Comparison of parametric and semi-parametric methods for estimation of the parameters in frailty models in order to investigation effective factors in survival of the dental implants placement

References

• 1.
  David CR. Regression models and life tables (with discussion). J Royal Stat Soc 1972; 34: 187-220.
• 2.
  Wienke A. Frailty models in survival analysis: CRC Press; 2010.
• 3.
  Hougaard P. Statistical inference for shared frailty models. Analysis of Multivariate Survival Data: Springer; 2000. p. 263-311.
• 4.
  Klein JP. Semiparametric estimation of random effects using the Cox model based on the EM algorithm. Biometrics 1992; 48: 795-806.
• 5.
  Martinussen T, Pipper CB. Estimation in the positive stable shared frailty Cox proportional hazards model. Lifetime Data Anal 2005; 11: 99-115.
• 6.
  Moger TA, Aalen OO. A distribution for multivariate frailty based on the compound Poisson distribution with random scale. Lifetime Data Anal 2005; 11: 41-59.
• 7.
  Androulakis E, Koukouvinos C, Vonta F. Estimation and variable selection via frailty models with penalized likelihood. Stat Med 2012; 31: 2223-2239.
• 8.
  Zarb G, Bolender C, Hickey J. Prosthodontic treatment for edentulous patients, Mosby, St. Louis; 1997.
• 9.
  Albrektsson T, Lekholm U. Osseointegration: current state of the art. Dent Clin North Am 1989; 33: 537-554.
• 10.
  Degidi M, Piattelli A. A 7-year follow-up of 93 immediately loaded titanium dental implants. J Oral Implantol 2005; 31: 25-31.
• 11.
  Iezzi G, Degidi M, Scarano A, Perrotti V, Piattelli A. Bone response to submerged, unloaded implants inserted in poor bone sites: a histological and histomorphometrical study of 8 titanium implants retrieved from man. J Oral Implantol 2005; 31: 225-233.
• 12.
  Lemmerman KJ, Lemmerman NE. Osseointegrated dental implants in private practice: a long-term case series study. J Periodontol 2005; 76: 310-319.
• 13.
  Rosenberg ES, Cho SC, Elian N, Jalbout ZN, Froum S, Evian CI. A comparison of characteristics of implant failure and survival in periodontally compromised and periodontally healthy patients: a clinical report. Int J Oral Maxillofac Implants 2004; 19: 873-879.
• 14.
  Tolstunov L. Dental implant success-failure analysis: a concept of implant vulnerability. Implant Dent 2006; 15: 341-346.
• 15.
  Kourtis SG, Sotiriadou S, Voliotis S, Challas A. Private practice results of dental implants. Part I: survival and evaluation of risk factorsPart II: surgical and prosthetic complications. Implant Dent 2004; 13: 373-385.
• 16.
  Ruggiero SL, Mehrotra B, Rosenberg TJ, Engroff SL. Osteonecrosis of the jaws associated with the use of bisphosphonates: a review of 63 cases. J Oral Maxillofac Surg 2004; 62: 527-534.
• 17.
  Ashley ET, Covington LL, Bishop BG, Breault LG. Ailing and failing endosseous dental implants: a literature review. J Contemp Dent Pract 2003; 4: 35-50.
• 18.
  Steigenga JT, Al-Shammari KF, Nociti FH, Misch CE, Wang HL. Dental implant design and its relationship to long-term implant success. Implant Dent 2003; 12: 306-317.
• 19.
  Drago CJ. Rates of osseointegration of dental implants with regard to anatomical location. J Prosthodont 1992; 1: 29-31.
• 20.
  El Askary AS, Meffert RM, Griffin T. Why do dental implants fail? Part I. Implant Dent 1999; 8: 173-185.
• 21.
  Chuang S, Cai T, Douglass C, Wei L, Dodson T. Frailty approach for the analysis of clustered failure time observations in dental research. J Dent Res 2005; 84: 54-58.
• 22.
  Chuang S, Tian L, Wei L, Dodson T. Predicting dental implant survival by use of the marginal approach of the semi-parametric survival methods for clustered observations. J Dent Res 2002; 81: 851-855.
• 23.
  Chuang S-K, Cai T. Predicting clustered dental implant survival using frailty methods. J Dent Res 2006; 85: 1147-1151.
• 24.
  Wu X, Al-Abedalla K, Eimar H, Arekunnath Madathil S, Abi-Nader S, Daniel NG, et al. Antihypertensive medications and the survival rate of osseointegrated dental implants: a cohort study. Clin Implant Dent Relat Res 2016; 18: 1171-1182.
• 25.
  Smith DE, Zarb GA. Criteria for success of osseointegrated endosseous implants. J Prosthet Dent. 1989; 62: 567-572.
• 26.
  Akaike H. A new look at the statistical model identification. IEEE trans Autom Control 1974; 19: 716-723.
• 27.
  Yu B. Estimation of shared Gamma frailty models by a modified EM algorithm. Computational statistics & data analysis 2006; 50: 463-474.
• 28.
  Craven P, Wahba G. Smoothing noisy data with spline functions. Numerische Mathematik 1978; 31: 377-403.
• 29.
  Fan J, Li R. Variable selection via nonconcave penalized likelihood and its oracle properties. J Am Stat Assoc 2001; 96: 1348-1360.
• 30.
  McDermott NE, Chuang SK, Woo VV, Dodson TB. Complications of dental implants: identification, frequency, and associated risk factors. Int J Oral Maxillofac Implants 2003; 18: 848-855.
• 31.
  Paquette DW, Brodala N, Williams RC. Risk factors for endosseous dental implant failure. Dent Clin North Am 2006; 50: 361-374.
• 32.
  Renouard F, Nisand D. Impact of implant length and diameter on survival rates. Clin Oral Imp Res 2006; 17: 35-51.
• 33.
  Mijiritsky E, Mazor Z, Lorean A, Levin L. Implant diameter and length influence on survival: interim results during the first 2 years of function of implants by a single manufacturer. Implant Dent 2013; 22: 394-398.
• 34.
  Attard NJ, Zarb GA. Implant prosthodontic management of partially edentulous patients missing posterior teeth: the Toronto experience. J Prosthet Dent 2003; 89: 352-359.
• 35.
  Shin S-W, Bryant SR, Zarb GA. A retrospective study on the treatment outcome of wide-bodied implants. Int J Prosthodont 2004; 17: 52-58.
• 36.
  das Neves FD, Fones D, Bernardes SR, do Prado CJ, Neto AJF. Short implants--an analysis of longitudinal studies. Int J Oral Maxillofac Implants 2006; 21: 899-906.
• 37.
  Winkler S, Morris HF, Ochi S. Implant survival to 36 months as related to length and diameter. Ann Periodontol 2000; 5: 22-31.##.