EC255 Lecture Notes - Lecture 4: Unimodality, Exponential Distribution, Normal Distribution
Document Summary
Each occurrence is independent of the other occurrences. It describes discrete occurrences over a continuum or interval. The occurrences in each interval can range from zero to infinity. The expected number of occurrences must hold constant throughout the experiment. The binomial distribution describes a distribution of two possible outcomes designated as success and failure from a given number o trials. The poisson distribution focuses only on the number of secrete occurrences over some interval or continuum. A poisson experiment does not have a given number of trials (n) as a binomial experiment does. The poisson distribution describes the occurrence of rare evens has been referred to as the law of improbable events. It is often used to describe the number of random arrivals per some time interval. If the number of arrivals per interval is too frequent, the time interval can be reduced enough so that a rare number of occurrences is expected.
