Statements (14)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            submartingales
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:probability_theory
                                        
                                         | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:Joseph_L._Doob
                                        
                                         | 
                            
| gptkbp:provides | 
                                    
                                        
                                            
                                            bound on the probability that the maximum of a submartingale exceeds a level
                                        
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Doob's_martingale_convergence_theorem
                                        
                                         gptkb:Kolmogorov's_inequality  | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            
                                            stochastic processes
                                        
                                        
                                         martingale theory analysis of random walks  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Ville's_inequality
                                        
                                         gptkb:J._L._Doob  | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Doob's maximal inequality
                                        
                                        
                                         |