Progressively censored data from the linear exponential distribution: moments and estimation

摘要

In this paper, we derive new recurrence relations of the single and product moments of progressively Type-Ⅱ right censored order statistics from the linear exponential distribution. These relations generalize those established by Balakrish-nan and Aggarwala (2000) for the standard exponential distribution, those given by Balakrishnan and Sultan (1998) for the Rayleigh distribution and those established by Balakrishnan and Malik (1986) for the moments of order statistics from the linear exponential distribution. Also, we derive the maximum likelihood estimators (MLEs) of the location and scale parameters of the linear exponential distribution. In addition, we use the setup proposed by Balakrishnan and Aggarwala (2000) to compute the approximate best linear unbiased estimates (ABLUEs) of the location and scale parameters of the linear exponential distribution. Finally, we carry out a simulation study to compare between the techniques considered for the estimation.