary to sign up for the exam. The exam will be oral.