Some Aspects Of Neutral To Right Priors

Neutral to right priors are generalizations of Dirichlet process priors that fit in well with right‐censored data. These priors are naturally induced by increasing processes with independent increments which, in turn, may be viewed as priors for the cumulative hazard function. This connection together with the Lévy representation of independent increment processes provides a convenient means of studying properties of neutral to right priors.

[1]  J. Doob Stochastic processes , 1953 .

[2]  P. Meyer Probability and potentials , 1966 .

[3]  Robert J. Connor,et al.  Concepts of Independence for Proportions with a Generalization of the Dirichlet Distribution , 1969 .

[4]  Mark Brown,et al.  DISCRIMINATION OF POISSON PROCESSES , 1971 .

[5]  David R. Cox,et al.  Regression models and life tables (with discussion , 1972 .

[6]  T. Ferguson A Bayesian Analysis of Some Nonparametric Problems , 1973 .

[7]  T. Ferguson Prior Distributions on Spaces of Probability Measures , 1974 .

[8]  K. Doksum Tailfree and Neutral Random Probabilities and Their Posterior Distributions , 1974 .

[9]  A. V. Peterson Expressing the Kaplan-Meier estimator as a function of empirical subsurvival functions , 1977 .

[10]  T. Ferguson,et al.  Bayesian Nonparametric Estimation Based on Censored Data , 1979 .

[11]  D. Freedman,et al.  On inconsistent Bayes estimates of location , 1986 .

[12]  N. Hjort Nonparametric Bayes Estimators Based on Beta Processes in Models for Life History Data , 1990 .

[13]  R. Gill,et al.  A Survey of Product-Integration with a View Toward Application in Survival Analysis , 1990 .

[14]  Purushottam W. Laud,et al.  Implementation of bayesian non-parametric inference based on beta processes , 1996 .

[15]  S. Walker,et al.  Beta-Stacy processes and a generalization of the Polya urn scheme , 1997 .

[16]  Robert L. Wolpert,et al.  Simulation of Lévy Random Fields , 1998 .

[17]  S. Walker,et al.  A characterization of a neutral to the right prior via an extension of Johnson’s sufficientness postulate , 1999 .

[18]  Eric R. Ziegel,et al.  Practical Nonparametric and Semiparametric Bayesian Statistics , 1998, Technometrics.

[19]  Yongdai Kim,et al.  On posterior consistency of survival models , 2001 .