ON THE NEW FAMILY OF KIES BURR XII DISTRIBUTION

Abstract

We propose a new lifetime model derived from the T-X generator called the new family of Kies Burr XII (NFKBXII) distribution. The NFKBXII density function is symmetrical, right-skewed, left-skewed, J, reverse-J, U and exponential shaped. The NFKBXII model failure rates can be monotone and non-monotone in shapes depending on the selection of the parameters. To show the importance of the NFKBXII distribution, we establish various mathematical properties such as random number generator, moments, density functions of record values, reliability and characterizations. We address the maximum likelihood estimates (MLE) for the NFKBXII parameters. We estimate the precision of the maximum likelihood estimators via a simulation study. We consider an application to serum-reversal times to clarify the potentiality and utility of the NFKBXII model along with NKBXII, KMBXII, KBXII, NKL, KL, MBXII, MBIII, Weibull and inverse Weibull distributions. We apply goodness of fit statistics (GOFs), various model selection criteria, and graphical tools to examine the adequacy of the NFKBXII distribution.