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

Robust H1 control for a class of switched nonlinear systems

This article is concerned with the robust H1 control problem of a class of switched nonlinear systems with norm-bounded time-varying uncertainties. The system considered in this class is composed of two parts: a uncertai...

Effect of Delta Operator on Umbral Composition in Finite Operator calculus

The main objective of this paper is to propose the matrix representation of umbral composition and investigate the effect of delta operator on umbral composition by using the sequential representation of delta operator i...

Forecasting mortality patterns of thalassaemia major patients in Iraq by using VAR model and reasons for this mortality

The vector autoregression model (VAR) is a natural extension of the univariate autoregressive model dynamic multivariable time series. It is one of the most successful, flexible, and easy to use models for the analysis o...

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...

A paradigm shift in mathematical physics, Part 4: Quantum computers and the local realism of all 4 Bell states

Can quantum information systems be understood using local realism? The consensus is No. Quantum information is based on qubits and Bell states. According to conventional wisdom these cannot be understood using local real...

Download PDF file
  • EP ID EP651181
  • DOI 10.24297/jam.v2i1.6541
  • Views 209
  • Downloads 0

How To Cite

Muntazim Abbas Hashmi (2013). Bayesian Rule of Multiple Hypothesis testing: Past and Present. JOURNAL OF ADVANCES IN MATHEMATICS, 2(1), 53-61. https://europub.co.uk/articles/-A-651181