A069286 -id:A069286 - cp's OEIS frontend

A092678 Decimal expansion of the probable error.

6, 7, 4, 4, 8, 9, 7, 5, 0, 1, 9, 6, 0, 8, 1, 7, 4, 3, 2, 0, 2, 2, 2, 7, 0, 1, 4, 5, 4, 1, 3, 0, 7, 1, 8, 5, 3, 8, 6, 9, 0, 4, 4, 1, 5, 0, 4, 9, 8, 6, 1, 8, 9, 5, 6, 6, 2, 0, 9, 3, 7, 8, 8, 5, 9, 4, 8, 4, 8, 6, 7, 9, 2, 8, 2, 4, 4, 3, 0, 9, 1, 0, 9, 5, 4, 4, 5, 0, 4, 4, 7, 4, 0, 1, 6, 7, 7, 8, 4, 5, 7, 3

Offset: 0

Eric W. Weisstein, Mar 03 2004

0.75 percentile of the normal probability distribution function. In a bilateral sense, normally distributed random values x are equally likely to fall inside the interval (-a*sigma, +a*sigma) as to fall outside, "a" being this constant. - Stanislav Sykora, Nov 08 2013

			InverseErf(1/2) * sqrt(2) = 0.674489750...

Stanislav Sykora, Table of n, a(n) for n = 0..9999
Stanislav Sykora, PARI/GP scripts for NormalErrorFunctions.
Eric Weisstein's World of Mathematics, Standard Normal Distribution
Eric Weisstein's World of Mathematics, Probable Error

Cf. A002193, A069286.

RealDigits[ Sqrt[2] InverseErf[1/2], 10, 111][[1]] (* Robert G. Wilson v, Feb 11 2015 *)

PARI
```
See the links.
```

solve(x=0,1,erfc(x)-1/2)*sqrt(2) \\ Charles R Greathouse IV, Oct 15 2015

Equals A069286 * A002193.

A069287 Continued fraction for rho with erf(rho) = 1/2 = erfc(rho).

Original entry on oeis.org

0, 2, 10, 2, 1, 17, 3, 1, 12, 6, 6, 2, 2, 1, 7, 1, 6, 1, 15, 2, 1, 1, 2, 1, 1, 1, 2, 4, 1, 6, 1, 1, 1, 4, 14, 2, 10, 1, 3, 3, 4, 1, 2, 1, 8, 7, 1, 12, 2, 1, 1, 1, 6, 4, 2, 1, 2, 1, 2, 1, 3, 1, 7, 4, 2, 1, 7, 1, 1, 2, 35, 1, 13, 13, 1, 2, 9, 8, 1, 1, 11, 2, 3, 12, 15, 1, 4, 2, 2, 1, 2, 2, 7, 1, 3, 3

Offset: 0

Frank Ellermann, Mar 14 2002

			0.4769362762044698733814183536431305598089697490594706447...

G. C. Greubel, Table of n, a(n) for n = 0..5000
Eric Weisstein's World of Mathematics, Erf.
Eric Weisstein's World of Mathematics, Erfc.

Cf. A069286 (decimal expansion).

ContinuedFraction[InverseErf[1/2], 50] (* G. C. Greubel, Apr 22 2018 *)

cp's OEIS Frontend

A092678 Decimal expansion of the probable error.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

PARI