Preprint Article Version 1 NOT YET PEER-REVIEWED

Testing Ststistical Hypothesis in Light of Mathematical Aspects in Analysis of Probability

  1. Division of Behavioral and Social Sciences of National Academy of Sciences, Washington, DC, USA
Version 1 : Received: 22 July 2016 / Approved: 23 July 2016 / Online: 23 July 2016 (09:25:13 CEST)

How to cite: Fundator, M. Testing Ststistical Hypothesis in Light of Mathematical Aspects in Analysis of Probability. Preprints 2016, 2016070069 (doi: 10.20944/preprints201607.0069.v1). Fundator, M. Testing Ststistical Hypothesis in Light of Mathematical Aspects in Analysis of Probability. Preprints 2016, 2016070069 (doi: 10.20944/preprints201607.0069.v1).

Abstract

The philosophy of testing statistical hypothesis is a natural consequence and functional extension of mathematical analysis of Probability. Along with the concept of recurrence when applied to random sequences and functions, it leads to the analysis of a priori and posterior which implies testing statistical hypothesis. Testing statistical hypothesis also involves algebraic, functional and dimensional considerations, which are found in the works of Laplace. Aspects of mathematical analysis such as universality of solutions, Laws of Large Numbers, Entropy, Information, and various functional dependencies are the main factors explained in the five properties that lead to implication of testing statistical hypothesis. Various interesting examples with modern scientific significance from genetics, astrophysics, and other areas give methodological access to answers of different problems and phenomena which are involved in the logic of testing statistical hypothesis.

Subject Areas

Principal of prediction; random sequences; recurrence; Law of Large Numbers; exponential; normal; bivariate; distribution; Entropy; Information

Readers' Comments and Ratings (0)

Discuss and rate this article
Views 173
Downloads 151
Comments 0
Metrics 0
Discuss and rate this article

×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.