Keywords and phrases: K-sample test, random censoring, ordered alternatives, Monte Carlo Simulation.
Received: March 11, 2023; Revised: April 25, 2023; Accepted: May 16, 2023; Published: June 10, 2023
How to cite this article: Ayushee and Narinder Kumar, K-sample test for ordered restrictions under random censorship, Advances and Applications in Statistics 88(1) (2023), 75-92. http://dx.doi.org/10.17654/0972361723040
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References [1] A. R. Jonckheere, A distribution-free k-sample test against ordered alternatives, Biometrika 41(1/2) (1954), 133-145. [2] P. V. Tryon and T. P. Hettmansperger, A class of non-parametric tests for homogeneity against ordered alternatives, Ann. Statist. 1(6) (1973), 1061-1070. [3] Z. Govindarajulu and H. S. Haller, C-sample tests of homogeneity against ordered alternative, Proceedings of the Symposium to honour Jerzy Neyman, R. Bartozynski et al., eds., Polish Scientific Publishers, Warszawa, 1977, pp. 91-102. [4] S. C. Kochar and R. P. Gupta, Some competitors of the mood test for the two-sample scale problem, Comm. Statist. Theory Methods 15(1) (1986), 231-239. [5] Amita and S. C. Kochar, Some distribution-free tests for testing homogeneity of location parameters against ordered alternatives, J. Indian Statist. Assoc. 27 (1989), 1-8. [6] N. Kumar, A. N. Gill and G. P. Mehta, Distribution-free test for homogeneity against ordered alternatives, Comm. Statist. Theory Methods 23(4) (1994a), 1247-1256. [7] N. Kumar, A. N. Gill and A. K. Dhawan, A class of distribution-free statistics for homogeneity against ordered alternatives, South African Statist. J. 28(1) (1994b), 55-65. [8] N. Kumar and M. Goyal, A general class of non parametric tests for comparing scale parameters, Amer. J. Math. Management Sci. 47(24) (2018a), 5956-5972. [9] N. Kumar and M. Goyal, Jonckheere type test procedure with optimal criterion under order restrictions, Comm. Statist. Theory Methods 37(3) (2018b), 272-292. [10] M. Goyal and N. Kumar, Two new classes of nonparametric tests for scale parameters, J. Stat. Comput. Simul. 90(17) (2020), 3093-3105. [11] M. Goyal and N. Kumar, Testing the equality of scale parameters against restrictive alternatives with optimal choice of weights, International Journal of Mathematics and Statistics 22(2) (2022), 1-16. [12] E. A. Gehan, A generalized Wilcoxon test for comparing arbitrarily singly censored samples, Biometrika 52(1-2) (1965), 203-224. [13] Ayushee, N. Kumar and M. Goyal, Two-sample test for randomly censored data, Malaysian Journal of Science 42(1) (2023), 32-41. [14] A. P. Basu, On the large sample properties of a generalized Wilcoxon-Mann-Whitney statistic, Ann. Math. Statist. 38(3) (1967), 905-915. [15] K. M. Patel and D. G. Hoel, A generalized Jonckheere k-sample test against ordered alternatives when observations are subject to arbitrary right censorship, Communications in Statistics 2(4) (1973), 373-380. [16] R. Brookmeyer and J. Crowley, A k-sample median test for censored data, J. Amer. Statist. Assoc. 77(378) (1982), 433-440. [17] H. Singh, N. Kumar and H. J. Khamnei, A subset selection procedure based on randomly censored data, Statist. Decisions, Supplementary Issue # 4 (1999), 87-106. [18] Ayushee, N. Kumar and M. Goyal, Two sample test for censored data based on sub-sample medians, Asian Journal of Probability and Statistics 18(3) (2022), 58 73. [19] E. L. Lehmann, Robust estimation in angles of variance, Ann. Math. Statist. 34(3) (1963), 957-966. [20] J. F. Lawless, Statistical Models and Methods for Life Time Data, John Wiley & Sons, 1982.
|