An estimation system that estimates an arrangement of objects arranged in an arrangement space in which wireless devices are respectively connected to the objects in a one-to-one relationship, each object having specific information that is assigned when the object is shipped or produced to specify the object, the estimation system comprising: an estimation unit configured to obtain information related to an arrangement pattern of the objects as first information and obtain, from the wireless devices, response times between the wireless devices as second information to estimate the arrangement of the objects based on the first information and the second information, wherein the first information includes respective object-to-object distances (x1, x2, x3) or object-to-object distance rations of the objects arranged in the arrangement space; the estimation unit is configured to: obtain the identification numbers of two objects related to the corresponding object-to-object distance (x1, x2, x3) or to the corresponding object-to-object distance ratio based on the first information; obtain the identification numbers of two wireless devices related to the second information, when obtaining the second information; estimate a combination of the identification numbers of the objects and the identification numbers of the wireless devices based on an array having the object-object distances (x1, x2, x3) or the object-to-object distance ratios as elements and an array having the response times as elements; obtain specific information of the objects respectively connected to the wireless devices from the wireless devices; and associate the specific information of the objects with the identification numbers of the objects in the arrangement pattern based on the combination of the identification numbers of the objects and the identification numbers of the wireless devices and the specific information of the objects in the arrangement pattern. an estimation unit configured to obtain information related to an arrangement pattern of the objects as first information and obtain, from the wireless devices, response times between the wireless devices as second information to estimate the arrangement of the objects based on the first information and the second information, wherein the first information includes respective object-to-object distances (x1, x2, x3) or object-to-object distance rations of the objects arranged in the arrangement space; the estimation unit is configured to: obtain the identification numbers of two objects related to the corresponding object-to-object distance (x1, x2, x3) or to the corresponding object-to-object distance ratio based on the first information; obtain the identification numbers of two wireless devices related to the second information, when obtaining the second information; estimate a combination of the identification numbers of the objects and the identification numbers of the wireless devices based on an array having the object-object distances (x1, x2, x3) or the object-to-object distance ratios as elements and an array having the response times as elements; obtain specific information of the objects respectively connected to the wireless devices from the wireless devices; and associate the specific information of the objects with the identification numbers of the objects in the arrangement pattern based on the combination of the identification numbers of the objects and the identification numbers of the wireless devices and the specific information of the objects in the arrangement pattern. obtain the identification numbers of two objects related to the corresponding object-to-object distance (x1, x2, x3) or to the corresponding object-to-object distance ratio based on the first information; obtain the identification numbers of two wireless devices related to the second information, when obtaining the second information; estimate a combination of the identification numbers of the objects and the identification numbers of the wireless devices based on an array having the object-object distances (x1, x2, x3) or the object-to-object distance ratios as elements and an array having the response times as elements; obtain specific information of the objects respectively connected to the wireless devices from the wireless devices; and associate the specific information of the objects with the identification numbers of the objects in the arrangement pattern based on the combination of the identification numbers of the objects and the identification numbers of the wireless devices and the specific information of the objects in the arrangement pattern.