Volume no :11, Issue no: 2, October (2011)

SOME WONDERFUL STATISTICAL PROPERTIES OF PI-NUMBER DECIMAL DIGITS

Author's: MORTEZA KHODABIN
Pages: [69] - [77]
Received Date: September 23, 2011
Submitted by:

Abstract

In this paper, we have considered an elementary statistical inference about the first 40960 digits of We can see that, in the wonderful, in apogee of irregularity, they have intuitive regularity. Based on this study and according to number of decimal digits used for this analysis, we can guess that probably, this intuitive regularity can be established for all Pi-number decimal digits.

Keywords

Pi-number, uniform distribution, run tests, chi-square test, Shannon entropy.