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一种用于拟合多峰概率密度函数的计算机程序。

A computer program for fitting multimodal probability density functions.

作者信息

Brassard J R, Correia M J

出版信息

Comput Programs Biomed. 1977 Mar;7(1):1-20. doi: 10.1016/0010-468x(77)90032-0.

Abstract

A FORTRAN IV program is described, which may be run interactively with tutorial assistance or in batch and which allows a user to selectively fit any of seven probability density functions (p.d.f.'s) or a combination of the p.d.f.'s to a unimodal or multimodal histogram of empirical data. A "best-fit", uni- or multimodal p.d.f., which may be obtained by a method of nonlinear least squares or a generated p.d.f. may be displayed on a Tektronix 4010 terminal as a continuous curve against the background of a bar, square wave, symbol or point-plot histogram. The following, supportive statistical information is also displayed: (1) Kolmogorov-Smirnov probability of goodness of fit, (2) mean square error, (3) correlation coefficient, and (4) parameter estimates. The resident driver program and six overlayable segments have been implemented on a Digital Equipment Corporation LAB-11 minicomputer (PDP-11/20).

摘要

本文描述了一个FORTRAN IV程序,该程序可以在教程辅助下交互式运行,也可以批处理运行,它允许用户将七个概率密度函数(p.d.f.)中的任何一个或p.d.f.的组合选择性地拟合到经验数据的单峰或多峰直方图。通过非线性最小二乘法获得的“最佳拟合”单峰或多峰p.d.f.或生成的p.d.f.可以在Tektronix 4010终端上显示为相对于条形、方波、符号或点绘直方图背景的连续曲线。还会显示以下支持性统计信息:(1)拟合优度的Kolmogorov-Smirnov概率,(2)均方误差,(3)相关系数,以及(4)参数估计。常驻驱动程序和六个可覆盖段已在数字设备公司的LAB-11小型计算机(PDP-11/20)上实现。

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