I describe a software reliability growth model that yields accurate paramet
er estimates even with a small amount of input data. The model is based on
a proposed dis crete analog of a Gompertz equation that has an exact soluti
on. The difference equation tends to a differential equation on which the G
ompertz curve model is defined, when the time interval tends to zero. The e
xact solution also tends to the exact solution of the differential equation
when the time interval tends to zero. The discrete model conserves the cha
racteristics of the Gompertz model because the difference equation has an e
xact solution, Therefore, the proposed model provides accurate parameter es
timates, making it possible to predict in the early test phase when softwar
e can be released.