Analysis based on GoF tests
The paper presented the study on EVA of wind
speed adopting six PDs (using MLM). Based on the
results of EVA of wind speed, GoF and diagnostic tests,
the following conclusions were drawn from the study:
a) AD test results confirmed the applicability of
PR3, LP3 and EV1 distributions for EVA of wind speed
By applying the procedures of GoF tests,
quantitative assessment on fitting of PDs to the series of
EWS was carried out; and the results are given in Table 5.
Table 5. Computed values of GoF tests statistics by six PDs
Computed values of GoF tests statistics for
b) AD test results didn’t support the use of all six
PDs for EVA of wind speed for Delhi.
c) KS test results supported the use of all six PDs
for EVA of wind speed for Delhi and Kanyakumari.
d) D-index value of LP3 is found as minimum for
Kanyakumari whereas the D-index value of LP3 is the
second minimum for Delhi.
e) LP3 distribution is identified as better suited
amongst six distributions adopted for estimation of
extreme wind speed for Delhi and Kanyakumari.
The study suggested that the 1000-year return period
EWS of 113.4 km/hr (for Delhi) and 121.3 km/hr (for
Kanyakumari) adopting LP3 distribution could be used as
the design parameters for planning and design of
hydraulic structures in the regions.
From Table 5, it may be noted that the computed
values of AD test statistic by six PDs are greater than the
theoretical value of 0.781 at 5% significance level, and at
this level, all six PDs are not acceptable for EVA of wind
speed for Delhi. For Kanyakumari, it may be noted that
the computed values of AD test statistic by PR3, LP3 and
EV1 distributions are not greater than the theoretical value
of 0.781 and therefore these three distributions are
acceptable for EVA of wind speed. Also, from Table 5, it
may be noted that the computed values of KS tests
statistic by six PDs are not greater than the theoretical
value of 0.218 at 5% significance level, and at this level,
all six PDs are found to be acceptable for EVA of wind
speed for Delhi and Kanyakumari.
The author is grateful to Dr. (Mrs.) V.V. Bhosekar,
Additional Director, Central Water and Power Research
Station, Pune, for providing the research facilities to carry
out the study. The author is thankful to M/s Nuclear
Power Corporation of India Limited, Mumbai, for the
supply of wind speed data.
Analysis based on diagnostic test
For the selection of most suitable PD for estimation
of EWS, the D-index values of six PDs were computed
and presented in Table 6.
Table 6. Indices of D-index for six PDs
Shri N. Vivekanandan, Scientist-B, Central Water
and Power Research Station, Pune, carried out the data
analysis and prepared the manuscript.
The author declares that he has no competing
From Table 6, it may be noted that the indices of
D-index given by NOR and LP3 distributions are
minimum when compared to the corresponding indices of
other distributions for Delhi and Kanyakumari
respectively. But, the AD test results showed that the
NOR distribution is not acceptable for EVA of wind speed
for Delhi. After eliminating the NOR distribution from the
group of six PDs, it may be noted that the D-index value
of LP3 is the second minimum next to NOR; and therefore
LP3 is considered as most appropriate PD for estimation
of wind speed for Delhi. On the basis of GoF and
diagnostic test results, LP3 distribution is identified as
better suited for estimation of EWS for Delhi and
Bivona S, Burlon R, Leone C. (2003). Hourly wind speed
analysis in Sicily. Journal of Renewable Energy,
Della-Marta PM, Mathis H, Frei C, Liniger MA, Kleinn J,
Appenzeller C. (2009). The return period of wind
storms over Europe. Journal of Climatology, 29(3):
Palutikof JP, Brabson BB, Lister DH, Adcock ST. (1999).
A review of methods to calculate extreme wind
speeds. Journal of Meteorological Applications, 6(2):
To cite this paper: Vivekanandan N. (2018). Extreme Value Analysis of Wind Speed Data using Maximum Likelihood Method of Six Probability Distributions. J. Civil Eng.