Comparison of three Estimation Procedures for Weibull Distribution based on Progressive Type II Right Censored Data
نویسندگان
چکیده مقاله:
In this paper, based on the progressive type II right censored data, we consider estimates of MLE and AMLE of scale and shape parameters of weibull distribution. Also a new type of parameter estimation, named inverse estimation, is introdued for both shape and scale parameters of weibull distribution which is used from order statistics properties in it. We use simulations and study the biases and MSE 's of these three estimation procedures and then compare them with each other. At the end, two numerical examples are used to illustrate the proposed procedures.
منابع مشابه
Estimation for Weibull Distribution with Type II Highly Censored Data
Due to cost and time consideration, it is difficult to observe all of the product’s lifetime within a reasonable time period. Hence, censored lifetime data is usually collected in real applications. Even when accelerated life tests (ALT) are used, censoring is usually inevitable. Especially for highly reliable products nowadays, the censoring proportions are more likely greater than 0.5. Such d...
متن کاملEstimation for the Type-II Extreme Value Distribution Based on Progressive Type-II Censoring
In this paper, we discuss the statistical inference on the unknown parameters and reliability function of type-II extreme value (EVII) distribution when the observed data are progressively type-II censored. By applying EM algorithm, we obtain maximum likelihood estimates (MLEs). We also suggest approximate maximum likelihood estimators (AMLEs), which have explicit expressions. We provide Bayes ...
متن کاملPrediction for Lindley Distribution Based on Type-II Right Censored Samples
‎Lindley distribution has received considerable attention in the statistical literature due to its simplicity‎. ‎In this paper‎, ‎we consider the problem of predicting the failure times of experimental units that are censored in a right-censored sample‎‎ when the underlying lifetime is Lindley distributed‎. ‎The maximum likelihood predictor‎, ‎the Bes...
متن کاملSome Results Based on Entropy Properties of Progressive Type-II Censored Data
In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. One of the most common censoring schemes is progressive type-II censoring. The aim of this paper is characterizing the parent distributions based on Shannon entropy of progressive type-II censored order statistics. It is shown that the equality...
متن کاملSome Characterization Results on Generalized Pareto Distribution Based on Progressive Type-II Right Censoring
The progressive censoring scheme is a method of data collecting in reliability and life testing which has been of intensified interest in recent years. In the present paper, we prove some characterization results on generalized Pareto distribution based upon the independency and expected values of some functions of progressive type-II right censored order statistics.
متن کاملBayesian Prediction for Unobserved Data from Exponentiated Weibull Distribution based on Progressive Type II Censoring
In this paper, we consider Bayesian estimation and prediction problem for the parameters and unobserved lifetimes of exponentiated Weibull distribution based on a progressively type II censored samples. By using an extended likelihood function and informative joint prior distributions, the joint posterior density for the parameters and unobserved lifetimes of units censored at the failure time ...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 17 شماره 1
صفحات 55- 69
تاریخ انتشار 2012-09
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
کلمات کلیدی برای این مقاله ارائه نشده است
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023