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Teor. Veroyatnost. i Primenen., 1961, Volume 6, Issue 1, Pages 138–140 (Mi tvp4761)  

Short Communications

Nomograms for Probability Functions $\chi^2$

S. V. Smirnov, M. K. Potapov

Moscow

Abstract: In this paper a nomogram is constructed for the function
$$P(\chi^2,n)=\frac1{2^{(n-2)/2}\Gamma(n/2)}\int_\chi ^\infty z^{n-1}e^{-z^2/2} dz$$
of the variables, $P,\chi^2,n$ lying within the following limits:
$$1\leq n\leq110,\quad1\leq\chi^2\leq150,\quad0,001\leq P\leq0,999.$$
The relative error in the middle part of the answer scale of $P$ does not exceed $3%$ for $0,1\leq P\leq0,9$ and $10%$ at the ends of this scale.

Full text: PDF file (374 kB)

English version:
Theory of Probability and its Applications, 1961, 6:1, 124–126

Received: 26.02.1959

Citation: S. V. Smirnov, M. K. Potapov, “Nomograms for Probability Functions $\chi^2$”, Teor. Veroyatnost. i Primenen., 6:1 (1961), 138–140; Theory Probab. Appl., 6:1 (1961), 124–126

Citation in format AMSBIB
\Bibitem{SmiPot61}
\by S.~V.~Smirnov, M.~K.~Potapov
\paper Nomograms for Probability Functions $\chi^2$
\jour Teor. Veroyatnost. i Primenen.
\yr 1961
\vol 6
\issue 1
\pages 138--140
\mathnet{http://mi.mathnet.ru/tvp4761}
\transl
\jour Theory Probab. Appl.
\yr 1961
\vol 6
\issue 1
\pages 124--126
\crossref{https://doi.org/10.1137/1106017}


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