BENFORD'S LAW

What is Penford Law?

1-Language of numbers

What is the link between the phone and Japanese sticks?

• The phone has numbers and numbers can be hit by one another and hitting is one of the basics of karate and karate game Japanese game and Japanese are using Japanese sticks                         Despite the naivety of this logic behind this analysis, in reality there is something similar to this logic in statistics (Benford Law)                                                                                               I will explain to you an example and a detailed way                                                                      If I told you what is the relationship between the population of Spain and the distance between all the stars we know to the Earth and the number of followers of all accounts on Twitter                                                                                                                                              Mostly you will be surprised now, but wait, you will understand everything, just follo

If we take a first sheet and write all the cities in Spain (or any country you want)                                  and you write in front of each city among them its population                                                                                             Madrid         6.5 million people                                                                                                                Barcelona      5.5 million people                                                                                                                   .........               ................                                                                                               And so on until you finish all the cities

Take a second sheet and write the names of all the stars that we know and write in front of each star the distance between it and the Earth                                                                                                                                 The sun             150 million km                                                                                                                  Vega                237million km                                                                                                                     .......                    .............                                                                                           And this .........    

And take a third sheet and write in it all the names of the accounts on Twitter and write in front of each account how many followers it has ....                                                                                                                                           Afaf                201 followers                                                                                                                Donald Trump       70 million followers                                                                                                     Mohamed Salah     11 million followers                                                                                                    ...........                       ..........                                                                                  And this .........                                                                                                                                              What is meant by these large tables that have nothing to do with each other? I will tell you that these numbers follow a law called the Benford Law

Frank Benford increased in 1938 and is a physicist

   

He says utterly dangerous words about the so-called leading dijit It is the first number on the left such as Madrid 6500000 and leading dijit is 6 The distance between the Earth and the sun is 150,000,000km leading dijit is 1

Benford's law says that the leading dijit (the first number) in these tables is in the following proportions  

                                                                                                                                                                leading dijit          ratio                                                                                                                                         1               30.1%                                                                                                                                       2               17.6%                                                                                                                                       3               12.5%                                                                                                                                       4               9.7%                                                                                                                                         5               7.9%                                                                                                                                         6               6.7%                                                                                                                                         7               5.8%                                                                                                                                         8               5.1%                                                                                                                                         9               4.6%                                                                                                                                                

Is this talk logical or illogical ??????

Because there is no relationship between Madrid residents and Mohamed Salah and the sun star, there is no logical reason between these numbers in your view

You don't have to try it yourself. Take a page from a newspaper that has many numbers to clearly show you a law

Penford: Count how many times you start the counter with the number 1 then 2 and 3 ... until 9

I am not talking about the page number. I am talking about numbers for money or stock exchange prices,

You will find that these numbers all follow Benford's law

But the numbers to which the Benford Law applies must be:

First, they are mixed with SPAM SEVERAL ORDRS OF MAGNIYUDE                                Example: population of cities and countries, income distributions, or stock prices ....            

  Second, the set of numbers does not have to be specified within a certain rang              Example: data on the masses or lengths of a group of people ....

After Benford published this idea, a group of researchers in various fields such as (economics, sociology, physics, computers, and biology) experimented with this law on all kinds of data imaginable. Each one in his field. She confirmed that the numbers they possessed follow the Benford Law in a surprising way, no matter how random the number