# 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.   PDF of Gamma Distribution A…

## 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 is a word used in statistics to describe a type of probability distribution in which every conceivable outcome has an equal chance of occurring. Because each variable has an equal chance of being the outcome, the probability is…

## Power Series Distribution definition, formula with applications

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

## 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…

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

Definition In a negative binomial experiment, a negative binomial random variable is the number X of repeated trials required to obtain r successes. A negative binomial distribution is the probability distribution of a negative binomial random variable. The Pascal distribution…

## 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…