A Bivariate Generalized Exponential Model for the Effect of Endocrine Responses in Human with Postprandial Distress Syndrome

Abstract

Suppose a system has two components. Each component is subject to individual independent stress say 1 and 2 respectively. The system has an overall stress 3 which has been transmitted to both the components equally, independent of their individual stresses. Therefore, the observed stress at the two components are 1 = 1 , 3 and 2 = 2 , 3 respectively. If it is assumed that each component has been maintained independently and also there is an overall maintenance. Due to component maintenance, suppose the lifetime of the individual is increased by amount and because of the overall maintenance, the lifetime of each component is increased by 3 amount. The study in the Application part is fully characterized the neuroendocrine pathways involved in the gastric response to mental stress in patients with PDS. The increased severity of dyspeptic symptoms induced by acute mental stress in patients with PDS is associated with an enhanced sympathetic output and higher serum levels of stress hormones , ACTH , and cortisol. 1 , 2 ~ 1 , 2 , 3 , then the joint PDF of 1 , 2 for 1 > 0, 2 > 0, is obtained for the above two variables.

Bayesian estimation of the parameters of the bivariate generalized exponential distribution using accelerated life testing under censoring data

“…Let denote the inter-interval times between the shocks in source , = 1, 2, 3, which follow the distribution GE. [24] and Lakshmi and Durgadevi [22]). Kundu and Gupta (2009) defined a BVGE distribution and they used the method of maximum likelihood to estimate the four unknown parameters of the BVGE distribution from complete samples.…”

“…Ashour et al [6] estimated the unknown parameters of the BVGE distribution from censoring type-I samples with random censoring samples using the method of maximum likelihood. Lakshmi and Durgadevi [22] presented a study in the application part for the BVGE distribution. Assar and Abd El-Maseh [7] presented maximum likelihood estimation for the unknown parameters of the BVGE distribution under type-I censoring samples with accelerated life testing.…”