1 |
Akgul, F.G., Senoglu, B. and Arslan, T. (2016), "An alternative distribution to Weibull for modeling the wind speed data: Inverse Weibull distribution", Energ. Convers. Manage., 114, 234-240.
DOI
|
2 |
Apery, R. (1979), "Irrationalite de (2) et (3)", Asterisque, 61, 11-13.
|
3 |
Arslan, T., Acitas, S. and Senoglu, B. (2017), "Generalized Lindley and power Lindley distributions for modeling the wind speed data", Energ. Convers. Manage., 152, 300-311.
DOI
|
4 |
Aydin, D. and Senoglu, B. (2015), "Monte Carlo comparison of the parameter estimation methods for the two-parameter Gumbel distribution", J. Modern Appl. Stat. Method., 14(2), 123-140.
DOI
|
5 |
Aydin, D. (2018), "Estimation of the lower and upper quantiles of Gumbel distribution: an application to wind speed data", Appl. Ecology Environ. Res., 16(1), 1-15.
DOI
|
6 |
Barnett, V. and Lewis, T. (1994), "Outliers in statistical data", John Wiley, New York, USA.
|
7 |
Bernard, A. and Bosi-Levenbach, E.C. (1953), "The plotting of observations on probability paper", Statistica Neerlandica, 7, 163-173.
DOI
|
8 |
Blom, G. (1958), Statistical estimates and transformed beta variables, John Wiley and Sons, New York, USA.
|
9 |
Boudt, K., Caliskan, D. and Croux, C. (2011), "Robust explicit estimators of Weibull parameters", Metrika, 73, 187-209.
DOI
|
10 |
Croux, C., Filzmoser, P., Pison, G. and Rousseeuw, P.J. (2003), "Fitting multiplicative models by robust alternating regressions", Stat. Comput., 13, 23-36.
DOI
|
11 |
Corsini, G., Gini, F., Greco, M.V. and Verrazzani, L. (1995), "Cramer-Rao bounds and estimation of the parameters of the Gumbel distribution", Aerosp. Electron. Syst., 31(3), 1202-1204.
DOI
|
12 |
Cox, N.J. (2005), "Speaking Stata: density probability plots", Stata J., 5(2), 259-273.
|
13 |
Davis, R.A. and Dunsmuir, W.T.M. (1997), "Least absolute deviation estimation for regression with ARMA errors", J. Theor. Probab., 10, 481-497.
DOI
|
14 |
Dixon, W.J. (1950), "Analysis of extreme values", Annal. Math. Stat., 21, 488-506.
DOI
|
15 |
Dunsmuir, W.T.M. and Spencer, N.M. (1991), "Strong consistency and asymptotic normality of L1 estimates of the autoregressive moving-average model", J. Time Series Anal., 12, 95-104.
DOI
|
16 |
Bai, J. (1995), "Least absolute deviation estimation of a shift", Econometric Theory, 11(3), 403-436.
DOI
|
17 |
Ercelebi, S.G. and Toros, H. (2009), "Extreme value analysis of Istanbul air pollution data", Clean Soil Air Water, 37, 122-131.
DOI
|
18 |
Gumbel, E.J. (1941), "The return period of flood flows", Annal. Math. Stat., 12(2), 163-190.
DOI
|
19 |
Fischer, S., Fried, R. and Schumann, A. (2015), "Examination for robustness of parametric estimators for flood statistics in the context of extraordinary extreme events", Hydrology Earth Syst. Sci., 12, 8553-8576.
DOI
|
20 |
Graybeal, D. and Leathers, D. (2006), "Snowmelt-related flood risk in Appalachia: first estimates from a historical snow climatology", J. Appl. Meteorol. Clim., 45(1), 178-193.
DOI
|
21 |
Herd, G.R. (1960), "Estimation of reliability from incomplete data", Proceedings of the 6th National Symposium on Reliability and Quality Control, IEEE, New York.
|
22 |
Hong, H.P., Li, S.H. and Mara, T.G. (2013), "Performance of the generalized least-squares method for the Gumbel distribution and its application to annual maximum wind speeds", J. Wind Eng. Ind. Aerod., 119, 121-132.
DOI
|
23 |
Jenkinson, A.F. (1955), "The frequency distribution of the annual maximum (or minimum) values of meteorological elements", Q. J. Roy. Meteor. Soc., 81, 158-171.
DOI
|
24 |
Johnson, L.G. (1964), The statistical treatment of fatigue experiments, Elsevier, New York, USA.
|
25 |
Kang, D., Ko, K. and Huh, J. (2015), "Determination of extreme wind values using the Gumbel distribution", Energy, 86, 51-58.
DOI
|
26 |
Kantar, Y.M. and Yildirim, V. (2015), "Robust estimation for parameters of the extended Burr type III distribution", Commun. Statistics-Simulation and Comput., 44, 1901-1930.
DOI
|
27 |
Kantar, Y.M.; Usta, I.; Arik, I. and Yenilmez, I. (2018), "Wind speed analysis using the Extended Generalized Lindley Distribution", Renew. Energy, 118, 1024-1030.
