Proof Data Revival Formula

By Kardi Teknomo, PhD.

<Previous | Next | Contents>

I write again equation (5) for your convenient:

                                                               (5)

We can rearrange equation (5) to give :

, or

                                                                           (a)

Preparing for other terms:

                                                                      (b)

                                                                     (c)

I write again equation (4) in here:

                                              (4)

Putting equation (b) and (c) into equation (4) gives

                               (d)

We want to get the value of   from equation (d). For this purpose we arrange equation (d) so that it will give a quadratic equation in .

Rearrange for :

            (e)

The discriminant of the quadratic equation is

(proved)

<Previous | Next | Contents>

These tutorial is copyrighted.

Preferable reference for this tutorial is

Teknomo, Kardi. (2006) Recursive Average and Variance.
http://people.revoledu.com/kardi/tutorial/RecursiveStatistic/index.html