Estimating the Unknown Parameters of Inverted Linear Exponential Distribution Based on Type-I Hybrid Censored Data

2021 ◽  
Vol 8 (3) ◽  
pp. 191-204
Keyword(s):  
Exponential Distribution ◽  
Censored Data ◽  
Type I ◽  
Unknown Parameters ◽  
Linear Exponential Distribution

Bayesian Estimations of Mixed Exponential Distribution with Type-I Censored Data

2013 ◽  
Vol 753-755 ◽  
pp. 2887-2891
Author(s):  
Cheng Dong Wei ◽  
Huan Qi Wei ◽  
Fu Wang ◽  
Wen Jun Wu
Keyword(s):  
Data Analysis ◽  
Statistical Model ◽  
Exponential Distribution ◽  
Censored Data ◽  
Prior Distribution ◽  
Type I ◽  
Conjugate Prior ◽  
Life Data ◽  
Bayesian Estimations ◽  
Mixed Exponential Distribution

Mixed exponential distribution is a very important statistical model in life data analysis. In this paper, we give Bayesian estimations of mixed exponential distribution with Type-Ⅰ censored data by using conjugate prior distribution based on square loss function. And we prove that the Bayesian estimations are admissible.

scholarly journals Parameter Estimation of Type-I and Type-II Hybrid Censored Data from the Log-Logistic Distribution

2016 ◽  
Vol 4 (1) ◽  
pp. 37-44
Author(s):  
Seunggeun Hyun ◽  
Jimin Lee ◽  
Robert Yearout
Keyword(s):  
Censored Data ◽  
Random Variable ◽  
Point Of View ◽  
Logistic Distribution ◽  
Type I ◽  
Type Ii ◽  
Unknown Parameters ◽  
Type Ii Censoring ◽  
Termination Time ◽  
Censoring Scheme

In experiments on product lifetime and reliability testing, there are many practical situations in which researchers terminate the experiment and report the results before all items of the experiment fail because of time or cost consideration. The most common and popular censoring schemes are type-I and type-II censoring. In type-I censoring scheme, the termination time is pre-fixed, but the number of observed failures is a random variable. However, if the mean lifetime of experimental units is somewhat larger than the pre-fixed termination time, then far fewer failures would be observed and this is a significant disadvantage on the efficiency of inferential procedures. In type-II censoring scheme, however, the number of observed failures is pre-fixed, but the experiment time is a random variable. In this case, at least pre-specified number of failure are obtained, but the termination time is clearly a disadvantage from the experimenter’s point of view. To overcome some of the drawbacks in those schemes, the hybrid censoring scheme, which is a mixture of the conventional type-I and type-II censoring schemes, has received much attention in recent years. In this paper, we consider the analysis of type-I and type-II hybrid censored data where the lifetimes of items follow two-parameter log-logistic distribution. We present the maximum likelihood estimators of unknown parameters and asymptotic confidence intervals, and a simulation study is conducted to evaluate the proposed methods.

Sign in / Sign up

Export Citation Format

Share Document