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

The Reproducing Kernel Hilbert Space Method for Solving System of Linear Weakly Singular Volterra Integral Equations

The exact solutions of a system of linear weakly singular Volterra integral equations (VIE) have been a difficult to find.  The aim of this paper is to apply reproducing kernel Hilbert space (RKHS) method to find th...

On the solutions of the heat, wave and Laplace equations with nonlocal conditions

In this paper, we present a new approach to solve nonlocal initial- boundary value problems for heat, wave and Laplace equations subject to initial, final and nonlocal boundary conditions of integral type. We first trans...

Some Properties of a Subclass of Univalent Functions

In this paper, we introduce a certain subclass of univalent functions Ἧ(f,g,V.M,α,β,Ï’) . We obtain some results, like, coefficient inequality, distortion theorem, extreme points, radii of close to convex and co...

Oscillation Criteria for Third-Order Nonlinear Delay Difference Equations

In this paper, we are concerned with oscillation of a class of third-order nonlinear delay difference equation of the form     We establish some new oscillation criteria by transforming this equation...

Application of Search Model to Detect Urhobo Names in Niger Delta Region of Nigeria: A Preliminary Study

This paper is designed to determine the accuracy of search words or names from a database using search vector. Generally, database consists of large collection of information. By specifying the search words or names this...

Download PDF file
  • EP ID EP651181
  • DOI 10.24297/jam.v2i1.6541
  • Views 207
  • 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