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. Preprints2016, 2016070069. https://doi.org/10.20944/preprints201607.0069.v1
Fundator, M. Testing Ststistical Hypothesis in Light of Mathematical Aspects in Analysis of Probability. Preprints 2016, 2016070069. https://doi.org/10.20944/preprints201607.0069.v1
Fundator, M. Testing Ststistical Hypothesis in Light of Mathematical Aspects in Analysis of Probability. Preprints2016, 2016070069. https://doi.org/10.20944/preprints201607.0069.v1
APA Style
Fundator, M. (2016). Testing Ststistical Hypothesis in Light of Mathematical Aspects in Analysis of Probability. Preprints. https://doi.org/10.20944/preprints201607.0069.v1
Chicago/Turabian Style
Fundator, M. 2016 "Testing Ststistical Hypothesis in Light of Mathematical Aspects in Analysis of Probability" Preprints. https://doi.org/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.
Keywords
Principal of prediction; random sequences; recurrence; Law of Large Numbers; exponential; normal; bivariate; distribution; Entropy; Information
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
