Foundations of Biostatistics by M. Ataharul Islam & Abdullah Al-Shiha

Author:M. Ataharul Islam & Abdullah Al-Shiha
Language: eng
Format: epub
Publisher: Springer Singapore, Singapore

and the distribution of , where X is the sum of n Bernoulli variables, is

where the number of mutually exclusive events is . This probability function is similar to the likelihood function of the Bernoulli distribution for but the difference between the Bernoulli and binomial trials is that in Bernoulli trial, we are interested in the sequence of outcomes for elements in a Bernoulli trial but in total number of successes, X, out of n in a binomial distribution where n is fixed. Then the likelihood function of p for known value of n is

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