Estimation and Prediction for Flexible Weibull Distribution Based on Progressive Type II Censored Data

Best Prediction Method for Progressive Type-II Censored Samples under New Pareto Model with Applications

“…In many fields of life sciences, dealing with the problem of predicting unobserved, censored, or lost observation from the experiment has had a great attention so far (one may refer to Kaminsky and Nelson [29]; Raqab et al [20]; Raqab et al [23,24]; and Bdair et al [11]). Here we study two methods of prediction, namely, (i) the best unbiased predictor (BUP) and (ii) the Bayes predictor (BP).…”

“…One can refer to the books of Balakrishnan and Cramer [6] and Balakrishnan [7]. Recently, several authors are interested in studying parameter inference of different distributions under progressive Type-II censoring scheme (PC) (see, for example, Kundu [8], Pradhan and Kundu [9], Maurya et al [10], and Bdair et al [11]). In addition, inference with other censoring schemes appeared in literature with different lifetime models, such as hybrid Type-I progressive censoring, adaptive Type-II progressive censoring, Type-II hybrid censoring, and others (see, for example, Bdair and Haj Ahmad [12]; Haj Ahmad et al [13]; Salah et al [14] Almetwally et al [15]; and Sabry et al [16]).…”

“…Prediction is very important in statistics, and many authors studied the prediction problem and its applications in real-life data (see, for example, Kaminsky and Rhodin [17]; Al-Hussaini [18]; Madi and Raqab [19]; Raqab et al [20]; and Bdair et al [11]). Prediction's idea depends on predicting the future order statistics based on the observed (obtained) sample data.…”

“…Belaghi et al [24] considered estimation and prediction problems for the Poisson-exponential distribution under Type-II censored data. Bdair et al [11] used Bayes prediction to predict future values of a progressively censored sample under flexible Weibull distribution.…”

A comparison of different methods of estimation for the Flexible Weibull distribution

“…[10] discussed the reliability properties of the proportional hazard reverse transformation using FW distribution. [11] presented estimation and prediction for FW based on progressive type-II censored data. [12] proposed exponentiated additive Weibull distribution where FW is a special case of the proposed distribution.…”