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von Mises 分布平均方向的近似置信区间
Simple formulae are suggested that provide accurate confidence bounds for the mean direction of a sample from a von Mises distribution. These formulae obviate the need for calculating an estimate of the second trigonometric moment, and dispense with nomograms.
von Mises 分布平均方向的近似置信区间
Simple formulae are suggested that provide accurate confidence bounds for the mean direction of a sample from a von Mises distribution. These formulae obviate the need for calculating an estimate of the second trigonometric moment, and dispense with nomograms.
小期望频数下卡方拟合优度统计量的分布近似
This paper is concerned with the X 2 goodness-of-fit test when the observed frequencies are supposed to be distributed according to a specified multinomial distribution. We propose a log normal approximation to the distribution of X 2 . Our results suggest that the approximation is valid providing that the smallest expectation is greater than r/d⊘ , where r is the number of expectations less than 5, and d is the number of degrees of freedom.