How to modify a uniform distribution to make a custom distribution?

Hello,

I am trying to write down a custrom distribution function that essentially motifies slightly a uniform distribution. For instance, when phi is a uniform distribution between 0 and 100:

phi = makedist('Uniform','lower',0,'upper',100);

I would like to create a distribution xi that is:

xi (x)= phi(x)/ (1 - phi_cdf(x*)) if x > x*

= 0 otherwise

Is there a way to do this? Thanks for your help!

[Jeff Miller]

Could you explain a bit more about the distribution you are trying to create? It is confusing that phi is both a distribution (made by makedist) and a function phi(x). Is the function phi_pdf?

A wild guess: maybe you want xi = makedist('Uniform','lower',x*,'upper',100) ?

Answer 1

[Prachi Kulkarni]

Hi,

Let the variable xStar = x*

The desired distribution xi(x) can be generated as

xi = makedist('Uniform','lower',xStar,'upper',100)

This distribution is valid if 0 ­<= xStar <= 100