Bayesian Rule of Multiple Hypothesis testing: Past and Present
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 2, Issue 1
Abstract
The era of emerging mathematical techniques towards Hypothesis Testing is between 1908 to 2003. History of hypothesis testing is based on some distinct scientists which are discussed in this article. Several of works are there from different decades and from different authors, some of them have been considered briefly. Also works considered on two main different approaches and their comparison. The generalized concepts using different approaches towards hypothesis testing is discussed and compared with each other. Most impotent consideration in this article is the Bayesian decision theoretic approach and its generalization in the work of K. J. Kachiashvilli (2003). This work can be considered as a description of the problem related to the problems of multiple hypothesis testing and decision theory. To evaluate efficacy in multiple endpoints in confirmatory clinical trials is a challenging problem in multiple hypotheses testing which can be solved using this approach.
Authors and Affiliations
Muntazim Abbas Hashmi
Keywords
Related Articles
- EP ID EP651181
- DOI 10.24297/jam.v2i1.6541
- Views 221
- Downloads 0
Optimizing the returns and Probability of Survival of Insurance Company with time varying Investment returns
This study focuses on obtaining investment strategies that are optimal in the sense of optimizing the returns and the probability of survival of an insurance company. we take the risk reserve of an insurance company to f...
MODELLING NIGERIA POPULATION GROWTH RATE
Thomas Robert Malthus Theory of population highlighted the potential dangers of over population. He stated that while the populations of the world wouldincrease in geometric proportions, the food resources available for...
Solvable subgroups of maximal order of some finite simple groups of Lie type
The aim of this work is using the information in the ATLAS of Finite Groups and the GAP computational system , to determine the solvable subgroups of maximal orders in some finite non-abelian simple group of Lie type whi...
Designing an appropriate adaptive controller for synchronizing a bi-oscillator heart model with time delay
In this paper, synchronization of heart follower oscillator which has lower frequency AV with heart leader oscillator which has dominant frequency SA will be studied. It can be seen if two nodes SA and AV are not synchro...
Some Remarks on Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces.
In this paper , we show that multidimensional ( coupled, tripled, quadrupled, n-tupled) theorems can be reduced to unidimensional fixed point theorems. . Our results generalize, extend and improve the coupled...