Theory and Applications of the Unit Gamma/Gompertz Distribution

Unit distributions are commonly used in probability and statistics to describe useful quantities with values between 0 1, such as proportions, probabilities, percentages. Some unit defined a natural analytical manner, the others derived through transformation of an existing distribution greater domain. In this article, we introduce gamma/Gompertz distribution, founded on inverse-exponential scheme distribution. The is known be very flexible three-parameter lifetime aim transpose flexibility interval. First, check aspect behavior primary functions. It shown that density function can increasing, decreasing, “increasing-decreasing” “decreasing-increasing”, pliant asymmetric properties. On other hand, hazard rate has monotonically or constant shapes. We complete theoretical part some propositions stochastic ordering, moments, quantiles, reliability coefficient. Practically, estimate model parameters from data, maximum likelihood method used. present simulation results evaluate method. Two applications using real data sets, one trade shares flood levels, demonstrate importance new when compared models.