the definition of bivariate fox-h function
时间: 2023-05-13 22:04:10 浏览: 134
双变量Fox-H函数是一种特殊的H函数,其基本形式为$H_{m,n}^{p,q}\left[\begin{matrix}(a_1,b_1)_{p_1}^{\gamma_1},\ldots,(a_m,b_m)_{p_m}^{\gamma_m}\\(c_1,d_1)_{q_1}^{\delta_1},\ldots,(c_n,d_n)_{q_n}^{\delta_n}\end{matrix};z\right]$。其中,$m$和$n$分别表示两个变量$x$和$y$的区间数(实数或复数),$p$、$q$、$p_i$和$q_i$分别表示$x$和$y$区间内函数的参数个数,$(a_i,b_i)$和$(c_i,d_i)$分别表示$x$和$y$区间内函数的参数范围,$\gamma_i$和$\delta_i$分别表示$x$和$y$区间内函数的参数顺序,$z$是Fox-H函数的自变量。
Fox-H函数通常用于统计学、概率论、物理学等领域中的复杂积分计算和概率密度函数的表示。它和其他函数一样具有一系列优点,包括可控性、稳定性、缓慢变化性、严格正定性等。Fox-H函数还有很多变形和扩展,如三元和多元Fox-H函数、带指数函数和参数Fox-H函数等。它们都在不同的领域得到了广泛应用。
相关问题
NotImplementedError: Bivariate ECDF plots are not implemented
As an AI language model, I cannot see the code you are referring to or the context in which you encountered this error, but I can provide a general explanation of what the error message means.
The error message "Bivariate ECDF plots are not implemented" indicates that the code you are running or the function you are trying to use is attempting to create a bivariate (two-dimensional) Empirical Cumulative Distribution Function (ECDF) plot, but this functionality has not been implemented or is not available in the current version of the software or library you are using.
ECDF plots are commonly used in statistics and data analysis to visualize the distribution of a dataset. A bivariate ECDF plot would show the joint distribution of two variables, which can be useful for identifying patterns and relationships between them.
If you encounter this error, you may need to look for an alternative method or library that supports bivariate ECDF plots or modify your code to use a different type of plot.
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