‫بسم هللا الرحمن الرحيم‬
The Islamic University of Gaza
Department of Mathematics
Mathematical Statistics 1 (Math 6330)
Course Outline
Instructor: Dr. Raid B. Salha
Course Description: Basic of Probability theory, random variables, distribution
function, density function, Expected value, Conditional probability, independence,
Special distributions, probability inequalities and identities, Moment generating
function, joint and marginal distributions, conditional distributions, bivariate
transformations, mixture distributions, covariance and correlations, multivariate
distributions, order statistics, convergence concepts, generating a random sample,
parametric estimation, non-parametric estimation, kernel estimation.
Aims:
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To understand the axioms of probability theory.
To understand the basic definitions of probability functions.
To deal with conditional probability.
To understand different types of distributions .
To deal with random variables and their distributions.
To know some probability inequalities and identities.
To solve problems concerning probabilities.
Dealing with special kinds of distributions.
To generate a random sample.
To understand parametric and non-parametric estimation.
To deal with kernel estimation
To solve problems concerning probabilities.
Methods of Teaching:
By lectures, discussions, quizzes, solving selected problems, and delivering a
weekly set of homework, Project.
Text Book:
Statistical Inference
Second Edition, by
George Casella and Roger L. Perger
1
Evaluation and Grading:
Project
10%
Two Midterm Exams
40%
Final Exam
50%
Total
100%
‫توزيع المادة الدراسية على أسابيع الفصل الدراسي‬
Week
Sections to be covered
1st week
Week
Sections to be covered
9th week
4.1, 4.2
1.1, 1.2
2nd week
10th week
1.3, 1.4
3rd week
4.3, 4.4
11th week
1.5, 1.6
4th week
5.1, 5.2
12th week
2.1, 2.2
5th week
5.3, 5.4
13th week
5.5, 5.6
14th week
Selected topics from Estimation
( Parametric estimation and
kernel estimation)
15th week
Selected topics from Estimation
( Parametric estimation and
kernel estimation)
2.3, 2.4
6th week
3.1, 3.2
7th week
3.3, 3.4
8th week
16th week
3.5, 3.6
General Review
2