DOI
|
28 |
Kollu, R., Rayapudi, S.R., Narasimham, S.V.L. and Pakkurthi, K.M. (2012), "Mixture probability distribution functions to model wind speed distributions", Int. J. Energ. Environ. Eng., 3, 1-10.
DOI
|
29 |
Kao, J.H. (1958), "Computer methods for estimating Weibull parameters in reliability studies", IRE T. Reliab. Quality Control, 13, 15-22.
|
30 |
Kao, J.H. (1959), "A graphical estimation of mixed Weibull parameters in life-testing of electron tubes", Technometrics, 1(4), 389-407.
DOI
|
31 |
Koutsoyiannis, D. (2004), "Statistics of extremes and estimation of extreme rainfall: I. theoretical investigation", Hydrol. Sci. J., 49(4), 575-590.
DOI
|
32 |
Landwehr, J.M., Matalas, N.C. and Wallis, J.R. (1979), "Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles", Water Resour. Res., 15(5), 1055-1064.
DOI
|
33 |
Lee, B.H., Ahn, D.J., Kim, H.G. and Ha, Y.C. (2012), "An estimation of the extreme wind speed using the Korea wind map", Renew Energ., 42, 4-10.
DOI
|
34 |
Ling, S. (2005), "Self-weighted LAD estimation for infinite variance autoregressive models", J. Roy. Stat. Soc.: Series B, 67, 381-393.
DOI
|
35 |
Mohammadi, K., Alavi, O. and McGowan, J.G. (2017), "Use of Birnbaum-Saunders distribution for estimating wind speed and wind power probability distributions: A review", Energ. Convers. Manage., 143, 109-122
DOI
|
36 |
Morgan, E.C., Lackner, M., Vogel, R.M. and Baise, L.G. (2011), "Probability distribution for offshore wind speeds", Energ. Convers. Manage., 52, 15-26.
DOI
|
37 |
Mousa, M.A.M., Jaheen, Z.F. and Ahmad, A.A. (2002), "Bayesian estimation, prediction and characterization for the Gumbel model based on records", J. Theor. Appl. Stat., 36(1), 65-74.
|
38 |
Pishgar-Komleh, S.H., Keyhani, A. and Sefeedpari, P. (2015), "Wind speed and power density analysis based on Weibull and Rayleigh distributions (a case study: Firouzkooh county of Iran)", Renew. Sust. Energ. Rev., 42, 313-322.
DOI
|
39 |
Olive, D. (2006), "Robust estimators for transformed location scale families", http://lagrange.math.siu.edu/Olive/pprloc3.pdf.
|
40 |
Pan, J., Wang, H. and Yao, Q. (2007), "Weighted least absolute deviations estimation for ARMA models with infinite variance", Econometric Theory, 23(5), 852-879.
DOI
|
41 |
Pollard, D. (1991), "Asymptotics for least absolute deviation regression estimators", Econometric Theory, 7, 186-199.
DOI
|
42 |
Phien, H.N. (1987), "A review of methods of parameter estimation for the extreme-value type I distribution", J. Hydrol., 86, 391-398.
|
43 |
Rasmussen, P.F. and Gautam, N. (2003), "Alternative PWMestimators of the Gumbel distribution", J. Hydrol., 280, 265-271.
DOI
|
44 |
Raynal, J.A. and Salas, J.D. (1986), "Estimation procedures for the type-1 extreme value distribution", J. Hydrol., 87, 315-336.
DOI
|
45 |
Rousseeuw, P.J. (1984), "Least median of squares regression", J. Am. Stat. Association, 79, 871-880.
DOI
|
46 |
Rousseeuw, P.J. and Leroy, A. (1987), Robust regression and outlier detection, Wiley, New York, USA.
|
47 |
Simiua, E.I., Heckertb, N.A., Filliben, J.J. and Johnson, S.K. (2001), "Extreme wind load estimates based on Gumbel distribution of dynamic pressures: an assessment", Struct. Saf., 23, 221-229.
DOI
|
48 |
Trzpiot, G. (2009), "Extreme value distributions and robust estimation", Folia Oeconomica, 228, 85-92.
|
49 |
Sohoni, V., Gupta, S. and Nema, R. (2016), "A comparative analysis of wind speed probability distributions for wind power assessment of four sites", Turkish J. Elec. Eng. Comput. Sci., 24, 4724-4735.
DOI
|
50 |
Soukissian, T. (2013) "Use of multi-parameter distributions for offshore wind speed modeling: The Johnson SB distribution", Appl. Energ., 111, 982-1000.
DOI
|
51 |
Wolstenholme, L.C. (1999), Reliability modelling: a statistical approach, Chacman and Hall Press, New York, USA.
|
52 |
Yavuz, A.A. (2013), "Estimation of the shape parameter of the Weibull distribution using linear regression methods: noncensored samples", Qual. Reliab. Eng. Int., 29, 1207-1219.
DOI
|
53 |
Zyl, J.M.V. and Schall, R. (2012), "Parameter estimation through weighted least-squares rank regression with specific reference to the Weibull and Gumbel distributions", Commun. Stat. - Simul. C., 41, 1654-1666.
DOI
|
54 |
Tiryakioglu, M. and Hudak, D. (2007), "On estimating Weibull modulus by the linear regression method", J. Mater. Sci., 42, 10173-10179.
DOI
|