Some properties of a generalized type-1 Dirichlet distribution

This paper deals with a generalization of type-1 Dirichlet density by incorporating partial sums of the component variables. We study various proportions, structural decompositions, connections to random volumes and p-parallelotopes. We will also look into the regression function of xk on x1,...,xk-1, Bayes’ estimates for the probabilities of a multinomial distribution by using this generalized Dirichlet model as the prior density are given. Other results illustrate the importance of the study of variable x1 in this model. It is found that the variable x1 in this model can be represented as the ratio of squares of volumes of two parallelotopes. Under certain conditions, x1 can be used to study the structural representations of the likelihood ratio criteria in MANOVA, MANCOVA etc

Some properties of a generalized type-1 Dirichlet distribution

This paper deals with a generalization of type-1 Dirichlet density by incorporating partial sums of the component variables. We study various proportions, structural decompositions, connections to random volumes and p-parallelotopes. We will also look into the regression function of xk on x1,...,xk-1, Bayes’ estimates for the probabilities of a multinomial distribution by using this generalized Dirichlet model as the prior density are given. Other results illustrate the importance of the study of variable x1 in this model. It is found that the variable x1 in this model can be represented as the ratio of squares of volumes of two parallelotopes. Under certain conditions, x1 can be used to study the structural representations of the likelihood ratio criteria in MANOVA, MANCOVA etc

What Does the Informal Caregiver of a Terminally Ill Cancer Patient Need? A Study from a Cancer Centre

Aims: To assess the needs of informal caregivers of terminally ill cancer patients. Materials and Methods: Fifty four informal caregivers of patients registered in our palliative care service were interviewed 3-6 months after the death of the patient with the help of a semistructured questionnaire covering the physical, medical, psychological, social, and information domains. Results: Most of the caregivers were middle aged and had no prior experience of care giving. The caregivers were satisfied by the information and medical support provided to them by their treatment team. Most had an "emergency plan." Caregivers had unmet needs including homecare, psychological support, and financial help. Conclusions: informal caregivers provide most of the nursing and psychological support to the patient. However, palliative care services need to recognize that the caregiver too may need psychological and technical support