مؤسسة الإزدواج والأسرة في ضوء الشريعة الاسلامية

Allah Almighty has created everything in pairs. It is a scientific fact that these pairs exist in all things, in vegetable kingdom, even in inorganic matters. There is no doubt that these elements do not exist by themselves. The Holy Quran has mentioned repeatedly this fact in different verses. Marriage in Islam is a divine bond between husband and wife to enjoy the social relationship with each other and is a basic unit of Islamic  family system. This article presents the structure of a Muslim Family in the light Islamic teachings.

Statistical Analysis of the Lifetime Mixture Models under Bayesian Approach

This thesis deals with statistical analysis of the lifetime mixture models under Bayesian approach. Type-I right censored sampling scheme is used. Choice of distribution is made keeping in view the originality and applicability. These contain Inverse Rayleigh, Gun- mbel Type-II, Frechet, Inverse Weibull and Inverted Exponential distributions. These mixtures distribution have not been explored so far in Bayesian setup. Bayes estimators for the parameters of the mixture models are derived in closed form using type-I right censoring. To conduct Bayesian analysis, informative and non- informative priors are considered while three di erent loss functions, Squared error loss function, Precautionary loss function and DeGroot loss function are employed. A thor- ough simulation study is made to scrutinize the properties of proposed Bayes estimators. For the Inverse Weibull model, when all the parameters are unknown, Bayes estimators can not be gained in closed form, thus importance sampling technique is used to get the Bayes estimate in this case. For the elicitation of hyperparametrs , we used prior predictive and prior mean method. Limiting expressions of the Bayes estimators and their corresponding posterior risks are also derived. For the Inverse Weibull distribution, Bayes estimators and the posterior risks for reliability function are also discussed. Graphical representation of the simulation analysis results are also presented for each mixture model. Applications of these mixture models are also o ered by applying a real data set in each case.