Functions for Statistics统计学中的函数
A form of integral which shows up regularly in quantum statistics is 在量子统计中经常出现的一种积分形式是
![]() The evaluation of this class of integrals is in terms of two special functions, the gamma function and the Riemann zeta function. 这类积分的求解涉及两个特殊函数,即伽马函数和黎曼齐次函数。
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Index Statistics concepts Reference Schroeder App. B 索引 统计概念 参考 Schröder 附录 B | ||
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The Gamma FunctionGamma 函数
A function which shows up often in statistical calculations is the gamma function: 在统计计算中经常出现的一个函数是伽马函数:
![]() This can be related to another integral 这可以与另一个积分相关联
![]() leading to the relationships 导致关系式
![]() Some other common relationships with gamma functions: 一些与伽马函数相关的其他常见关系:
![]() One of the applications of the gamma function is in the evaluation of statistical integrals. 伽马函数的一个应用是在统计积分的计算中。
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Index Statistics concepts Reference Schroeder App. B 索引 统计概念 参考 Schröder 附录 B | ||
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The Riemann Zeta Function黎曼ζ函数
A function which shows up often in statistical calculations is the Riemann zeta function: 在统计计算中经常出现的一个函数是黎曼ζ函数:
![]() One of the applications of the zeta function is in the evaluation of statistical integrals. ζ函数的一个应用是在统计积分的计算中。
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Index Statistics concepts Reference Schroeder App. B 索引 统计概念 参考 Schröder 附录 B | ||
|
Go Back
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