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In the present paper is to study the value of \(\pi \) obtained by the Monte Carlo simulation method and compared the results with the experimental value. Then the Monte Carlo simulation distribution considering 32 triplets of random numbers lies on a semicircle or not is tested by applying a nonparametric test, Friedman’s test. Then the same distribution of 32 samples is tested for the goodness of fit. From this study, the following points are observed. The larger the sample size N, the closer will be the obtained value of \(\pi \) . Triplets of random numbers have different effects and will follow the goodness of fit.

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The Analysis of the Value of \(\pi \) by Simulation Approach and Non-parametric Statistical Testing of Hypothesis

  • 会议论文

  • 发表日期：

    2025年

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  • Sanjay Kulkarni,
  • Sandeep Kulkarni

摘要

In the present paper is to study the value of \(\pi \) obtained by the Monte Carlo simulation method and compared the results with the experimental value. Then the Monte Carlo simulation distribution considering 32 triplets of random numbers lies on a semicircle or not is tested by applying a nonparametric test, Friedman’s test. Then the same distribution of 32 samples is tested for the goodness of fit. From this study, the following points are observed. The larger the sample size N, the closer will be the obtained value of \(\pi \) . Triplets of random numbers have different effects and will follow the goodness of fit.