Negative Binomial Distribution

The negative binomial distribution is used to calculate the probability that there are 'x' failures preceding the rth success in 'x+r' Bernoulli trials. Let X be a random variable following the negative binomial distribution with...

Moment Generating Function

The Moment Generating Function (mgf) is a function that on being differentiated gives us the raw moments of a probability distribution Given a random variable X, the rth raw moment is defined as E...

Limiting Distribution

Limiting distributions (also called asymptotic distributions) refers to the probability distributions to which a sequence of random variable converge as the sample size grows larger and larger. Use of limiting distributions: Limiting distributions are useful because...

Noncentrality parameter

Noncentrality parameter is a value that describes how far a probability density curve has been shifted from the usual central value. The usual central distributions that we are familiar with such as Chi-square distribution,...

Trinomial Distribution

The trinomial distribution is a discrete probability distribution used to calculate probabilities in situations where a trial having three possible outcomes is repeated ‘n’ number of times. It is a generalization of the binomial...

Continuity Correction Factor

The continuity correction factor is the change we make in the value of the variable by adding or subtracting 0.5 in order to calculate probabilities whenever a discrete random variable is being approximated by...

Hypergeometric Distribution

The hypergeometric distribution is a discrete probability distribution that arises when we try to draw a random sample without replacement from a given population. For example, suppose there are N balls in a bag...

Memoryless Property

The memoryless property is a property of a probability distribution that tells us that the chances of an event occurring now are independent of whether the event has occurred in the past or not....