The convolution of Nadarajah-Haghighi-G family of distributions will result <span style="font-family:Verdana;">into a more flexible distribution (Nadarajah-Haghighi Gompertz distribution) </span>...The convolution of Nadarajah-Haghighi-G family of distributions will result <span style="font-family:Verdana;">into a more flexible distribution (Nadarajah-Haghighi Gompertz distribution) </span><span style="font-family:Verdana;">than each of them individually in terms of the estimate of the characteristics in there parameters. The combination was done using Nadarajah-Haghighi </span><span style="font-family:Verdana;">(NH) generator. We investigated in the newly developed distribution some basic </span><span style="font-family:Verdana;">properties including moment, moment generating function, survival rate function, hazard rate function asymptotic behaviour and estimation of parameters. The proposed model is much more flexible and has a better representation of data than Gompertz distribution and some other model considered. A real data set was used to illustrate the applicability of the new model.</span>展开更多
文摘The convolution of Nadarajah-Haghighi-G family of distributions will result <span style="font-family:Verdana;">into a more flexible distribution (Nadarajah-Haghighi Gompertz distribution) </span><span style="font-family:Verdana;">than each of them individually in terms of the estimate of the characteristics in there parameters. The combination was done using Nadarajah-Haghighi </span><span style="font-family:Verdana;">(NH) generator. We investigated in the newly developed distribution some basic </span><span style="font-family:Verdana;">properties including moment, moment generating function, survival rate function, hazard rate function asymptotic behaviour and estimation of parameters. The proposed model is much more flexible and has a better representation of data than Gompertz distribution and some other model considered. A real data set was used to illustrate the applicability of the new model.</span>