Fuzzy Bayes Estimate for the Pareto Distribution under Random Censorship

نویسندگان

  • Yafeng Xia
  • Hongyang Sun
  • Y. Xia
  • H. Sun
چکیده

In this paper, using empirical Bayes (EB) approach, we construct Bayes estimator and empirical Bayes estimator for the subordinate function of parameter of the Pareto distribution families under the condition that the present sample and the past samples are randomly censored from the right by another variable with an unknown distribution, and discusses Bayes estimate and experience Bayes estimate of Linex asymmetric loss function in fuzzy space. At last, we show that the relevant estimate is acceptable and obtain its asymptotical optimality. AMS Subject Classification: 62N05, 60E10

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

Bayesian Estimation for the Pareto Income Distribution under Asymmetric LINEX Loss Function

The use of the Pareto distribution as a model for various socio-economic phenomena dates back to the late nineteenth century. In this paper, after some necessary preliminary results we deal with Bayes estimation of some of the parameters of interest under an asymmetric LINEX loss function, using suitable choice of priors when the scale parameter is known and unknown. Results of a Monte C...

متن کامل

Linear Wavelet-Based Estimation for Derivative of a Density under Random Censorship

In this paper we consider estimation of the derivative of a density based on wavelets methods using randomly right censored data. We extend the results regarding the asymptotic convergence rates due to Prakasa Rao (1996) and Chaubey et al. (2008) under random censorship model. Our treatment is facilitated by results of Stute (1995) and Li (2003) that enable us in demonstrating that the same con...

متن کامل

Designing a new multi-objective fuzzy stochastic DEA model in a dynamic ‎environment to estimate efficiency of decision making units (Case Study: An Iranian Petroleum Company)

This ‎paper presents a new multi-objective fuzzy stochastic data envelopment analysis model          (MOFS-DEA) under mean chance constraints and common weights to estimate the efficiency of decision making units for future financial periods of them. In the initial MOFS-DEA ‏model, the outputs and inputs are ‎characterized by random triangular fuzzy variables with normal distribution, in which ...

متن کامل

A Large Sample Study of the Life Table and Product Limit Estimates under Random Censorship'

Using the model of random censorship, a necessary and sufficient condition for the consistency of the standard (actuarial) life table estimate of a survival distribution is derived. We establish the asymptotic normality of this estimate, showing that Greenwood's variance formula is nearly correct. In the case of a continuous survival distribution we establish limiting normality for the product ...

متن کامل

Estimation in the Koziol-Green model using a gamma process prior

The paper deals with nonparametric Bayes estimators in the KoziolGreen model of random censorship. A gamma process is assumed as a prior distribution for cumulative hazard rate and the Bayes estimator incorporating the proportional hazards censorship property of the model is presented. The estimator is also applied to two data sets from literature.

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