BibTeX Item for Citation with LaTeX: @article{ZHANG2024e28274, title = {Fixed-point algorithms for solving the critical value and upper tail quantile of Kuiper's statistics}, journal = {Heliyon}, volume = {10}, number = {7}, pages = {e28274}, year = {2024}, issn = {2405-8440}, doi = {https://doi.org/10.1016/j.heliyon.2024.e28274}, url = {https://www.sciencedirect.com/science/article/pii/S2405844024043056}, author = {Hong-Yan Zhang and Wei Sun and Xiao Chen and Rui-Jia Lin and Yu Zhou}, keywords = {Kuiper's statistic, Upper tail quantile, Fixed-point algorithm, Numerical approximation, Algorithm design, STEM education}, }
Code for Kuiper's Vn statistic in the Goodness-of-fit Test in Mathematical Statistics
/*********** Compile+Link+Run at Unix/Linux terminal *****************
- Compile+Link: $ gcc KuiperPairSolver.c main.c -o Kuiper -lm
-
or $ g++ KuiperPairSolver.c main.c -o Kuiper - Run: $ ./Kuiper 0.05 100 1 1 2.45
-
$ ./Kuiper 0.05 100 1 2 2.45 -
$ ./Kuiper 0.05 100 2 1 2.45 >> test.txt -
$ ./Kuiper 0.05 100 2 2 2.45 >> test.txt - Note that the initial value is important for the iteration and our
- suggestions are as follows:
- V_n test, direct iterative method, guess in (0.5, 2.5)
- V_n test, Newton iterative method, guess in (1.1, 2.5)
- V_{n,n} test, direct iterative method, guess in (2.4, 2.6)
- V_{n,n} test, direct iterative method, guess in (2.2, 2.6)
- optional guess for all of most applications, guess = 2.45
- Newton iterative method works well for both V_n and V_{n,n} test
- *******************************************************************/