ABSTRACT
In this paper, new bivariate family of distributions based on any copula is established. Of this, we introduce new bivariate Topp-Leone family based on Farlie-Gumbel-Morgenstern (FGM) copula. As a special case, we concentrate our study in the new bivariate Topp-Leone-Exponential-Exponential (BFGMTLEE) distribution based on FGM copula. Some of its properties are developed such as product moments, moment generating function and entropy.
ABSTRACT
This paper focuses on the application of Markov Chain Monte Carlo (MCMC) technique for estimating the parameters of log-logistic (LL) distribution which is dependent on a complete sample. To find Bayesian estimates for the parameters of the LL model OpenBUGS-established software for Bayesian analysis based on MCMC technique, is employed. It is presumed that samples for independent non informative set of priors for estimating LL parameters are drawn from posterior density function. A proposed module was developed and incorporated in OpenBUGS to estimate the Bayes estimators of the LL distribution. It is shown that statistically consistent parameter estimates and their respective credible intervals can be constructed through the use of OpenBUGS. Finally comparison of maximum likelihood estimate and Bayes estimates is carried out using three plots. Additively through this research it is established that computationally MCMC technique can be effortlessly put into practice. Elaborate procedure for applying MCMC, to estimate parameters of LL model, is demonstrated by making use of real survival data relating to bladder cancer patients.
ABSTRACT
Langerhans cell histiocytosis (LCH) can involve multiple organs. "Primary" or isolated pulmonary LCH is a well-described entity in young adults but is exceedingly rare in children younger than 15 years of age. The authors report a new case in a 2-year-old girl and review other reported cases in the pediatric population. The patient had had respiratory symptoms since early infancy suggestive of hyperactive airway disease. At 2 years of age, she had severe pulmonary insufficiency with remarkable cystic changes noted on chest imaging studies. Biopsy of a pulmonary lesion confirmed the diagnosis of LCH. She had no other organ involvement. Pulmonary histiocytosis, though rare, should be considered in any child with chronic respiratory disease such as bronchial asthma, especially when the response to anti-asthma treatment is poor and/or there are cystic changes on the chest x-ray.
