Simultaneously estimating the three Weibull parameters from progressively censored samples

On a Correction of the Scale MLE for a Two-Parameter Exponential Distribution Under Progressive Type-I Censoring

“…Finally, we would like to mention that similar problems arise for other distributions having a finite left endpoint of support. Cohen (1975), Wingo (1973), Lemon (1975), and Wong (1993) considered three-parameter Weibull distributions with support [μ, ∞). As for the two-parameter exponential distribution Exp(μ, ϑ), the authors have not taken into account that the minimum may be not observed.…”

“…Most of the available inferential analysis for progressively Type-I censored data is approximationbased and numerical in nature. Inferential results for various distributions are obtained by Cohen (1963Cohen ( , 1966Cohen ( , 1975Cohen ( , 1976Cohen ( , 1991, Ringer and Sprinkle (1972), Wingo (1973Wingo ( , 1993, Downloaded by [Stony Brook University] at 01:21 08 October 2014 Cohen and Norgaard (1977), Nelson (1982), Gibbons and Vance (1983), Cohen and Whitten (1988), Balakrishnan and Cohen (1991), and Wong (1993).…”

Progressive censoring methodology: an appraisal

“…1.2, though progressive Type-I right censoring is quite practical and useful while designing a life-testing experiment, it poses difficulties in developing exact inference as well as in studying the theoretical properties of failure times arising from such a censoring scheme. For this reason, most of the work on inference based on progressively Type-I right censored data deal with maximum likelihood estimation and numerical methods for their determination; see, for example, Cohen (1963Cohen ( , 1966Cohen ( , 1975Cohen ( , 1976Cohen ( , 1991, Ringer and Sprinkle (1972), Wingo (1973Wingo ( , 1993, Cohen and Norgaard (1977), Nelson (1982), Gibbons and Vance (1983), Cohen and Whitten (1988), Balakrishnan and Cohen (1991), and Wong (1993). Gajjar and Khatri (1969) considered the progressive Type-I right censoring situation in which at each censoring time T i the population parameters change, and discussed the corresponding inference for log-normal and logistic distributions.…”

Progressively Interval-Censored Life Test with Acceptance Sampling

“…A comprehensive reference regarding the progressive censoring tests, its applications and mathematical results can be found in Balakrishnan and Aggaarwala [3]. The parameter estimations of the exponential, lognormal and Weibull lifetime models with progressive type I censoring have been discussed by Cohen [6], and Wong [17], respectively. The problems of simulation, estimation, calculation of moments and the construction of a LTP with progressive type II censoring have been discussed by Aggarwala and Balakrishnan [2], Balakrishnan and Sandhu [4], Balakrishnan and Saw [5], Tse and Yuen [13], Viverps and Balakrishnan [16] and Yuen and Tse [19], respectively.…”