Geodesic
A quantile goodness-of-fit test applicable to distributions with non-differentiable densities
Kybernetika, Tome 33 (1997) no. 5, pp. 505-524 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 62E20, 62G10 
@article{KYB_1997_33_5_a3,
     author = {Rubl{\'\i}k, Franti\v{s}ek},
     title = {A quantile goodness-of-fit test applicable to distributions with non-differentiable densities},
     journal = {Kybernetika},
     pages = {505--524},
     year = {1997},
     volume = {33},
     number = {5},
     mrnumber = {1603957},
     zbl = {0930.62015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1997_33_5_a3/}
}
TY  - JOUR
AU  - Rublík, František
TI  - A quantile goodness-of-fit test applicable to distributions with non-differentiable densities
JO  - Kybernetika
PY  - 1997
SP  - 505
EP  - 524
VL  - 33
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/KYB_1997_33_5_a3/
LA  - en
ID  - KYB_1997_33_5_a3
ER  - 
%0 Journal Article
%A Rublík, František
%T A quantile goodness-of-fit test applicable to distributions with non-differentiable densities
%J Kybernetika
%D 1997
%P 505-524
%V 33
%N 5
%U http://geodesic.mathdoc.fr/item/KYB_1997_33_5_a3/
%G en
%F KYB_1997_33_5_a3
Rublík, František. A quantile goodness-of-fit test applicable to distributions with non-differentiable densities. Kybernetika, Tome 33 (1997) no. 5, pp. 505-524. http://geodesic.mathdoc.fr/item/KYB_1997_33_5_a3/

[1] J. Anděl: Mathematical Statistics. SNTL, Prague 1978. (In Czech.)

[2] E. Bofinger: Goodness-of-fit test using sample quantiles. J. Roy. Statist. Soc. Ser. B 35 (1973), 277-284. | MR | Zbl

[3] L. N. Bolshev: Cluster analysis. Bull. Inst. Internat. Statist. 43 (1969), 411-425. | MR | Zbl

[4] H. Cramér: Mathematical Methods of Statistics. Princeton University Press, Princeton 1946. | MR

[5] R. B. D'Agostino: An omnibus test for normality for moderate and large size samples. Biometrika 58 (1971), 341-348. | MR

[6] R. C. Dahiya, J. Gurland: Pearson chi-squared test of fit with random intervals. Biometrika 59 (1972), 147-153. | MR | Zbl

[7] J. K. Ghosh: A new proof of the Bahadur representation of quantiles and an application. Ann. Math. Statist. 42 (1971), 1957-1961. | MR | Zbl

[8] P. J. Huber: Robust Statistics. Wiley, New York 1981. | MR | Zbl

[9] N. L. Johnson S. Kotz, N. Balakrishnan: Continuous Univariate Distributions -- 1. Wiley, New York 1994.

[10] I. A. Koutrouvelis, J. Kellermeier: A goodness-of-fit test based on the empirical characteristic function when the parameters must be estimated. J. Roy. Statist. Soc. Ser. B 43 (1981), 173-176. | MR

[11] J. A. J. Metz P. Haccou, E. Meelis: On the Shapiro-Wilk test and Darling's test for exponentiality. Biometrika 50 (1994), 527-530.

[12] D. S. Moore: A chi-square statistic with random cell boundaries. Ann. Math. Statist. 42 (1971), 147-156. | MR | Zbl

[13] M. S. Nikulin: Chi-square test for continuous distributions with location and scale parameters. Theor. Veroyatnost. i Primenen. 18 (1973), 583-592. (In Russian.) | MR

[14] M. S. Nikulin: On a quantile test. Theor. Veroyat. i Primenen. 19 (1974), 431-434. (In Russian.) | MR | Zbl

[15] D. Pollard: Asymptotics via empirical processes. Statist. Sci. 4 (1989), 341-366. | MR | Zbl

[16] C. R. Rao: Linear Statistical Inference and Its Applications. Wiley, New York 1973. | MR | Zbl

[17] S. S. Shapiro, M. B. Wilk: An analysis variance test of normality. Biometrika 52 (1965), 591-611. | MR

[18] S. S. Shapiro, M. B. Wilk: An analysis of variance test for the exponential distribution (complete samples). Technometrics 14 (1972), 355-370.

[19] G. S. Watson: The $\chi^2$ goodness-of-fit test for normal distributions. Biometrika 44 (1957), 336-348. | MR

[20] G. S. Watson: On chi-square goodness-of-fit tests for continuous distributions. J. Roy. Statist. Soc. Ser. B 20 (1958), 44-72. | MR | Zbl