Goodness-of-Fit Test for One-Sided Lévy Distribution Based on Stein’s Characterization
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Ali MM, Woo J (2005) Inference on reliability $$P(Y<X)$$ in the Lévy distribution. Math Comput Model 41:965–971
Betsch S, Ebner B (2021) Fixed point characterizations of continuous univariate probability distributions and their application. Ann Inst OS Stat Math 73:31–59
Bhati D, Sudheesh KK (2020) Jackknife empirical likelihood test for testing one-sided Lévy distribution. J Appl Stat 47(7):1208–1219
Chang CH, Lin JJ, Pal N (2011) Testing the equality of several gamma means: a parametric bootstrap method with applications. Comput Stat 26:55–76
Datta S, Bandyopadhyay D, Satten GA (2010) Inverse probability of censoring weighted U-statistics for right censored data with an application to testing hypotheses. Scand J Stat 37:680–700
Duigon MT, Cooper BF (1999) Impact of a public water supply well on availability of groundwater to neighboring domestic wells near bel air, Maryland, Interim Technical Report, Department of Natural Resources, Maryland Geological Survey
Jurlewicz A, Weron K (1993) A relationship between asymmetric Lévy stable distribution and dialectic susceptibility. J Stat Phys 73:69–81
Keating JP, Glaser RE, Ketchum NS (1990) Testing hypotheses about the shape parameter of a gamma distribution. Technometrics 32:67–82
Klein JP, Moeschberger ML (1997) Survival analysis, techniques for censored and truncated data. Springer, New York
Koziol JA, Green SB (1976) A Cramer-von Mises statistic for randomly censored data. Biometrika 63:465–474
Lau AHL, Lau HS, Wingende JR (1990) The distribution of stock returns: new evidence against the stable model. J Bus Econ Stat 8(2):217–223
Lehmann EL (1951) Consistency and unbiasedness of certain nonparametric tests. Ann Math Stat 22:165–179
Lee AJ (1990) U-statistics: theory and practice. Marcel Dekker Inc., New York
Lévy P (1925) Calcul des probabilities. Gauthier-Villars, Paris
O’Reilly FJ, Rueda R (1998) A note on the fit for the Lévy distribution. Commun Stat Theory Methods 27:1811–1821
Samoradnitsky G (1994) Stable non-gaussian random processes stochastic models with infinite variance. Chappman and Hall, New York
Shu Y, Feng Q, Coit DW (2015) Life distribution analysis based on Lévy subordinators for degradation with random jumps. Nav Res Logist 62:483–492
Valencia-Orozco A, Tovar-Cuevas JR (2019) Parametric survival model based on the Lévy distribution. Commun Stat Appl Methods 26:445–461
van der Vaart AW (2000) Asymptotic statistics. Cambridge University Press, Cambridge