Statistics I

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Course Name: Statistics I

Teachers: Georgios Psarrakos

School: Finance and Statistics

Department: Banking and Financial Management

Level: Undergraduate

Course ID: ΧΡΣΤΑ01  Semester: 1st

Course Type: Core Course

Prerequisites: –

Teaching and Exams Language: Greek

Course Availability to Erasmus Students: No

Course webpage: 

Specific Teaching Activities

Weekly Teaching Hours
Credit Units
Lectures
4
7,5

Course Content

  • The basic sections that will be presented are:
  • Empirical Univariate Frequency Distributions: Discrete and Continuous Distributions of Frequencies and Cumulative Frequencies – Graphic Presentation Methods of Qualitative and Quantitative Statistical Data – Frequencies and Cumulative Frequencies Histogram
  • Univariate Populations Parameters: Central Tendency Parameters – Central Position Parameters – Dispersion Measures – Data Trasformation with Encoding – Skewness Parameters –  Frequency Distribution Moments – Kurtosis Parameters
  • Fundamental Notions of Events: Random Experiment – Sample Space – Events – Calculus with Events
  • Combinatorics: Permutations of ν Objects – Arrangements With or Without Repetition of ν Objects Taken μ – Combinations With or Without Repetition of ν Objects Taken μ – Newton’s Binomial
  • The Notion of Probability: Classic, Statistical and Axiomatic Definition of Probability – Properties of Probabilities – Conditional Probability – Independent Events – Total Probability Theorem – Bayes’ Rule
  • Univariate Random Variables: Discrete and Continuous Random Variable – Probability Function and Density Function – Expectation – Cumulative Probability Distribution Function – Variance – Moments of Various Orders – Median and Quantiles – Skewness and Kurtosis – Moment Generator, Generator and Characteristic Function
  • Theoretical Distributions: Bernoulli – Binomial – Geometric – Poisson – Uniform – Exponential – Normal – Lognormal
  • Two-Dimensional Random Variables: Discrete and Continuous Random Variables – Joint Probability Function and Density Function – Independent Random Variables – Mixed Expectation – Cumulative Probability Distribution Function – Marginal Probability Function and Density Function

Teaching Results

This course constitutes an introduction to Descriptive Statistics and Probability Theory. The course targets to present the fundamental tools of these two branches of Statistics, which are applicable to the construction of numerous scientific models. The knowledge of these Statistical Analysis techniques constitutes a fundamental skill that allows us to quantify real-life economic and financial problems, explore them by analyzing their available numerical data, and finally reach reasonable conclusions and future decisions.

Upon successful completion of the course the student will be able to:

 

1) Has an understanding of the basic concepts of Descriptive Statistics and Probability Theory.

2) Has knowledge of the basic tools and techniques of Descriptive Statistics and Probability Theory.

3) He is able to use Descriptive Statistics and Probability Theory methodologies in the Financial Science course.

Skills

  • Decision making
  • Group work
  • Promote free, creative and inductive thinking

Teaching and Learning Methods - Evaluation

Lecture: Ιn Class

Use of Information and Communication Technologies:

Teaching Analysis: 

Activity

Semester Workload
Lectures
50
Group work
25
Practice Exercises that
focus on the application of methodologies
25
Independent Study
87.5
Total
187.5

Student Evaluation:

Written final exam (100%) that includes development topics.

Recommended Bibliography

– Recommended Bibliography:

  • Kiochos, P., and Kiochos, A. ‘Statistics for Business and Economics’, Kiochos publishing, Athens 2015.
  • Papaioannou, T. ‘Introduction to Probability’, Stamoulis Publishing, 2000.

– Related scientific journals: