Altitude estimation using a probability density function

A non-transitory storage medium storing computer instructions configured to cause one or more computers to perform operations comprising:

• receiving a plurality of sets of location coordinates from one or more mobile devices, each set of location coordinates being associated with a wireless access device;
• determining an effective location of the wireless access device based on a statistical analysis of the received sets of location coordinates, wherein determining the effective location comprises:
• mapping the sets of location coordinates to a plurality of bins, each bin including a unit area in a geographic grid;
• selecting one or more bins from the plurality of bins based on a concentration of received location coordinates in each of the bins using:
• a probability density function;
• and
• a specified outlier threshold for identifying and excluding one or more outliers in the sets of location coordinates;
• and
• determining the effective location using sets of location coordinates in the selected one or more bins;
• and
• providing the effective location to a mobile device for determining an estimated location of the mobile device when the mobile device is located within a communication range of the wireless access device.

A system comprising:

• one or more computers;
• and
• a non-transitory medium storing computer instructions configured to cause the one or more computers to perform operations comprising:
• receiving a plurality of sets of location coordinates from one or more mobile devices, each set of location coordinates being associated with a wireless access device;
• determining an effective location of the wireless access device based on a statistical analysis of the received sets of location coordinates, wherein determining the effective location comprises:
• mapping the sets of location coordinates to a plurality of bins, each bin including a unit area in a geographic grid;
• selecting one or more bins from the plurality of bins based on a concentration of received location coordinates in each of the bins using:
• a probability density function;
• and
• a specified outlier threshold for identifying and excluding one or more outliers in the sets of location coordinates;
• and
• determining the effective location using sets of location coordinates in the selected one or more bins;
• and
• providing the effective location to a mobile device for determining an estimated location of the mobile device when the mobile device is located within a communication range of the wireless access device.