Application of Sedyakin's model and Birnbaum–Saunders family for statistical analysis of redundant systems with one warm stand-by unit

The purpose of this paper is to determine the improved system reliability by introducing the redundancy of the components. This paper considers one warm stand-by unit with one main unit. We study the reliability of such systems using the probability models in terms of the Sedyakin's Model. Parametric family of Birnbaum–Saunders distributions is considered as the distribution of failure times of both main and stand-by units. Parametric point and interval estimation is obtained from censored data.