| Title:
|
Chi-squared goodness-of-fit test for the family of logistic distributions (English) |
| Author:
|
Aguirre, Neige |
| Author:
|
Nikulin, Mikhail |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
30 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
214-222 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62F03 |
| MSC:
|
62G10 |
| MSC:
|
62G20 |
| idZBL:
|
Zbl 0827.62017 |
| idMR:
|
MR1291924 |
| . |
| Date available:
|
2009-09-24T18:46:50Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125173 |
| . |
| Reference:
|
[1] N. Balakrishnan (ed.): Handbook of the Logistic Distribution.Marcel Dekker, New York 1992. Zbl 0794.62001, MR 1174324 |
| Reference:
|
[2] N. Balakrishnan, A. C. Cohen: Order Statistics and Inference: Estimation Methods.Academic Press, Boston 1990. MR 1084812 |
| Reference:
|
[3] L. N. Bolshev, M. S. Nikulin: One solution of the problem of homogeneity.Serdica 1 (1975), 104-109. MR 0403056 |
| Reference:
|
[4] H. Chernoff, E. L. Lehmann: The use of maximum likelihood estimates in $\chi^2$ tests for goodness of fit.Ann. Math. Statist. 25 (1954), 579-586. MR 0065109 |
| Reference:
|
[5] H. Cramer: Mathematical Methods of Statistics.Princeton University Press, Princeton, N. J. 1946. Zbl 0063.01014, MR 0016588 |
| Reference:
|
[6] R. C. Dahiya, J. Gurland: Pearson chi-square test of fit with random intervals.Biometrika 59 (1972), 1, 147-153. MR 0314191 |
| Reference:
|
[7] F. C. Drost: Asymptotics for generalised chi-square goodness-of-fit tests.CWI Tract 48, Centre for Mathematics and Computer Sciences, Amsterdam 1988. MR 0948670 |
| Reference:
|
[8] R. M. Dudley: Probabilities and metrics-convergence of laws on metric spaces with a view to statistical testing.Lecture Notes 45, Aarhus Universitet, Aarhus 1976. Zbl 0355.60004, MR 0488202 |
| Reference:
|
[9] K. O. Dzhaparidze, M. S. Nikulin: On a modification of the standard statistic of Pearson.Theory Prob. Appl. 19 (1974), 4, 851-852. |
| Reference:
|
[10] K. O. Dzhaparidze, M. S. Nikulin: On evaluation of statistics of chi-square type tests.In: Problems of the Theory of Probability Distributions 12 (1992), Nauka, St. Petersburg, 59-90. |
| Reference:
|
[11] R. A. Fisher: On a property connecting the $\chi^2$ measure of discrepancy with the method of maximum likelihood.Atti de Congresso Internazionale di Mathematici, Bologna, 6 (1928), 94-100. |
| Reference:
|
[12] H. L. Harter, A. H. Moore: Maximum-likelihood estimation, from censored samples, of the parameters of a logistic distribution.J. Amer. Statist. Assoc. 62 (1967), 675-684. Zbl 0149.15002, MR 0212922 |
| Reference:
|
[13] L. Le Cam C. Mahan, A. Singh: An extension of a theorem of H. Chernoff and E. L. Lehmann.In: Recent Advances in Statistics. Academic Press, New York 1983, pp. 303-332. MR 0736539 |
| Reference:
|
[14] D. S. Moore, M. C. Spruill: Unified large-sample theory of general chi-squared statistics for tests of fit.Ann. of Statist. 3 (1975), 599-616. Zbl 0322.62047, MR 0375569 |
| Reference:
|
[15] M. S. Nikulin: Chi-square test for normality.In: Proceedings of International Vilnius Conference on Probability Theory and Mathematical Statistics Vol. 2, 1973, pp. 119-122. |
| Reference:
|
[16] M. S. Nikulin: Chi-square test for continuous distributions with shift and scale parameters.Theory Probab. Appl. 18 (1973), 3, 559-568. Zbl 0302.62022, MR 0359166 |
| Reference:
|
[17] M. S. Nikulin: Chi-square test for continuous distributions.Theory Probab. Appl. 18 (1973), 3, 638-639. Zbl 0302.62022, MR 0359166 |
| Reference:
|
[18] M. S. Nikulin, V. C. Voinov: A chi-square goodness-of-fit test for exponential distribution of the first order.Lecture Notes in Math. 1312, Springer-Verlag, Berlin 1989, pp. 239-258. MR 1041356 |
| Reference:
|
[19] C. R. Rao: Linear Statistical Inference and its Applications.J. Wiley, New York 1965. Zbl 0137.36203, MR 0221616 |
| Reference:
|
[20] K. C. Rao, D. S. Robson: A chi-squared statistic for goodness-of-fit tests within the exponential family.Commun. Statist. 3 (1974), 1139-1153. MR 0381125 |
| Reference:
|
[21] V. C Voinov, M. S. Nikulin: Unbiased Estimators and their Applications. Part I: Univariate case.Kluwer Academic Publisher, Dordrecht 1993. MR 1472739 |
| Reference:
|
[22] S. Zacks: The Theory of Statistical Inference.Wiley, New York 1979. MR 0420923 |
| . |
