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Category Archives: Statistics
The Coronavirus Curve – A simple simulator
Here is an implementation for a simple ODE simulation of the COVID-19 curve. The simulator runs based on a set of first order ordinary differential equations (ODEs). These equations are dependent and measure three values including the change in the … Continue reading
Posted in Linux, Machine Learning, programming, Python, Software, Statistics, Ubuntu
Tagged code, coronovirus, COVID, COVID-19, differential equation, example, infection, infection rate, matplotlib, numpy, ode, ordinary differential equation, prediction, programming, python, scipy, simulation, software, source code, transmission, transmission rate
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Linear Transformation of Random Variables
Linear Transformation of Random Variables is a very basic yet important operation in Statistics results of which are extensively used in different methods and algorithms in Machine Learning. Assume is a linear function, , where, is a random variable, and … Continue reading
Probability – Basic Lesson 4
In the previous lesson, we saw the definition of Expectation. Here the definition of Variance (and Standard Deviation) is given. Variance means that how much variability is in around its mean value (expected value) , and it can be written … Continue reading
Posted in Machine Learning, Statistics, Thoughts
Tagged easy, example, expectation, Machine Learning, mathematics, probability, simple, standard deviation, tutorial, variance
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Probability – Basic Lesson 3
Here I give an example for calculating Expectation and Variance for discrete random variables. The Expectation of a variable is the average value of a function under a probability and can be written as follows: in a continuous representation the … Continue reading
Posted in Machine Learning, Statistics, Thoughts
Tagged average, continuous, discrete, example, expectation, mathematics, probability, simple, statistica, variance
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Probability – Basic Lesson 2
Check out my previous post on the four main rules of probability first and come back to this post to see a very nice example. Example: Consider we have two boxes a blue and a green, there are a number … Continue reading
Probability – Basic Lesson 1
Main rules of probability that make life easier. Consider two random variables and , we denote the probability of X occurring as . Also means that the probability of given has happened and it is called the marginal probability. If … Continue reading
Posted in Machine Learning, Statistics, Thoughts
Tagged basic, bayes, easy, explanation, joint probability, Machine Learning, marginal probability, mathematics, probability, product, rule, rules, statistics, sum, theorem
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What is Expected Value? (simply explained with example)
If we have a random variable, that can take value with probability , value with probability and so on, then the expected value for this random variable can be calculated as: To simplify the problem, we can consider rolling a … Continue reading
Posted in Linux, Machine Learning, MATLAB, Statistics, Ubuntu
Tagged algorithm, artificial intelligence, calculate, code, continuous, die, discrete, easy, estimate, example, expected value, integral, lerning, linux, math, mathematics, Matlab, mean, PDF, probability, probability density function, programming, random variable, roll, software, source code, statistics, step, step by step, sum, tutorial, value, windows
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Random number generation with different probability distribution – MATLAB
When programming with MATLAB, often you need to generate random numbers either uniformly or with a normal distribution. There are two main functions, namely `rand` and `randn`, that take care of this problem. Here I want to show you a … Continue reading
Posted in Linux, Machine Learning, MATLAB, programming, Software, Statistics, Ubuntu
Tagged binomial, code, distribution, easy, gamma, gamma distribution, generation, linux, logistic, loglogistic, math, mathematics, Matlab, nakagami, negative binomial, normal, normal distribution, number, poisson, programming, random, rician, software, source code, statistics, step, step by step, tutorial, uniform, uniform distribution, weibul, windows
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How to carry out an operator with probability p – Optimization Algorithms
When implementing optimization algorithms, we often bump into this phrase: “an operator needs to be carried out with probability P”. For instance, this can happen when implementing the crossover or mutation phases in Evolutionary Algorithms. It means that you want … Continue reading
Posted in Linux, Machine Learning, MATLAB, Optimization, programming, Reinforcement Learning, Robotics, Software, Statistics, Ubuntu
Tagged algorithm, code, distribution, easy, example, linux, Machine Learning, math, mathematics, Matlab, operator, optimization, probability, programming, random, robot, sampling, statistics, step, step by step, tutorial, uniform, variable, windows
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