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The paper illustrates the application of at-site frequency analysis using relatively nontraditional probability distributions adopting four methods of parameter estimation using annual maximum rainfall series (AMRS) (from 1980 to 2015) of three sites; Muzaffarabad, Garhi Dupatta and Kotli of Azad Jammu and Kashmir, Pakistan. Critical assumptions related to AMRS for frequency analysis have been validated through run test (to check the randomness of AMRS at each site) and Mann Whitney test (todoi:10.15666/aeer/1706_1360713623 fatcat:gmx23pg4hbfj7dhnkl6gldq5ty