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T .FATEN MaSc 376
Teacher \ faten alamri
course \ MaSc 367
Office \2,923
EXT #/ 36241
Office hours \ Sunday , Tuesday and Thursday from 8 to 9
Email\ [email protected]
Book\ Prasanna Sahoo. PROBABILITY and MATHEMATICAL Statistics,
Department of Mathematics,
University of Louisville.
Topics to be coverd
Revision on: Sample
space (discrete and
continuous), events,
Probability function,
Axioms of probability,
Conditional
probabilities ,
Independent events
Random variables and
their types, Distribution
Functions and their
types. Density and
Mass Functions.
Mathematical
Expectation, (Mean and
Variance), Moments
and Moment
Generating Functions.
Differentiating Under
an Integral Sign.
Examples, Normal and
No. of
weeks
1
Contact
hours
3
2
6
T .FATEN MaSc 376
Exponential density
functions & Binomial
and Poisson Mass
functions.
Distribution of multiple
Random Variables.
Joint and Marginal
Distributions.
Conditional
Distributions and
Independence.
Moment Generating
Functions of multiple
random variables.
Covariance and
Correlation. Bivariate
and Multivariate
Distributions. Examples
include the Bivariate
normal distribution and
the Multivariate normal
distribution.
Distribution of
Functions of Random
Variables. Hierarchical
Models and Mixture
Distributions Examples
included: Distribution
of sum of independent
normally distribute
random variables, sum
of Exponential random
variables, the
distribution of the ratio
of two random
variables. Distribution
of a transformation of a
2
6
2
6
T .FATEN MaSc 376
random variable.
Examples included
distribution of the
square of standard
normal random
variable.
Common Families of
Distributions.
Exponential Families.
Locations and Scale
Families. Inequalities
and Identities.
Properties of a Random
Sample, Basic Concepts
of Random
Samples. Generating a
Random Sample (direct
& indirect).
Point and Interval
Estimation.
Introduction. Methods
of Finding Estimators.
Methods of Evaluating
the estimation
Hypothesis Testing.
Introduction. Methods
of Finding Tests.
Methods of Evaluating
Test.
Regression Models.
Introduction.
Regression with Errors
in Variables.
Total
1
3
1
3
2
6
2
6
2
6
15
45
T .FATEN MaSc 376
Other reference
Casella G. & Berger R. L. Statistical Inference. Second edition, Duxbury
Press, 2007
Grading
Mark
First quiz
5
First mid
15
Second quiz
5
Second mid
15
Third quiz
5
HW + extra work
10

Do you want to get an A in this course !
week
Week 3-sun 8 Feb 2015
Week 6-sun 1Marsh 2015
Week 9-sun 29 marsh 2015
Week 12-sun 19 april 2015
Week 14-sun 3 may 2015
Progress
SO BE ON TIME ,WORK HARD , DO HOMEWORK AND DON’T MISS
ANY QUIZ OR EXAM. YOU WILL SECUSSES
Good luck 
T. Faten alamri 