Methods and apparatus to model on/off states of media presentation devices based on return path data

A computer-implemented method comprising:

• obtaining return path data indicative of a first tuning segment during which a set top box accessed first media;
• determining a standby timer duration associated with the set top box;
• accessing a modeled tuning segment duration distribution corresponding to the determined standby timer duration, wherein the modeled tuning segment duration distribution is based on modifications to at least some of a set of actual durations of second tuning segments representative of respective time durations during which monitored media presentation devices accessed respective media during the set of actual durations, wherein the modifications are based on the determined standby timer duration;
• and
• estimating a presentation time duration corresponding to the first tuning segment during which the first media accessed by the set top box is presented on a media presentation device based on (i) the modeled tuning segment duration distribution, (ii) the set of actual durations, and (iii) the first tuning segment.

A non-transitory computer-readable medium having stored thereon computer readable instructions that, when executed by a processor, cause performance of operations comprising:

• obtaining return path data indicative of a first tuning segment during which a set top box accessed first media;
• determining a standby timer duration associated with the set top box;
• accessing a modeled tuning segment duration distribution corresponding to the determined standby timer duration, wherein the modeled tuning segment duration distribution is based on modifications to at least some of a set of actual durations of second tuning segments representative of respective time durations during which monitored media presentation devices accessed respective media during the set of actual durations, wherein the modifications are based on the determined standby timer duration;
• and
• estimating a presentation time duration corresponding to the first tuning segment during which the first media accessed by the set top box is presented on a media presentation device based on (i) the modeled tuning segment duration distribution, (ii) the set of actual durations, and (iii) the first tuning segment.