Probability & Statistics
HANDOUT 4. Introduction to Statistics
Bibliography: Michael Baron - Probability and Statistics for Computer Scientists - chapter 8
WHAT IS STATISTICS? universal language of sciences
STATISTICS = science of collecting, classifying,
Probability & Statistics
HANDOUT 3. Continuous Random Variables and Distributions
Bibliography: Michael Baron - Probability and Statistics for Computer Scientists - chapter 4
PROBABILITY DENSITY
A random variable X is called continuous random variable if
Probability & Statistics
LAB 5. Statistics with Maple. CLT. Condence Intervals. Hypothesis testing.
The tools available in the Statistics package of Maple can greatly facilitate various tasks such as
calculations with abstract random variables and symboli
Probability & Statistics
LAB 3. Simulating discrete random variables.
If we want to simulate a discrete random variable X having the probability mass function
P (X = xi ) = pi
i = 1, 2, 3.
where
pi = 1
i
we consider a uniformly distributed random variabl
Probability & Statistics
LAB 2. Random Number Generators.
To generate a sequence of numbers, the idea is to start with some initial values x1 , x2 , ., xk , called seeds,
and use a recurrence formula such as:
xn = g(xn1 , xn2 , ., xnk )
n>k
To insure that
Probability & Statistics
LAB 4. Continuous random variables.
Part I. Some experiments.
Remember from Lab 3 that generating a uniformly distributed random variable U over the interval (0, 1)
is equivalent to generating a random number in the interval (0, 1
Probability & Statistics
LAB 1. Experiments and simulations.
In probability theory, we will be particularly interested in repeating a chance experiment a large number
of times. For example, considering the experiment of rolling a die, we want to estimate
Probability & Statistics
HANDOUT 6. Correlation and Regression
Bibliography: Michael Baron - Probability and Statistics for Computer Scientists - chapter 10
CORRELATION
If for the same population we have two sets of data corresponding to two distinct var
Probability & Statistics
HANDOUT 5. Statistical Inference
Bibliography: Michael Baron - Probability and Statistics for Computer Scientists - chapters 8 and 9
PARAMETERS AND STATISTICS
Our aim is to estimate some population parameters, such as , , 2 .
We c
Probability & Statistics
HANDOUT 1. Probability basics
Bibliography: Michael Baron - Probability and Statistics for Computer Scientists - chapter 2
INTRODUCTION
Probability theory and Statistics are branches of mathematics developed to deal with uncertain
Probability & Statistics
HANDOUT 2. Discrete Random Variables and Distributions
Bibliography: Michael Baron - Probability and Statistics for Computer Scientists - chapter 3
DISTRIBUTION OF A RANDOM VARIABLE
A random variable is obtained by assigning a nu
REGIONS
North America-2
Western Balkans-6
The European Union-28
COUNTRY
GDP PER CAPITA 2013
FINAL CONSUMPTION EXPENDITURE PER CAPITA
Canada
37336
37336
United States
45665
37693
Bosnia and Herzegovi
6745
7567
Albania
8763
8814
The fyR of Macedoni
10335
91