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,…
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…
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 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 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 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…
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…
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…
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…
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…
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