Properties of Bernoulli Distribution

This distribution is a special case of the ‘’two-point distribution”, for which the two possible results are not necessarily 0 and 1.
It is a particular case of the binomial distribution when we take n=1 in distribution of binomial.
For low and high values of ‘p’ the kurtosis goes on till infinity. The two-point distributions including the Bernoulli distribution show a lower excess kurtosis than any other probability distribution, namely -2.
For 0 = p = the binomial distributions form an exponential family
The maximum likelihood estimator of based on a random sample taken from population of bernoulli variates is the sample mean

© 2020 customphdthesis.com. All Rights Reserved. | Disclaimer: for assistance purposes only. These custom papers should be used with proper reference.