Editing Stochastic process (section)

===Bernoulli process===
{{Main|Bernoulli process}}

One of the simplest stochastic processes is the [[Bernoulli process]],<ref name="Florescu2014page293"/> which is a sequence of [[independent and identically distributed]] (iid) random variables, where each random variable takes either the value one or zero, say one with probability <math>p</math> and zero with probability <math>1-p</math>. This process can be linked to an idealisation of repeatedly flipping a coin, where the probability of obtaining a head is taken to be <math>p</math> and its value is one, while the value of a tail is zero.<ref name= "Florescu2014page301">{{cite book| first= Ionut |last= Florescu|title=Probability and Stochastic Processes|url=https://books.google.com/books?id=Z5xEBQAAQBAJ&pg=PR22|year=2014|publisher=John Wiley & Sons|isbn=978-1-118-59320-2|page=301}}</ref> In other words, a Bernoulli process is a sequence of iid Bernoulli random variables,<ref name="BertsekasTsitsiklis2002page273">{{cite book| first1= Dimitri P.| last1= Bertsekas| first2= John N. |last2= Tsitsiklis|title=Introduction to Probability |url= https://books.google.com/books?id=bcHaAAAAMAAJ|year=2002|publisher= Athena Scientific| isbn=978-1-886529-40-3|page=273}}</ref> where each idealised coin flip is an example of a [[Bernoulli trial]].<ref name="Ibe2013page11">{{cite book| first= Oliver C. |last= Ibe |title= Elements of Random Walk and Diffusion Processes|url=https://books.google.com/books?id=DUqaAAAAQBAJ&pg=PT10|year=2013|publisher=John Wiley & Sons|isbn=978-1-118-61793-9 |page= 11}}</ref>