A Mathematical Model for the Age-Related analysis of Inhibin A, Inhibin B and Activin A relative to the intercycle Monotropic Follicle Stimulating Hormone Rise in Normal Ovulatory Women

The Beta-Weibull distribution is a highly flexible one and due to its flexibility it can be accommodate the four types of the risk function (increasing, decreasing, unimodal and bathtub). Depending on its parameters it can be used in a variety of problems in modeling survival data. The Log-Beta Weibull (LBW) distribution is defined by the logarithm of the beta Weibull random variable. In this paper the LBW distribution is proposed as the LBW regression model, which is a feasible alternative for modeling the four existing type of failure rate functions. The purpose of the LBW regression model is to find out the likelihood estimator for the Peripheral levels of LH, FSH, estradiol, inhibin A, inhibin B and activin A normalized to the LH surge in the two consecutive cycles (Cycle 1 & Cycle 2) and intercycle FSH peak in older subjects and younger controls. The log-likelihood estimator is find out using the equation (1.10) and the corresponding results are given in the Mathematical Results.