Faculty of Science

Model (No 12)

Course Specification : نظرية الإحتمالات (1) - الطرق الإحصائية (1)

2010 - 2011

 
Farabi Quality Management of Education and Learning - 22/12/2024
University :Mansoura University
Faculty :Faculty of Science
Department :Mathematics Department
1- Course data :-
Code: 15315
Course title: نظرية الإحتمالات (1) - الطرق الإحصائية (1)
Year/Level: ثالثة الإحصاء وعلوم الحاسب
Program Title:
  • Statistics & Computer science
Specialization:
Teaching Hours: Theoretical: 6Tutorial: 2Practical:
2- Course aims :-
  1. •The main purpose of this course is to provide students by the concepts of theory of probability such as continuous random variable, Moment generating function and its applications, some discrete and continuous probability distributions, and the vector of random variables, some discrete and continuous probability distributions.
  2. The main purpose of this course is to provide students by the basic concepts and tools of the parametric and nonparametric testing of hypotheses.
3- Course Learning Outcomes :-
4- Course contents :-
NoTopicsWeek
1Gamma distribution - Beta distribution
2Joint, marginal and conditional distributions
3Independence and conditional expection
4Distributions of functions of random variables- sums, product-quotiont
5Cumulative- distribution-function Technique
6Moment generating function and Technique
7 Central limit theorem
8 Sampling disrtibutions- Sample mean
9Confidence interval for mean, variance, difference of means
10Testing of hypotheses on means, variance, several means, several variances
11Chi-square testes
12Testes of independence in contingency table
13Sign test, Wixcon test, Run test, Rank sum test

5- Teaching and learning methods :-
SMethod
Borde and normal method

6- Teaching and learning methods of disables :-
  1. no student

7- Student assessment :-
A. Timing
NoMethodWeek
1oral exam15
2final exam15
B. Degree
NoMethodDegree
1Mid_term examination0
2Final_term examination90
3Oral examination 10
4Practical examination 0
5Semester work0
6Other types of asessment0
Total100%

8- List of books and references
SItemType
1Course Notes
2Rebert, V.H and Allan, T. Introduction to mathematical statistics.
3Douglas, C. and George, C. (2003). Applied statistics and probability for engineering. John Wiley & Sons. Inc

9- Matrix of knowledge and skills of the course
SContentStudy week
Gamma distribution - Beta distribution
Joint, marginal and conditional distributions
Independence and conditional expection
Distributions of functions of random variables- sums, product-quotiont
Cumulative- distribution-function Technique
Moment generating function and Technique
Central limit theorem
Sampling disrtibutions- Sample mean
Confidence interval for mean, variance, difference of means
Testing of hypotheses on means, variance, several means, several variances
Chi-square testes
Testes of independence in contingency table
Sign test, Wixcon test, Run test, Rank sum test

Course Coordinator(s): -
  1. Beh Elsaid Eldesouqy Belal
Head of department: -
Ahmed Habeb Mohamed Nageb Elbassiony