# Elements of Probability and Statistics

2010
The goal of this course is to introduce students to the basic probability theory and mathematical statistics and help them in establishing a good theoretical background for their future professions. This course provides a comprehensive introduction to probability, statistical theory and methodology. Lectures will explain the theoretical origins and practical implications of statistical formulae. This course contains the most basic tools for a good initiation to statistical methods in Applied Mathematics.

# Suggestions

 Unified And Hybrid Approaches To Identification, Optimization And Control Of Stochastic Financial Processess-Theory, Methods And Applications. Weber, Gerhard Wilhelm(2012-12-31) This research project aims at a new unified view onto both identification and optimal control of Stochastic Differential Equations (SDEs) for purposes of financial mathematics and actuarial sciences. More specific cases such as Stochastic Hybrid Systems are also considered in this framework. A special interests consists in (i) refinement of Parameter Estimation for SDEs and (ii) Portfolio Optimization. Here, the words “unified” or “joint” mean an integrated and simultaneous treatment of (i) and (ii) in the...
 Stochastic Hybrid Systems of Financial and Economical Processess: Identificatied, Optimized and Controlled Weber, Gerhard Wilhelm; Yolcu Okur, Yeliz; Yerlikaya Özkurt, Fatma; Kuter, Semih; Özmen, Ayşe; Karimov, Azar(2013-12-31) This research project will scientifically broaden, deepen and apply a scientific unified approach of both identification and optimal control of Stochastic Differential Equations with Jumps (SHSJs), motivated by and foreseen for purposes of financial mathematics and actuarial sciences. SHSJs and further structured and detailed models are in the scope of our framework, and special interests pursued consisted in a. refinement of Parameter Estimation for SDEs and b. Portfolio Optimization and, as a future exten...
 Students understanding of limit concept: an apos perspective Çetin, İbrahim; Özden, Yaşar; Department of Computer Education and Instructional Technology (2009) The main purposes of this study is to investigate first year calculus students’ understanding of formal limit concept and change in their understanding after limit instruction designed by the researcher based on APOS theory. The case study method was utilized to explore the research questions. The participants of the study were 25 students attending first year calculus course in Middle East Technical University in Turkey. Students attended five weeks instruction depending on APOS theory in the fall semester...
 Statistics In Psychology Mısırlısoy, Mine(2010) The course will begin with a review of the basic concepts in statistics. Then, frequency distribution, mean, mode, median, standard deviation, variance, normal distribution, normal distribution with hypothesis testing, sampling distribution of means, correlation techniques, simple regression will be covered.
 Advanced Mathematical Methods of Financial Risk Management Investigated and Solved by New Methods of Stochastic Calculus, Mathematical Statistics and Optimization Weber, Gerhard Wilhelm(2010-12-31) Advanced Mathematical Methods of Financial Risk Management Investigated and Solved by New Methods of Stochastic Calculus, Mathematical Statistics and Optimization
Citation Formats
C. Yozgatlıgil, “Elements of Probability and Statistics,” 00, 2010, Accessed: 00, 2020. [Online]. Available: https://ocw.metu.edu.tr/course/index.php?categoryid=17. 