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Define distribution function to be zero if ecdf(X) is not defined

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Nina
Nina 2017-11-9
关闭： Nina 2018-4-17
I have a distribution of random numbers X in the interval [50,100]. When using the function ecdf(X) to receive the empirical cumulative distribution function, the values for x<50 are not defined.
I the following, I want to integrate (1-ecdf(X)) from 0 to infinity and therefore need the ecdf(X) to be zero.
Is there a possibility to define the ecdf(X) to be zero for x<50?

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Torsten
Torsten 2017-11-9
[f,x] = ecdf(X);
Ecdf=@(p) interp1(x,f,p)*(p>=50)
Best wishes
Torsten.
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Nina
Nina 2017-11-9
You are totally right, but the problem is that the CDF in my plot seems to be not defined as 0 for x<50. Before integrating I calculate 1-CDF and therefore get the decreasing function...
Torsten
Torsten 2017-11-9
编辑：Torsten 2017-11-9
If you integrate from the first x-value to the last x-value (as the command
"trapz(x,Distribution_distorted)"
does), you automatically ensure that the CDF is counted to be zero outside the interval where its mass is concentrated (namely outside [x(1);x(end)]). And I guess this is what you want.
Best wishes
Torsten.

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