ST202 : Mathematical Statistics (2)

Department

Department of Statistics

Academic Program

Bachelor in Statistics

Type

Compulsory

Credits

04

Prerequisite

ST201

Overview

· Introducing the concept of joint distributions functions.

· How to find marginal distributions from joint distributions.

· How to find conditional expectation, conditional variance and moments generating function technique.

· Using transformations to find functions from others.

Intended learning outcomes

(Knowledge & understand)A.

The student will be able to understand joint distributions functions

1.A

The student will be able to understand marginal distributions from joint distributions.

2.A

The student will be able find conditional expectation, conditional variance and moments generating functions

3.A

The student will be able to use transformations in joint distributions

4.A

B. Mental skills

The ability to deal with joint distributions functions

1.B

The ability to get marginal distributions from joint distributions.

2.B

The ability to use conditional expectation, conditional variance and moments generating functions.

3.B

The ability to use transformations in joint distributions

4.B

C. Practical & professional skills

The student should be able to use joint distributions functions

1.C

The student should be able to get marginal distributions

2.C

The student should be find conditional expectation, conditional variance and moments generating functions

3.C

The student should be able to use transformations

4.C

D. Generic and transferable skills

The student will be able to verification of probabilities formulas of functions

1.D

The ability to dealing with marginal distributions

2.D

The ability to connect with other students

3.D

The ability to use transformations in joint distributions functions

4.D

Teaching and learning methods

1- Lectures

2- Exercises and discussions

Methods of assessments

First evaluation

The first exam

25%

Sixth week

Second evaluation

The second exam

25%

Twelfth week

Final evaluation

The final exam

50%

Sixteenth week

Total

100 Point

100%

(References)

References address

publisher

النسخة

المؤلف

مكان تواجدها

Course notes

professor note

textbooks

الإحصاء الرياضي

جامعة طرابلس

1998

د/ على العماري

د/علي العجيلي

Help books

Scientific journal

web

other

Course (contents)

.

Scientific topic

Number of Hours

Lecture

laboratory

Exercises

discussion

Number of weeks

Co-probability distribution function

4

3

1

1

Marginal and conditional distributions and autonomy of variables

4

3

1

1

Heterogeneity and correlation

4

3

1

1

Conditional expectation and variance

4

3

1

1

Generating function Common moments

4

3

1

1

Binomial distribution

4

3

1

1

Binary normal distribution

4

3

1

1

Distribute functions in random variables

12

10

2

3

Distribution of sum, division, multiplication, distribution of T , chi-squared and F

8

6

2

2

Bypass

8

6

2

2