Determination of Best-Fit Probability Distribution …
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Table 3 Goodness-of-fit tests for annual rainfall (stationwise)
Station
Distribution Log-likelihood AIC
BIC
Chi-square p value
Chungthang Gamma
−211.3631
426.7263 429.4609 0.4447
Log-normal −211.5875
427.1750 429.9096 0.4247
Normal
−211.1408
426.2817 429.0162 0.4620
Weibull
−211.3973
426.7945 429.5291 0.4065
Gangtok
Gamma
−209.8161
423.6321 426.3667 0.7279
Log-normal −209.8757
423.7514 426.4860 0.7467
Normal
−209.8145
423.6290 426.3636 0.6796
Weibull
−211.0884
426.1769 428.9115 0.3120
Mangan
Gamma
−138.4389
280.8778 282.7667 0.7192
Log-normal −138.4551
280.9102 282.7990 0.7312
Normal
−138.4933
280.9865 282.8754 0.6832
Weibull
−139.1217
282.2434 284.1323 0.4913
Thangu
Gamma
−121.1682
246.3364 248.1172 0.7062
Log-normal −122.2044
248.4088 250.1896 0.5632
Normal
−120.0523
244.1045 245.8853 0.8621
Weibull
−119.9629
243.9258 245.7066 0.8935
Table 4 Goodness-of-fit tests for dry season rainfall (stationwise)
Station
Distribution Log-likelihood AIC
BIC
Chi-square p value
Chungthang Gamma
−189.6061
383.2122 386.0146 0.0815
Log-normal −190.8556
385.7111 388.5135 0.0704
Normal
−188.5400
381.0800 383.8824 0.0730
Weibull
−188.2477
380.4954 383.2978 0.0693
Gangtok
Gamma
−226.0649
456.1298 459.0613 0.0008
Log-normal −238.6465
481.2929 484.2244 0.0000
Normal
−215.3029
434.6059 437.5373 0.2901
Weibull
−220.8021
445.6041 448.5356 0.0644
Mangan
Gamma
−151.9315
307.8631 310.1341 0.3820
Log-normal −153.6466
311.2931 313.5641 0.1716
Normal
−149.7748
303.5497 305.8207 0.8453
Weibull
−149.4195
302.8390 305.1100 0.9104
Thangu
Gamma
−102.3295
208.659
210.4397 0.3933
Log-normal −102.5995
209.199
210.9798 0.2638
Normal
−102.5562
209.1124 210.8932 0.6665
Weibull
−102.2912
208.5823 210.3631 0.6981