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

0,1

Comments

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

Links

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

Formula

Equals A069286 * A002193.

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A002193, A069286.

Sequence in context: A196761 A362769 A195776 * A019932 A004447 A258989

Adjacent sequences: A092675 A092676 A092677 * A092679 A092680 A092681

Keyword

nonn,cons

Author

Eric W. Weisstein, Mar 03 2004

Status

approved