Abstract
In this article, we establish recurrence relations among single moments and among product moments of general progressively Type-II right censored order statistics and characterization for linear failure rate distribution using recurrence relations of single moments and product moments of general progressively Type-II right censored order statistics. Further, the results are specialized to the progressively Type-II right censored order statistics.
Highlights
In failure data analysis, it is common that some individuals cannot be observed for the full time to failure. the progressive Type-II right censored is a useful and more general scheme in which a specific fraction of individuals at risk may be removed from the study at each of several ordered failure times
In the theorem we introduce the recurrence relation for single moment of general progressively Type-II right censored order statistics
In the two theorems, we introduce recurrence relations for product moments of general progressively TypeII right censored order statistics from linear failure rate distribution
Summary
It is common that some individuals cannot be observed for the full time to failure. the progressive Type-II right censored is a useful and more general scheme in which a specific fraction of individuals at risk may be removed from the study at each of several ordered failure times. Aggarwala and Balakrishnan [3] derived recurrence relations for single and product moments of progressive Type-II right censored order statistics from exponential, Pareto and power function distributions and their truncated forms. Mohie El-Din, and Kotb [12] derived recurrence relations for single and product moments of generalized order statistics for modified burr XII-Geometric distribution and characterization. Be the ordered observed failure times in a sample of size − under general progressively Type-II right censored order statistics from the linear failure rate distribution with probability density function (pdf) is given by. We shall denote the single moment of the general progressively Type-II right censored order statistics in view of Eq (1) as linear failure rate distribution using recurrence relations of DE4: ():%*,4();,...,4+
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