Maximum length of a series in a Markovian binary sequence with an application to the description of a basketball game
Tom 33 / 2006
                    
                    
                        Applicationes Mathematicae 33 (2006), 61-69                    
                                        
                        MSC: Primary 60G35; Secondary 60K20.                    
                                        
                        DOI: 10.4064/am33-1-5                    
                                    
                                                Streszczenie
The recurrence formulas for the probability distribution function of the maximum length of a series of 1's in a binary 0-1 Markovian sequence are analysed and the limiting distribution estimated. The result is used to test a semi-Markov model of basketball games.