Gamma Function and Gamma Probability Density Function

Gamma Probability Density Function

Gamma function and Gamma Probability Distribution Gamma function and Gamma probability density both are very important concepts in mathematics and statistics. Furthermore, understanding Gamma function and Gamma probability density helps to understand chi-square distribution which plays very important role in machine learning. Especially, in Decision Tree Learning Chi-Square distribution used. In this post, I will … Read more Gamma Function and Gamma Probability Density Function

Expectation in Statistics

Expectation in Statistics

Expectation  in statistics Expectation  in statistics is the weighted average of a random variable with its probability. Suppose you toss three coins, then think of event to turn heads up. Random variable associates number of occurrence of event to its probability. i.e. Expectation of random variable X is denoted by E(X). 1- Expectation of a … Read more Expectation in Statistics

Poisson Distribution in Statistics

Mean of Poisson Distribution Variable X

A random variable X is said to follow Poisson distribution, if it follows the following probability distribution function. Poisson distribution is a discrete probability distribution. It models the following types of problems Find out number  of new born babies in a city in certain time duration. Find out defective materials in manufactured by a company. … Read more Poisson Distribution in Statistics

Random variables and Probability Distribution Functions

To understand random variable first you have to know about events.  I will make you understand using examples. What are events? Example Tossing three coins on which one head turns up {HT,HH} A random variable quantify   events of  occurence. In other words, a random variable X is a function from set of events to real … Read more Random variables and Probability Distribution Functions

Mutually Exclusive and Independent Events

Mutually Exclusive Events- Two or more events events are said to be mutually exclusive if only one can happen at a time. Example-1 In tossing a coin, event of tail up (T) and even of heads up (H) can not happen simultaneously. They are mutually exclusive events. Example-2 In rolling of a dice, event of  … Read more Mutually Exclusive and Independent Events