# Distributions

## Probability Distributions in Statistics

In statistics, probability distributions are very important measure which related to the random variable and statistical data. Every data patern follows a probability distribution. Continuous data follow the continuous distribution and discrete data follow the discrete distributions. According to wikipedia,…

## Gamma Distribution definition, formula and applications

In probabilistic statistics, the gamma distribution is a two-parameter family of continuous probability distributions which is widely used in different sectors. The exponential distribution, Erlang distribution, and chi-square distribution are special cases of it. Gamma Distribution A continuous random variable…

## Exponential Distribution definition, formula with applications

In probabilistic statistics, the exponential distribution is the probability distribution of the time between events in a Poisson point process where events occur continuously and independently at a constant average rate. It is a special case of the gamma distribution.…

## Uniform Distribution definition, formula and applications

Uniform Distribution There are various continuous probability distributions such as uniform distribution, normal distribution, exponential distribution, gamma distribution, beta distribution, weibul distribution, cauchy distribution ect. Uniform distribution is a univariate continuous probability distribution with two parameter a and b. A continuous…

## Power Series Distribution definition, formula with applications

Power Series Distribution A discrete random variable X is said to have a generalised power series distribution if its probability function is given by,     where f(θ) is a generating function and  f(θ) is positive finite and diferentiable. Power…

## Logarithmic Series Distribution definition, formula, properties and applications

Logarithmic Series Distribution A discrete random variable X is said to have logarithmic series distribution if its probability density function is defined as,   where q is the parameter which lies between zero to one.   The name is…

## Negative Binomial Distribution definition, formula, properties with applications

Definition A discrete random variable X is said to have negative binomial distribution if its probability density function is defined as,   where r>0 and 0<=p<=1 are the two parameter of the distribution such that p+q=1. f(x;r,p) is the probability…

## Geometric Distribution: Definition, Properties and Applications

Definition   A discrete random variable X is said to have a geometric distribution if its probability density function is defined as,       where p is the only parameter of of geometric distribution which satisfy  0<=p<=1 and…

## Hypergeometric Distribution: Definition, Properties and Applications

In probability statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement, from a finite population of size N that contains exactly K objects with that feature, wherein each…

## Poisson Distribution: Definition, Properties and applications with real life example

The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period. A discrete random variable X is said to have Poisson distribution if…