Approche non paramétrique en théorie de la fiabilité : revue bibliographique

Salima Hassani; Pascal Sarda; Philippe Vieu

Revue de Statistique Appliquée (1986)

  • Volume: 34, Issue: 4, page 27-41
  • ISSN: 0035-175X

How to cite

top

Hassani, Salima, Sarda, Pascal, and Vieu, Philippe. "Approche non paramétrique en théorie de la fiabilité : revue bibliographique." Revue de Statistique Appliquée 34.4 (1986): 27-41. <http://eudml.org/doc/106206>.

@article{Hassani1986,
author = {Hassani, Salima, Sarda, Pascal, Vieu, Philippe},
journal = {Revue de Statistique Appliquée},
keywords = {density estimators; k-nearest neighbor estimator; order statistic; Kaplan-Meier estimator; histogram estimator; survey; hazard function; censored data; bias; maximum deviation; convergence},
language = {fre},
number = {4},
pages = {27-41},
publisher = {Société de Statistique de France},
title = {Approche non paramétrique en théorie de la fiabilité : revue bibliographique},
url = {http://eudml.org/doc/106206},
volume = {34},
year = {1986},
}

TY - JOUR
AU - Hassani, Salima
AU - Sarda, Pascal
AU - Vieu, Philippe
TI - Approche non paramétrique en théorie de la fiabilité : revue bibliographique
JO - Revue de Statistique Appliquée
PY - 1986
PB - Société de Statistique de France
VL - 34
IS - 4
SP - 27
EP - 41
LA - fre
KW - density estimators; k-nearest neighbor estimator; order statistic; Kaplan-Meier estimator; histogram estimator; survey; hazard function; censored data; bias; maximum deviation; convergence
UR - http://eudml.org/doc/106206
ER -

References

top
  1. I.A. Ahmad (1976). — Uniform strong convergence of the generalized failure rate estimated. Bull. Math. Stat, 17, p. 77- 84. Zbl0367.62045
  2. S.J. Bean et C.P. Tsakas (1980). - Developments in non-parametric density estimation. Inter. Stat. Review, 48, p. 267-287. Zbl0444.62047MR601297
  3. P.J. Bickel et E.L. Lehman (1969). - Unbiased estimate in convexe families. Annals of Mathematical Statistics, vol. 40, p. 1523-1525. Zbl0197.44602MR254955
  4. P. Billingsley (1968). - Convergence of Probability Measures. Wiley. Zbl0172.21201MR233396
  5. S.R. Blum et V. Susarla (1980). - Maximal deviation theory of density and failure rate function estimates based on censored data. Multivariate Analysis, V, p. 213-222. Zbl0462.62030MR566340
  6. M.D. Burke et L. Horvath (1984). — Density and failure rate estimation in a Competing risks model. Sankya, vol. 46, Série A, p. 135- 154. Zbl0592.62084
  7. G. Collomb, S. Hassani, P. Sarda et P. Vieu (1986). - Estimation non paramétrique de la fonction de hasard pour des observations dépendantes. Statistique et Analyse des données, vol. 10, n° 3, pp. 42- 49. Zbl0607.62043MR920350
  8. P. Deheuvels (1977). — Estimation non paramétrique de la densité par histogrammes généralisés. Revue de Statistique Appliquée, vol. XXV, n° 3. Zbl0375.62038
  9. J. Doob (1953). - Stochastic processes. Wiley, New-York. Zbl0053.26802MR58896
  10. J. Eryer (1977). — Revue of some non-parametric methods of density estimation. J. Inst. Math. Applic.20, p. 335- 354. Zbl0375.62037
  11. R. Liu et J. Van Ryzin (1985). — A histogram estimator of the hazard rate with censored data. Ann. Stat.13, p. 592-605. Zbl0612.62059
  12. D.O. Loftsgaarden et C.D. Quesenberry (1965). - A non-parametric estimate of a multivariate density function. A.M.S. 36, p. 1049- 1051. Zbl0132.38905MR176567
  13. V.K. Murthy (1965). — Estimation of jumps, reliability and hazard rate. Ann. Stat.36, p. 1032-1040. Zbl0134.36103
  14. E. Parzen (1962). — On estimation of probability density function and mode. Annals of Mathematical Statistics, 33, p. 1065- 1076. Zbl0116.11302
  15. A.H. Racine-Poon et D.G. Hoel (1984). — Non-parametric estimation of the survival function when cause of death is uncertain. Biometrics40, p. 1151-1158. 
  16. H. Ramlau-Hansen (1983). - Smoothing counting processes intensities by means of kernel functions. Ann. Stat.11, p. 453-466. Zbl0514.62050MR696058
  17. J. Rice et M. Rosenblatt (1976). — Estimation of the log survivor function and hazard function. Sankhya, 38 A, p. 60-78. Zbl0398.62081
  18. M. Rosenblatt (1956). - Remarks on some non-parametric estimates of a density function.Annals of Mathematical Statistics, Vol. 27, p. 642-669. Zbl0073.14602MR79873
  19. H. Schäfer (1985). - A note on data-adaptive kernel estimation of the hazard and density function in the random censorship situation. Annals of Statistics, Vol. 13, n° 2, p. 818- 820. Zbl0606.62040MR790578
  20. J. Sethuraman et N.D. Singpurwalla (1981). - Large sample estimates and uniform confidence bounds for the failure rate function based on a naive estimator. Ann. Stat.9, p. 628-632. Zbl0484.62058MR615438
  21. N.D. Singpurwalla et M.Y. Wong (1983 a). - Estimation of the failure rate : a survey of non-parametric methods. Part I : Non bayesian Methods. Commun. Statist. Theor. Math., 12 (5), p. 559-588. Zbl0513.62050MR696809
  22. N.D. Singpurwalla et M.Y. Wong (1983 b). - Kernel estimators of the failure rate function and density estimation : an analogy. J.A.S.A. 83, Vol. 78, n° 382. Zbl0523.62034MR711128
  23. M.A. Tanner (1983). - A note on the variable kernel estimator of the hazard function from randomly censored data. Ann. Stat., Vol. 11, n° 3, p. 994-998. Zbl0542.62029MR707950
  24. M. Tanner et W.H. Wong (1983). - The estimation of the hasard function from randomly censored data by the kernel method. Ann. Stat.11, p. 989-993. Zbl0546.62017MR707949
  25. R.A. Tapia et J.R. Thompson (1978). - Non-parametric probability density estimation. Baltimore, London: Johns Hopkins University Press. Zbl0449.62029MR502724
  26. J. Van Rysin (1973). — A histogram method of density estimation. Comm. Statist.2, p. 493-506. Zbl0283.62040
  27. G.S. Watson et M.R. Leadbetter (1964 a). - Hazard analysis I. Biometrika, 51, p. 175 -184. Zbl0128.13503MR184335
  28. G.S. Watson et M.R. Leadbetter (1964 b). - Hazard analysis II. Sankhya, 26A, p. 110-116. Zbl0138.13906MR184336
  29. W. Wertz (1978). - Statistical density estimation a survey. Vandenboeck et Ruprecht, Göttingen. Zbl0388.62035MR513826
  30. B.S. Yandell (1983). — Non-parametric inference for rates with censored survival data. Ann. Stat.11, 4, p. 1119 -1135. Zbl0598.62050

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.