RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2008, Volume 361, Pages 66–77 (Mi znsl2181)

On the efficiency of tests of fit based on the Deheuvels' empirical process
Ya. Yu. Nikitin, P. P. Sporysheva

References

1. A. Azzalini, “A class of distributions which includes the normal ones”, Scand. J. Stat., 12 (1985), 171–178  mathscinet  zmath
2. R. R. Bahadur, Some limit theorems in statistics, SIAM, Philadelphia, 1971  mathscinet  zmath
3. P. Billingsley, Convergence of probability measures, Wiley, 1968  mathscinet  zmath
4. A. N. Borodin, P. Salminen, Handbook of Brownian motion: Facts and formulae, 2nd ed., Birkhäuser, Basel, 2002  mathscinet  zmath
5. P. Deheuvels, “A Karhunen-Loève expansion for a mean-centered Brownian bridge”, Statistics and Probability Letters, 77 (2007), 1190–1200  crossref  mathscinet  zmath
6. A. Durio, Ya. Yu. Nikitin, “Local Bahadur efficiency of some goodness-of-fit tests under skew alternatives”, J. Statist. Plann. and Infer., 115:1 (2003), 171–179  crossref  mathscinet  zmath
7. M. Raghavachari, “On a theorem of Bahadur on the rate of convergence of test statistics”, Ann. Math. Stat., 41:4 (1970), 1695–1699  crossref  mathscinet  zmath
8. G. R. Shorack, J. A. Wellner, Empirical Processes with Applications to Statistics, Wiley, 1986  mathscinet  zmath
9. A. I. Nazarov, Ob odnom semeistve preobrazovanii gaussovskikh sluchainykh funktsii, SPbMS El. Prepr. Archive, № 2008-02, 2008; Теория вероятн. и ее примен., (сдано в печать)
10. Y. Nikitin, Asymptotic efficiency of nonparametric tests, Cambridge University Press, 1995  mathscinet  zmath


© Steklov Math. Inst. of RAS, 2026