Bayesian Statistics 9

نویسندگان

  • J. M. Bernardo
  • M. J. Bayarri
  • J. O. Berger
  • A. P. Dawid
  • D. Heckerman
  • A. F. M. Smith
چکیده

We thank all of the discussants for their valuable insights and elaborations. In particular, we thank Prof. Clarke and Dr. Severinski for their conjectured extension to Theorem 3, the product of many personal discussions both in Austin and in Spain (and probably many more hours of work in Miami). The conjecture seems quite likely to be true, and strikes us as a nice way of understanding adaptive penalty functions and infinite-dimensional versions of the corresponding shrinkage priors. Rather than respond to each of the six discussions in turn, we have grouped the comments into three rough categories.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non-linear Bayesian prediction of generalized order statistics for liftime models

In this paper, we obtain  Bayesian prediction intervals as well as Bayes predictive estimators under square error loss for generalized order statistics when the distribution of the underlying population belongs to a family which includes several important distributions.

متن کامل

Comparison of Estimates Using Record Statistics from Lomax Model: Bayesian and Non Bayesian Approaches

This paper address the problem of Bayesian estimation of the parameters, reliability and hazard function in the context of record statistics values from the two-parameter Lomax distribution. The ML and the Bayes estimates based on records are derived for the two unknown parameters and the survival time parameters, reliability and hazard functions. The Bayes estimates are obtained based on conju...

متن کامل

Bayesian Prediction Intervals for Future Order Statistics from the Generalized Exponential Distribution

Let X1, X2, ..., Xr be the first r order statistics from a sample of size n from the generalized exponential distribution with shape parameter θ. In this paper, we consider a Bayesian approach to predicting future order statistics based on the observed ordered data. The predictive densities are obtained and used to determine prediction intervals for unobserved order statistics for one-sample ...

متن کامل

Adaptive ABC model choice and geometric summary statistics for hidden Gibbs random fields

Selecting between different dependency structures of hidden Markov random field can be very challenging, due to the intractable normalizing constant in the likelihood. We answer this question with approximate Bayesian computation (ABC) which provides a model choice method in the Bayesian paradigm. This comes after the work of Grelaud et al. (2009) who exhibited sufficient statistics on directly...

متن کامل

Bayesin estimation and prediction whit multiply type-II censored sample of sequential order statistics from one-and-two-parameter exponential distribution

In this article introduce the sequential order statistics. Therefore based on multiply Type-II censored sample of sequential order statistics, Bayesian estimators are derived for the parameters of one- and two- parameter exponential distributions under the assumption that the prior distribution is given by an inverse gamma distribution and the Bayes estimator with respect to squared error loss ...

متن کامل

Evidential Statistics as a statistical modern synthesis to support 21 st century science . 1

6 During the 20th century, population ecology and science in general relied on two very 7 different statistical paradigms to solve its inferential problems: error statistics (also 8 referred to as classical statistics and frequentist statistics) and Bayesian statistics. A great 9 deal of good science was done using these tools, but both schools suffer from technical 10 and philosophical difficu...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010