Why this :$I(x)=int_{-x}^x {0.5(exp({-t² {operatorname{erf}(t^2)}})}dt$ is not error function for $|x|...











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This integral : $$I(x)=int_{-x}^x {0.5(exp({-t² {operatorname{erf}(t^2)}})}dt$$ close to $x$ for $|x|<3$ and converge to $1$ for $|x|>3$ from $-infty to +infty$ as shown here such that concide with error function for that large range over Real number , Now my question here is it possible to consider that distribution as Gausse distribution for $|x|>3$ since there is a concidence ?










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  • What does $|x| <-3$ mean?
    – Kavi Rama Murthy
    Nov 17 at 23:14










  • sorry i meant 3
    – zeraoulia rafik
    Nov 17 at 23:15















up vote
0
down vote

favorite












This integral : $$I(x)=int_{-x}^x {0.5(exp({-t² {operatorname{erf}(t^2)}})}dt$$ close to $x$ for $|x|<3$ and converge to $1$ for $|x|>3$ from $-infty to +infty$ as shown here such that concide with error function for that large range over Real number , Now my question here is it possible to consider that distribution as Gausse distribution for $|x|>3$ since there is a concidence ?










share|cite|improve this question
























  • What does $|x| <-3$ mean?
    – Kavi Rama Murthy
    Nov 17 at 23:14










  • sorry i meant 3
    – zeraoulia rafik
    Nov 17 at 23:15













up vote
0
down vote

favorite









up vote
0
down vote

favorite











This integral : $$I(x)=int_{-x}^x {0.5(exp({-t² {operatorname{erf}(t^2)}})}dt$$ close to $x$ for $|x|<3$ and converge to $1$ for $|x|>3$ from $-infty to +infty$ as shown here such that concide with error function for that large range over Real number , Now my question here is it possible to consider that distribution as Gausse distribution for $|x|>3$ since there is a concidence ?










share|cite|improve this question















This integral : $$I(x)=int_{-x}^x {0.5(exp({-t² {operatorname{erf}(t^2)}})}dt$$ close to $x$ for $|x|<3$ and converge to $1$ for $|x|>3$ from $-infty to +infty$ as shown here such that concide with error function for that large range over Real number , Now my question here is it possible to consider that distribution as Gausse distribution for $|x|>3$ since there is a concidence ?







probability-distributions error-function






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edited Nov 17 at 23:14

























asked Nov 17 at 23:12









zeraoulia rafik

2,32411029




2,32411029












  • What does $|x| <-3$ mean?
    – Kavi Rama Murthy
    Nov 17 at 23:14










  • sorry i meant 3
    – zeraoulia rafik
    Nov 17 at 23:15


















  • What does $|x| <-3$ mean?
    – Kavi Rama Murthy
    Nov 17 at 23:14










  • sorry i meant 3
    – zeraoulia rafik
    Nov 17 at 23:15
















What does $|x| <-3$ mean?
– Kavi Rama Murthy
Nov 17 at 23:14




What does $|x| <-3$ mean?
– Kavi Rama Murthy
Nov 17 at 23:14












sorry i meant 3
– zeraoulia rafik
Nov 17 at 23:15




sorry i meant 3
– zeraoulia rafik
Nov 17 at 23:15















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