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October 30th, 2016, 10:36 PM  #1 
Senior Member Joined: Feb 2014 Posts: 114 Thanks: 1  Change shape
Hello, Can we change histogram shape , to consider after change shape ,area of histogram be 1 ? 
October 31st, 2016, 12:29 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,788 Thanks: 708 
Question is too vague. Any histogram can be scaled to make the area 1, with or without changing shape.

October 31st, 2016, 08:54 PM  #3  
Senior Member Joined: Feb 2014 Posts: 114 Thanks: 1  Quote:
Thank you for your reply, Can we transform histogram from upper figure to lower figure in picture?(Consider after transform and changed shape , still area is 1 )  
November 1st, 2016, 01:17 PM  #4 
Global Moderator Joined: May 2007 Posts: 6,788 Thanks: 708 
You can transform the curve in general (as long as they are not too crazy). Once you get the shape you want, then scale to get the area = 1.

November 1st, 2016, 01:48 PM  #5 
Senior Member Joined: Feb 2014 Posts: 114 Thanks: 1  
November 2nd, 2016, 04:31 AM  #6 
Senior Member Joined: Feb 2014 Posts: 114 Thanks: 1 
Please help me

November 2nd, 2016, 11:43 AM  #7 
Senior Member Joined: Feb 2014 Posts: 114 Thanks: 1 
In another way, i want wide kurtosis.

November 2nd, 2016, 12:14 PM  #8 
Senior Member Joined: Sep 2015 From: USA Posts: 2,505 Thanks: 1374  Why not match a Rayleigh distribution to your original distribution and then just adjust the spread parameter $\sigma$ The location of the peak in your original distribution is the value of $\sigma$ Increasing $\sigma$ will spread the distribution out. The Kurtosis of the Rayleigh distribution is constant though. The Erlang distribution could be used. It has two adjustable parameters $k \in \mathbb{N}$ $\lambda \in \mathbb{R},~\lambda > 0$ The original peak is at $\dfrac{k1}{\lambda}$ The kurtosis is $\dfrac{6}{k}$ Increasing $k$ will move your peak to the right, spread the distribution out, and increase the kurtosis. 

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