The classical version is defined as the ratio of the number of elementary events ( e . g . the number of times a die is thrown ) to the total number of events.
12.
Some " mixed " distributions contain both stretches of continuous elementary events and some discrete elementary events; the discrete elementary events in such distributions can be called "'atoms "'or "'atomic events "'and can have non-zero probabilities.
13.
Some " mixed " distributions contain both stretches of continuous elementary events and some discrete elementary events; the discrete elementary events in such distributions can be called "'atoms "'or "'atomic events "'and can have non-zero probabilities.
14.
Some " mixed " distributions contain both stretches of continuous elementary events and some discrete elementary events; the discrete elementary events in such distributions can be called "'atoms "'or "'atomic events "'and can have non-zero probabilities.
15.
An event A _ i is a set of one or more of the elementary events within a sample space . \ Omega is the set of all elementary events, and O is the empty set.
16.
An event A _ i is a set of one or more of the elementary events within a sample space . \ Omega is the set of all elementary events, and O is the empty set.
17.
For large numbers, the Poisson distribution approaches a normal distribution about its mean, and the elementary events ( photons, electrons, etc . ) are no longer individually observed, typically making shot noise in actual observations indistinguishable from true Gaussian noise.
18.
A hyper-random event is described by a tetrad ( \ Omega, \ Im, G, P _ g ), where \ Omega is a space of elementary events \ omega in \ Omega, \ Im is a Borel field, G is a set of conditions g \ in G, and P _ g is a probability measure on subsets of events, depending on the condition g.
