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A description of the "point of regeneration" method used to obtain simple, sequential equations for determining the complete probability density function for multiple occurrences of events in a Bernoulli sequence. Both the independent and overlapping classes of recurrent events are included in the general framework of these equations. The equations also lead to the generating function for the probability distribution which is used to obtain the expected recurrence times for the different classes of recurrent events. The methods and results of this study are applicable to problems in automatic control, communications, and information processing.

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