If Miranda warnings were not given and incriminating statements were made by the defendant, those statements are inadmissible as is evidence obtained as the direct result of those inadmissible statements. If there is other evidence independent of the incriminating statements, the case may proceed  and if that independent evidence establishes guilt beyond a reasonable doubt, the defendant could be convicted. The judge in the case will determine the effect of the incriminating statements made without Miranda warnings and whether or not there is sufficient evidence independent of those incriminating statements to proceed with the case or whether the case should be dismissed.