【摘要】 Wallis乘积公式在理论和应用上都具有重要价值，特别在概率论与数理统计领域。首先，对Wallis乘积公式进行了推广，拓展了Wallis乘积公式的适用对象。然后，利用推广的Wallis乘积公式分别证明了抽样分布理论中t分布和F分布概率密度函数的收敛性质，完善并进一步发展了已有文献的证明过程和相关结论。最后，通过数值模拟和图象显示法，对相关的研究结果进行了分析和验证，并修正了相关文献的错误结论。更多还原

【Abstract】 Wallis product formula holds significant value both in theory and application,especially in the fields of probability theory and mathematical statistics.The generalization of Wallis product formula can expand the applicable objects of the formula,prove the convergence properties of the probability density functions of t-distribution and F-distribution in the sampling distribution theory,and further develop the proof process and related conclusions of the existing literature.Through numerical simulation and graphical display method,the generalization of Wallis product formula verified the relevant research results,and corrected the erroneous conclusions in the related literature.更多还原