Axiomatic definition of probability spaces. Combinatorial methods. Conditional probability; product spaces. Random variables; distribution and density functions; multivariate distribution; conditional distributions and densities; independent random variables. Functions of random variables; expected value, moments and characteristic functions
The aim of this research is to evaluate the main occurrences that blossoms in mathematics especially...
Different approaches to probability: classical, empirical, subjective and axiomatic. The notion of (...
An abstract definition of probability can be given by considering a set S, called the sample space, ...
The calculus of probability is a branch of mathematics. Its foundations have so far not been fully i...
Calculus-based introduction to the theory of probability and its applications; axioms of probability...
In this section we recall the basic vocabulary and results of probability theory. A probability spac...
The common definition of a random variable as a measurable function works well ‘in practice’, but ha...
We have been working on the formalization of the probability and the randomness. In [15] and [16], w...
In this paper, we set up the base of the complex probability theory. The following concepts are defi...
We first explain the basic concept of a probability space, (Ω,F, P). This may be interpreted as an e...
• Define probability of an event as P(A) • Axioms of probability – 0<=P(A)<=1 – P (Certain Eve...
Frequency distributions. Summary statistics. Bivariate frequency distributions. Conditional sample m...
This is the Part 2 of the paper [1] – Contributions to Foundations of Probability Calculus on the ba...
This course introduces students who have taken multivariable calculus to probability, the mathematic...
1.1. Probability spaces and σ-fields 7 1.2. Random variables and their expectation 1
The aim of this research is to evaluate the main occurrences that blossoms in mathematics especially...
Different approaches to probability: classical, empirical, subjective and axiomatic. The notion of (...
An abstract definition of probability can be given by considering a set S, called the sample space, ...
The calculus of probability is a branch of mathematics. Its foundations have so far not been fully i...
Calculus-based introduction to the theory of probability and its applications; axioms of probability...
In this section we recall the basic vocabulary and results of probability theory. A probability spac...
The common definition of a random variable as a measurable function works well ‘in practice’, but ha...
We have been working on the formalization of the probability and the randomness. In [15] and [16], w...
In this paper, we set up the base of the complex probability theory. The following concepts are defi...
We first explain the basic concept of a probability space, (Ω,F, P). This may be interpreted as an e...
• Define probability of an event as P(A) • Axioms of probability – 0<=P(A)<=1 – P (Certain Eve...
Frequency distributions. Summary statistics. Bivariate frequency distributions. Conditional sample m...
This is the Part 2 of the paper [1] – Contributions to Foundations of Probability Calculus on the ba...
This course introduces students who have taken multivariable calculus to probability, the mathematic...
1.1. Probability spaces and σ-fields 7 1.2. Random variables and their expectation 1
The aim of this research is to evaluate the main occurrences that blossoms in mathematics especially...
Different approaches to probability: classical, empirical, subjective and axiomatic. The notion of (...
An abstract definition of probability can be given by considering a set S, called the sample space, ...