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Showing papers on "K-distribution published in 1970"



Book
01 Jan 1970

31 citations


Journal ArticleDOI
TL;DR: In this article, a method for fitting chi-square (or gamma) distributions to observed distributions, either positively or negatively skewed, of telecommunication variables such as critical frequencies and maximum usable frequencies is presented.
Abstract: A method is presented for fitting chi-square (or gamma) distributions to observed distributions, either positively or negatively skewed, of telecommunication variables such as critical frequencies and maximum usable frequencies. These observed distributions have been recorded for years only in terms of the 10, 50, and 90% points, but in applications it is necessary to estimate the entire distribution. It is assumed in the present study that the observed variable can be approximated by a linear function of a chi-square variable with unknown degrees of freedom. The three unknown constants are determined from the three per cent points and a convenient table. Several examples of complete observed distributions are compared graphically with normal, chi-square, Gram-Charlier, and Edgeworth fitted distributions.

4 citations


ReportDOI
01 Sep 1970
TL;DR: This report makes available additional such values for several probability distributions that occur in common practices that are limited in percentage values or parameter values.
Abstract: : Tables that are available for certain probability distributions are limited in percentage values or parameter values. The report makes available additional such values for several probability distributions that occur in common practices.

1 citations


Journal ArticleDOI
TL;DR: This work investigates the steady-state probability density distribution of a large class of random processes by solving the governing Fokker-Planck equation and discusses the random response statistics of a nonlinear single-degree-of-freedom mechanical model with hyperbolic tangent stiffness.
Abstract: We investigate the steady-state probability density distribution of a large class of random processes by solving the governing Fokker-Planck equation. The random response statistics of a nonlinear single-degree-of-freedom mechanical model with hyperbolic tangent stiffness are discussed in some detail. The probability density of such systems is of the sech-power type which belongs to a class of distributions whose behaviors are carefully examined at the limits where the system parameter b approaches zero and infinity. Other important response statistics such as the mean square response, zero crossings, and peak distributions are also studied.