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
A power series distribution is a discrete probability distribution that applies to a subset of natural numbers. The distribution’s names derive from the fact that the power series is used to construct them. This broad category of distributions includes…
Logarithmic Series Distribution definition, formula, properties and applications
The logarithmic series distribution is a discrete probability distribution obtained from the Maclaurin series expansion. Sometimes it is known as log-series distribution. It has a long right tail with one parameter, which ranges from 0 to 1. The distribution is…
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
A geometric distribution is a discrete probability distribution that illustrates the probability that a Bernoulli trial will result in multiple failures before success. A Bernoulli trial is an experiment that can have only two possible outcomes, i.e., success or…
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…