Abstract: Systems and methods are provided for performing operations comprising: storing a set of input data; generating a noise distribution based on a two-step function, wherein a height of the two-step function is determined by a privacy parameter, a width of the two-step function is determined by minimizing a variance of the noise distribution, and wherein a mean of the two-step function is determined by a value of the set of input data to be privatized; applying the noise distribution to the set of input data to generate privatized noisy output data; and transmitting the resulting privatized noisy output data in response to a request for a portion of, or a complete set of, the input data.

Abstract: A system and method are disclosed for estimating a number of unique users (e.g., the number of unique users accessing a website, etc.). In one aspect, one or more transactions occurring during a time frame and a plurality of unauthenticated unique identification records associated with the transactions are identified. The time frame is segmented into disjoint time intervals, and a respective bit pattern is determined for each of the unauthenticated unique identification records. A set of churn patterns is determined based on the bit patterns, and a number of expected unauthenticated unique identification records is determined based on the bit patterns and the churn patterns. A number of unique users is estimated based on the size of the set of churn patterns and the number of expected unauthenticated unique identification records.

Abstract: A server computer system receives event logs from one or more client devices for multiple consumption sessions of an online media item. The event logs are received based on random schedules. The system determines, for various times, a first number of consumption sessions during which an event log is scheduled to be sent at the corresponding times. The system determines, for the various times, a second number of consumption sessions during which an event log was sent to the server computer system at the corresponding times. The determinations being based on the event logs. The system determine, for each of the times, a probability that consumption time for the online media item is the corresponding time or less. The determination is based on the first number and the second number. The system determines consumption time metrics for the online media item based the probabilities for the plurality of times.

Abstract: This disclosure generally relates to systems and methods that facilitate employing a statistical model over a specified time frame divided into a plurality of time intervals for estimating a quantity of unique users from a set of unauthenticated unique identifiers, such as cookies, associated with accesses to one or more servers.